K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

T. Harayama, S. Sunada, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Fast nondeterministic random-bit generation using on-chip chaos lasers,” Phys. Rev. A 83(3), 031803(R) (2011).

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci.5973, 128–139 (2010).

[CrossRef]

A. Argyris, E. Grivas, M. Hamacher, A. Bogris, and D. Syvridis, “Chaos-on-a-chip secures data transmission in optical fiber links,” Opt. Express18(5), 5188–5198 (2010).

[CrossRef]
[PubMed]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

A. Argyris, S. Deligiannidis, E. Pikasis, A. Bogris, and D. Syvridis, “Implementation of 140 Gb/s true random bit generator based on a chaotic photonic integrated circuit,” Opt. Express18(18), 18763–18768 (2010).

[CrossRef]
[PubMed]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express17(12), 10025–10034 (2009).

[CrossRef]
[PubMed]

D. Bar-Lev and J. Scheuer, “Enhanced key-establishing rates and efficiencies in Fiber Laser Key Distribution systems,” Phys. Lett. A373(46), 4287–4296 (2009).

[CrossRef]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

A. Argyris, M. Hamacher, K. E. Chlouverakis, A. Bogris, and D. Syvridis, “Photonic integrated device for chaos applications in communications,” Phys. Rev. Lett.100(19), 194101 (2008).

[CrossRef]
[PubMed]

A. Zadok, J. Scheuer, J. Sendowski, and A. Yariv, “Secure key generation using an ultra-long fiber laser: transient analysis and experiment,” Opt. Express16(21), 16680–16690 (2008).

[CrossRef]
[PubMed]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.75(2), 026208 (2007).

[CrossRef]
[PubMed]

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett.32(4), 403–405 (2007).

[CrossRef]
[PubMed]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

J. Muramatsu, K. Yoshimura, K. Arai, and P. Davis, “Secret key capacity for optimally correlated sources under sampling attack,” IEEE Trans. Inf. Theory52(11), 5140–5151 (2006).

[CrossRef]

J. Muramatsu, “Secret key agreement from correlated source outputs using low density parity check matrices,” IEICE Trans. FundamentalsE89-A(7), 2036–2046 (2006).

[CrossRef]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

J. Scheuer and A. Yariv, “Giant Fiber Lasers: A New Paradigm for Secure Key Distribution,” Phys. Rev. Lett.97(14), 140502 (2006).

[CrossRef]
[PubMed]

A. Uchida, N. Shibasaki, S. Nogawa, and S. Yoshimori, “Transient characteristics of chaos synchronization in a semiconductor laser subject to optical feedback,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.69(5), 056201 (2004).

[CrossRef]
[PubMed]

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett.83(15), 3213–3215 (2003).

[CrossRef]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys.74(1), 145–195 (2002).

[CrossRef]

R. Vicente, T. Pérez, and C. R. Mirasso, “Open- versus closed-loop performance of synchronized chaotic external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1197–1204 (2002).

[CrossRef]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

[CrossRef]

U. M. Maurer, “Secret key agreement by public discussion from common information,” IEEE Trans. Inf. Theory39(3), 733–742 (1993).

[CrossRef]

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor laser properties,” IEEE J. Quantum Electron.16(3), 347–355 (1980).

[CrossRef]

W. Diffie and M. Hellman, “New Directions in cryptography,” IEEE Trans. Inf. Theory22(6), 644–654 (1976).

[CrossRef]

C. E. Shannon, “Communication theory of secret system,” Bell Syst. Tech. J.28, 656–715 (1949).

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

J. Muramatsu, K. Yoshimura, K. Arai, and P. Davis, “Secret key capacity for optimally correlated sources under sampling attack,” IEEE Trans. Inf. Theory52(11), 5140–5151 (2006).

[CrossRef]

A. Argyris, E. Grivas, M. Hamacher, A. Bogris, and D. Syvridis, “Chaos-on-a-chip secures data transmission in optical fiber links,” Opt. Express18(5), 5188–5198 (2010).

