G. B. Silva, S. Glancy, and H. M. Vasconcelos, “Investigating bias in maximum-likelihood quantum-state tomography,” Phys. Rev. A 95, 022107 (2017).

[Crossref]

K. H. Kagalwala, H. E. Kondakci, A. F. Abouraddy, and B. E. Saleh, “Optical coherency matrix tomography,” Sci. Rep. 5, 15333 (2015).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

B. Stoklasa, L. Motka, J. Rehacek, Z. Hradil, and L. Sánchez-Soto, “Wavefront sensing reveals optical coherence,” Nat. Commun. 5, 3275 (2014).

[Crossref]

C. Bamber and J. S. Lundeen, “Observing Dirac’s classical phase space analog to the quantum state,” Phys. Rev. Lett. 112, 070405 (2014).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

L. E. Kopilovich, “Construction of non-redundant antenna configurations on square and hexagonal grids of a large size,” Exp. Astron. 36, 425–430 (2013).

[Crossref]

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

J. C. Matthews, A. Politi, A. Stefanov, and J. L. O’brien, “Manipulation of multiphoton entanglement in waveguide quantum circuits,” Nat. Photonics 3, 346–350 (2009).

[Crossref]

L. Rippe, B. Julsgaard, A. Walther, Y. Ying, and S. Kröll, “Experimental quantum-state tomography of a solid-state qubit,” Phys. Rev. A 77, 022307 (2008).

[Crossref]

Z. Hradil, D. Mogilevtsev, and J. Řeháček, “Biased tomography schemes: an objective approach,” Phys. Rev. Lett. 96, 230401 (2006).

[Crossref]

H. Bechmann-Pasquinucci and W. Tittel, “Quantum cryptography using larger alphabets,” Phys. Rev. A 61, 062308 (2000).

[Crossref]

G. M. D’Ariano, C. Macchiavello, and M. G. Paris, “A fictitious photons method for tomographic imaging,” Opt. Commun. 129, 6–12 (1996).

[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73, 58–61 (1994).

[Crossref]

G. J. Milburn, “Quantum optical Fredkin gate,” Phys. Rev. Lett. 62, 2124–2127 (1989).

[Crossref]

M. A. Horne, A. Shimony, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).

[Crossref]

J. P. Robinson, “Optimum Golomb rulers,” IEEE Trans. Comput. C-28, 943–944 (1979).

[Crossref]

P. Erdös and P. Turán, “On a problem of sidon in additive number theory, and on some related problems,” J. London Math. Soc. s1-16, 212–215 (1941).

[Crossref]

K. H. Kagalwala, H. E. Kondakci, A. F. Abouraddy, and B. E. Saleh, “Optical coherency matrix tomography,” Sci. Rep. 5, 15333 (2015).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

C. Bamber and J. S. Lundeen, “Observing Dirac’s classical phase space analog to the quantum state,” Phys. Rev. Lett. 112, 070405 (2014).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

H. Bechmann-Pasquinucci and W. Tittel, “Quantum cryptography using larger alphabets,” Phys. Rev. A 61, 062308 (2000).

[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73, 58–61 (1994).

[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73, 58–61 (1994).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

G. M. D’Ariano, C. Macchiavello, and M. G. Paris, “A fictitious photons method for tomographic imaging,” Opt. Commun. 129, 6–12 (1996).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

P. Erdös and P. Turán, “On a problem of sidon in additive number theory, and on some related problems,” J. London Math. Soc. s1-16, 212–215 (1941).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

G. B. Silva, S. Glancy, and H. M. Vasconcelos, “Investigating bias in maximum-likelihood quantum-state tomography,” Phys. Rev. A 95, 022107 (2017).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

M. A. Horne, A. Shimony, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).

[Crossref]

B. Stoklasa, L. Motka, J. Rehacek, Z. Hradil, and L. Sánchez-Soto, “Wavefront sensing reveals optical coherence,” Nat. Commun. 5, 3275 (2014).

[Crossref]

Z. Hradil, D. Mogilevtsev, and J. Řeháček, “Biased tomography schemes: an objective approach,” Phys. Rev. Lett. 96, 230401 (2006).

[Crossref]

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3, 1460–1465 (2016).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

D. F. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” in Asymptotic Theory of Quantum Statistical Inference: Selected Papers (World Scientific, 2005), pp. 509–538.