[CrossRef]
[PubMed]

A. Argyris, S. Deligiannidis, E. Pikasis, A. Bogris, and D. Syvridis, “Implementation of 140 Gb/s true random bit generator based on a chaotic photonic integrated circuit,” Opt. Express18(18), 18763–18768 (2010).

[CrossRef]
[PubMed]

A. Argyris, M. Hamacher, K. E. Chlouverakis, A. Bogris, and D. Syvridis, “Photonic integrated device for chaos applications in communications,” Phys. Rev. Lett.100(19), 194101 (2008).

[CrossRef]
[PubMed]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

D. Bar-Lev and J. Scheuer, “Enhanced key-establishing rates and efficiencies in Fiber Laser Key Distribution systems,” Phys. Lett. A373(46), 4287–4296 (2009).

[CrossRef]

A. Argyris, S. Deligiannidis, E. Pikasis, A. Bogris, and D. Syvridis, “Implementation of 140 Gb/s true random bit generator based on a chaotic photonic integrated circuit,” Opt. Express18(18), 18763–18768 (2010).

[CrossRef]
[PubMed]

A. Argyris, E. Grivas, M. Hamacher, A. Bogris, and D. Syvridis, “Chaos-on-a-chip secures data transmission in optical fiber links,” Opt. Express18(5), 5188–5198 (2010).

[CrossRef]
[PubMed]

A. Argyris, M. Hamacher, K. E. Chlouverakis, A. Bogris, and D. Syvridis, “Photonic integrated device for chaos applications in communications,” Phys. Rev. Lett.100(19), 194101 (2008).

[CrossRef]
[PubMed]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

A. Argyris, M. Hamacher, K. E. Chlouverakis, A. Bogris, and D. Syvridis, “Photonic integrated device for chaos applications in communications,” Phys. Rev. Lett.100(19), 194101 (2008).

[CrossRef]
[PubMed]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

[CrossRef]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

T. Harayama, S. Sunada, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Fast nondeterministic random-bit generation using on-chip chaos lasers,” Phys. Rev. A 83(3), 031803(R) (2011).

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci.5973, 128–139 (2010).

[CrossRef]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express17(12), 10025–10034 (2009).

[CrossRef]
[PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.75(2), 026208 (2007).

[CrossRef]
[PubMed]

J. Muramatsu, K. Yoshimura, K. Arai, and P. Davis, “Secret key capacity for optimally correlated sources under sampling attack,” IEEE Trans. Inf. Theory52(11), 5140–5151 (2006).

[CrossRef]

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett.83(15), 3213–3215 (2003).

[CrossRef]

W. Diffie and M. Hellman, “New Directions in cryptography,” IEEE Trans. Inf. Theory22(6), 644–654 (1976).

[CrossRef]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

[CrossRef]

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett.32(4), 403–405 (2007).

[CrossRef]
[PubMed]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

[CrossRef]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys.74(1), 145–195 (2002).

[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

A. Argyris, E. Grivas, M. Hamacher, A. Bogris, and D. Syvridis, “Chaos-on-a-chip secures data transmission in optical fiber links,” Opt. Express18(5), 5188–5198 (2010).

[CrossRef]
[PubMed]

A. Argyris, M. Hamacher, K. E. Chlouverakis, A. Bogris, and D. Syvridis, “Photonic integrated device for chaos applications in communications,” Phys. Rev. Lett.100(19), 194101 (2008).

[CrossRef]
[PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

T. Harayama, S. Sunada, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Fast nondeterministic random-bit generation using on-chip chaos lasers,” Phys. Rev. A 83(3), 031803(R) (2011).

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

[CrossRef]

W. Diffie and M. Hellman, “New Directions in cryptography,” IEEE Trans. Inf. Theory22(6), 644–654 (1976).

[CrossRef]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett.83(15), 3213–3215 (2003).

[CrossRef]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor laser properties,” IEEE J. Quantum Electron.16(3), 347–355 (1980).

[CrossRef]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor laser properties,” IEEE J. Quantum Electron.16(3), 347–355 (1980).

[CrossRef]

U. M. Maurer, “Secret key agreement by public discussion from common information,” IEEE Trans. Inf. Theory39(3), 733–742 (1993).

[CrossRef]

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett.32(4), 403–405 (2007).

[CrossRef]
[PubMed]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

[CrossRef]

R. Vicente, T. Pérez, and C. R. Mirasso, “Open- versus closed-loop performance of synchronized chaotic external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1197–1204 (2002).

[CrossRef]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

[CrossRef]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci.5973, 128–139 (2010).

[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

J. Muramatsu, K. Yoshimura, K. Arai, and P. Davis, “Secret key capacity for optimally correlated sources under sampling attack,” IEEE Trans. Inf. Theory52(11), 5140–5151 (2006).

[CrossRef]

J. Muramatsu, “Secret key agreement from correlated source outputs using low density parity check matrices,” IEICE Trans. FundamentalsE89-A(7), 2036–2046 (2006).

[CrossRef]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

A. Uchida, N. Shibasaki, S. Nogawa, and S. Yoshimori, “Transient characteristics of chaos synchronization in a semiconductor laser subject to optical feedback,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.69(5), 056201 (2004).

[CrossRef]
[PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express17(12), 10025–10034 (2009).

[CrossRef]
[PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

[CrossRef]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

R. Vicente, T. Pérez, and C. R. Mirasso, “Open- versus closed-loop performance of synchronized chaotic external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1197–1204 (2002).

[CrossRef]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys.74(1), 145–195 (2002).

[CrossRef]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

D. Bar-Lev and J. Scheuer, “Enhanced key-establishing rates and efficiencies in Fiber Laser Key Distribution systems,” Phys. Lett. A373(46), 4287–4296 (2009).

[CrossRef]

A. Zadok, J. Scheuer, J. Sendowski, and A. Yariv, “Secure key generation using an ultra-long fiber laser: transient analysis and experiment,” Opt. Express16(21), 16680–16690 (2008).

[CrossRef]
[PubMed]

J. Scheuer and A. Yariv, “Giant Fiber Lasers: A New Paradigm for Secure Key Distribution,” Phys. Rev. Lett.97(14), 140502 (2006).

[CrossRef]
[PubMed]

C. E. Shannon, “Communication theory of secret system,” Bell Syst. Tech. J.28, 656–715 (1949).

A. Uchida, N. Shibasaki, S. Nogawa, and S. Yoshimori, “Transient characteristics of chaos synchronization in a semiconductor laser subject to optical feedback,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.69(5), 056201 (2004).

[CrossRef]
[PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

T. Harayama, S. Sunada, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Fast nondeterministic random-bit generation using on-chip chaos lasers,” Phys. Rev. A 83(3), 031803(R) (2011).

A. Argyris, S. Deligiannidis, E. Pikasis, A. Bogris, and D. Syvridis, “Implementation of 140 Gb/s true random bit generator based on a chaotic photonic integrated circuit,” Opt. Express18(18), 18763–18768 (2010).

[CrossRef]
[PubMed]

A. Argyris, E. Grivas, M. Hamacher, A. Bogris, and D. Syvridis, “Chaos-on-a-chip secures data transmission in optical fiber links,” Opt. Express18(5), 5188–5198 (2010).

[CrossRef]
[PubMed]

A. Argyris, M. Hamacher, K. E. Chlouverakis, A. Bogris, and D. Syvridis, “Photonic integrated device for chaos applications in communications,” Phys. Rev. Lett.100(19), 194101 (2008).

[CrossRef]
[PubMed]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys.74(1), 145–195 (2002).

[CrossRef]

T. Harayama, S. Sunada, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Fast nondeterministic random-bit generation using on-chip chaos lasers,” Phys. Rev. A 83(3), 031803(R) (2011).

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

T. Harayama, S. Sunada, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Fast nondeterministic random-bit generation using on-chip chaos lasers,” Phys. Rev. A 83(3), 031803(R) (2011).

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express17(12), 10025–10034 (2009).

[CrossRef]
[PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

A. Uchida, N. Shibasaki, S. Nogawa, and S. Yoshimori, “Transient characteristics of chaos synchronization in a semiconductor laser subject to optical feedback,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.69(5), 056201 (2004).

[CrossRef]
[PubMed]

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett.83(15), 3213–3215 (2003).