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

L. Rippe, B. Julsgaard, A. Walther, Y. Ying, and S. Kröll, “Experimental quantum-state tomography of a solid-state qubit,” Phys. Rev. A 77, 022307 (2008).

[Crossref]

K. H. Kagalwala, H. E. Kondakci, A. F. Abouraddy, and B. E. Saleh, “Optical coherency matrix tomography,” Sci. Rep. 5, 15333 (2015).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3, 1460–1465 (2016).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

K. H. Kagalwala, H. E. Kondakci, A. F. Abouraddy, and B. E. Saleh, “Optical coherency matrix tomography,” Sci. Rep. 5, 15333 (2015).

[Crossref]

L. E. Kopilovich, “Construction of non-redundant antenna configurations on square and hexagonal grids of a large size,” Exp. Astron. 36, 425–430 (2013).

[Crossref]

L. Rippe, B. Julsgaard, A. Walther, Y. Ying, and S. Kröll, “Experimental quantum-state tomography of a solid-state qubit,” Phys. Rev. A 77, 022307 (2008).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

D. F. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” in Asymptotic Theory of Quantum Statistical Inference: Selected Papers (World Scientific, 2005), pp. 509–538.

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

C. Bamber and J. S. Lundeen, “Observing Dirac’s classical phase space analog to the quantum state,” Phys. Rev. Lett. 112, 070405 (2014).

[Crossref]

G. M. D’Ariano, C. Macchiavello, and M. G. Paris, “A fictitious photons method for tomographic imaging,” Opt. Commun. 129, 6–12 (1996).

[Crossref]

J. C. Matthews, A. Politi, A. Stefanov, and J. L. O’brien, “Manipulation of multiphoton entanglement in waveguide quantum circuits,” Nat. Photonics 3, 346–350 (2009).

[Crossref]

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3, 1460–1465 (2016).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

G. J. Milburn, “Quantum optical Fredkin gate,” Phys. Rev. Lett. 62, 2124–2127 (1989).

[Crossref]

Z. Hradil, D. Mogilevtsev, and J. Řeháček, “Biased tomography schemes: an objective approach,” Phys. Rev. Lett. 96, 230401 (2006).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

B. Stoklasa, L. Motka, J. Rehacek, Z. Hradil, and L. Sánchez-Soto, “Wavefront sensing reveals optical coherence,” Nat. Commun. 5, 3275 (2014).

[Crossref]

D. F. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” in Asymptotic Theory of Quantum Statistical Inference: Selected Papers (World Scientific, 2005), pp. 509–538.

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

J. C. Matthews, A. Politi, A. Stefanov, and J. L. O’brien, “Manipulation of multiphoton entanglement in waveguide quantum circuits,” Nat. Photonics 3, 346–350 (2009).

[Crossref]

G. M. D’Ariano, C. Macchiavello, and M. G. Paris, “A fictitious photons method for tomographic imaging,” Opt. Commun. 129, 6–12 (1996).

[Crossref]

M. G. Paris and M. F. Sacchi, “Quantum tomagraphy,” in Advanced Imaging and Electron Physics, 1st ed. (Academic, 2003), Vol. 128, pp. 206–309.

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).

[Crossref]

J. C. Matthews, A. Politi, A. Stefanov, and J. L. O’brien, “Manipulation of multiphoton entanglement in waveguide quantum circuits,” Nat. Photonics 3, 346–350 (2009).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

B. J. Smith, B. Killett, M. Raymer, I. Walmsley, and K. Banaszek, “Measurement of the transverse spatial quantum state of light at the single-photon level,” Opt. Lett. 30, 3365–3367 (2005).

[Crossref]

D. McAlister, M. Beck, L. Clarke, A. Mayer, and M. Raymer, “Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms,” Opt. Lett. 20, 1181–1183 (1995).

[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73, 58–61 (1994).

[Crossref]

B. Stoklasa, L. Motka, J. Rehacek, Z. Hradil, and L. Sánchez-Soto, “Wavefront sensing reveals optical coherence,” Nat. Commun. 5, 3275 (2014).