[CrossRef]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.75(2), 026208 (2007).

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[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express17(12), 10025–10034 (2009).

[CrossRef]
[PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

A. Uchida, N. Shibasaki, S. Nogawa, and S. Yoshimori, “Transient characteristics of chaos synchronization in a semiconductor laser subject to optical feedback,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.69(5), 056201 (2004).

[CrossRef]
[PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

T. Harayama, S. Sunada, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Fast nondeterministic random-bit generation using on-chip chaos lasers,” Phys. Rev. A 83(3), 031803(R) (2011).

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci.5973, 128–139 (2010).

[CrossRef]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express17(12), 10025–10034 (2009).

[CrossRef]
[PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.75(2), 026208 (2007).

[CrossRef]
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[CrossRef]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys.74(1), 145–195 (2002).

[CrossRef]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett.83(15), 3213–3215 (2003).

[CrossRef]

C. E. Shannon, “Communication theory of secret system,” Bell Syst. Tech. J.28, 656–715 (1949).

T. Harayama, S. Sunada, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Fast nondeterministic random-bit generation using on-chip chaos lasers,” Phys. Rev. A 83(3), 031803(R) (2011).

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[CrossRef]

R. Vicente, T. Pérez, and C. R. Mirasso, “Open- versus closed-loop performance of synchronized chaotic external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1197–1204 (2002).

[CrossRef]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsäßer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron.38(9), 1162–1170 (2002).

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[CrossRef]

J. Muramatsu, K. Yoshimura, K. Arai, and P. Davis, “Secret key capacity for optimally correlated sources under sampling attack,” IEEE Trans. Inf. Theory52(11), 5140–5151 (2006).

[CrossRef]

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[CrossRef]

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci.5973, 128–139 (2010).

[CrossRef]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008).

[CrossRef]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express15(7), 3974–3980 (2007).

[CrossRef]
[PubMed]

A. Zadok, J. Scheuer, J. Sendowski, and A. Yariv, “Secure key generation using an ultra-long fiber laser: transient analysis and experiment,” Opt. Express16(21), 16680–16690 (2008).

[CrossRef]
[PubMed]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express17(12), 10025–10034 (2009).

[CrossRef]
[PubMed]

A. Argyris, E. Grivas, M. Hamacher, A. Bogris, and D. Syvridis, “Chaos-on-a-chip secures data transmission in optical fiber links,” Opt. Express18(5), 5188–5198 (2010).

[CrossRef]
[PubMed]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010).

[CrossRef]
[PubMed]

A. Argyris, S. Deligiannidis, E. Pikasis, A. Bogris, and D. Syvridis, “Implementation of 140 Gb/s true random bit generator based on a chaotic photonic integrated circuit,” Opt. Express18(18), 18763–18768 (2010).

[CrossRef]
[PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express20(11), 11813–11829 (2012).

[CrossRef]
[PubMed]

D. Bar-Lev and J. Scheuer, “Enhanced key-establishing rates and efficiencies in Fiber Laser Key Distribution systems,” Phys. Lett. A373(46), 4287–4296 (2009).

[CrossRef]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.74(4), 046201 (2006).

[CrossRef]
[PubMed]

A. Uchida, N. Shibasaki, S. Nogawa, and S. Yoshimori, “Transient characteristics of chaos synchronization in a semiconductor laser subject to optical feedback,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.69(5), 056201 (2004).

[CrossRef]
[PubMed]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.75(2), 026208 (2007).

[CrossRef]
[PubMed]

A. Argyris, M. Hamacher, K. E. Chlouverakis, A. Bogris, and D. Syvridis, “Photonic integrated device for chaos applications in communications,” Phys. Rev. Lett.100(19), 194101 (2008).

[CrossRef]
[PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett.108(7), 070602 (2012).

[CrossRef]
[PubMed]

J. Scheuer and A. Yariv, “Giant Fiber Lasers: A New Paradigm for Secure Key Distribution,” Phys. Rev. Lett.97(14), 140502 (2006).

[CrossRef]
[PubMed]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys.74(1), 145–195 (2002).

[CrossRef]

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