[Crossref]

Z. Hradil, D. Mogilevtsev, and J. Řeháček, “Biased tomography schemes: an objective approach,” Phys. Rev. Lett. 96, 230401 (2006).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

L. Rippe, B. Julsgaard, A. Walther, Y. Ying, and S. Kröll, “Experimental quantum-state tomography of a solid-state qubit,” Phys. Rev. A 77, 022307 (2008).

[Crossref]

J. P. Robinson, “Optimum Golomb rulers,” IEEE Trans. Comput. C-28, 943–944 (1979).

[Crossref]

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).

[Crossref]

M. G. Paris and M. F. Sacchi, “Quantum tomagraphy,” in Advanced Imaging and Electron Physics, 1st ed. (Academic, 2003), Vol. 128, pp. 206–309.

K. H. Kagalwala, H. E. Kondakci, A. F. Abouraddy, and B. E. Saleh, “Optical coherency matrix tomography,” Sci. Rep. 5, 15333 (2015).

[Crossref]

B. Stoklasa, L. Motka, J. Rehacek, Z. Hradil, and L. Sánchez-Soto, “Wavefront sensing reveals optical coherence,” Nat. Commun. 5, 3275 (2014).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

M. A. Horne, A. Shimony, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

G. B. Silva, S. Glancy, and H. M. Vasconcelos, “Investigating bias in maximum-likelihood quantum-state tomography,” Phys. Rev. A 95, 022107 (2017).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

B. J. Smith, B. Killett, M. Raymer, I. Walmsley, and K. Banaszek, “Measurement of the transverse spatial quantum state of light at the single-photon level,” Opt. Lett. 30, 3365–3367 (2005).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

J. C. Matthews, A. Politi, A. Stefanov, and J. L. O’brien, “Manipulation of multiphoton entanglement in waveguide quantum circuits,” Nat. Photonics 3, 346–350 (2009).

[Crossref]

B. Stoklasa, L. Motka, J. Rehacek, Z. Hradil, and L. Sánchez-Soto, “Wavefront sensing reveals optical coherence,” Nat. Commun. 5, 3275 (2014).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

H. Bechmann-Pasquinucci and W. Tittel, “Quantum cryptography using larger alphabets,” Phys. Rev. A 61, 062308 (2000).

[Crossref]

P. Erdös and P. Turán, “On a problem of sidon in additive number theory, and on some related problems,” J. London Math. Soc. s1-16, 212–215 (1941).

[Crossref]

G. B. Silva, S. Glancy, and H. M. Vasconcelos, “Investigating bias in maximum-likelihood quantum-state tomography,” Phys. Rev. A 95, 022107 (2017).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

B. J. Smith, B. Killett, M. Raymer, I. Walmsley, and K. Banaszek, “Measurement of the transverse spatial quantum state of light at the single-photon level,” Opt. Lett. 30, 3365–3367 (2005).

[Crossref]

W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, and I. A. Walmsley, “Optimal design for universal multiport interferometers,” Optica 3, 1460–1465 (2016).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

L. Rippe, B. Julsgaard, A. Walther, Y. Ying, and S. Kröll, “Experimental quantum-state tomography of a solid-state qubit,” Phys. Rev. A 77, 022307 (2008).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

D. F. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” in Asymptotic Theory of Quantum Statistical Inference: Selected Papers (World Scientific, 2005), pp. 509–538.

L. Rippe, B. Julsgaard, A. Walther, Y. Ying, and S. Kröll, “Experimental quantum-state tomography of a solid-state qubit,” Phys. Rev. A 77, 022307 (2008).

[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73, 58–61 (1994).

[Crossref]

M. A. Horne, A. Shimony, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).

[Crossref]

L. E. Kopilovich, “Construction of non-redundant antenna configurations on square and hexagonal grids of a large size,” Exp. Astron. 36, 425–430 (2013).

[Crossref]

J. P. Robinson, “Optimum Golomb rulers,” IEEE Trans. Comput. C-28, 943–944 (1979).

[Crossref]

P. Erdös and P. Turán, “On a problem of sidon in additive number theory, and on some related problems,” J. London Math. Soc. s1-16, 212–215 (1941).

[Crossref]

B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, and I. A. Walmsley, “Multiphoton quantum interference in a multiport integrated photonic device,” Nat. Commun. 4, 1356 (2013).

[Crossref]

A. Peruzzo, A. Laing, A. Politi, T. Rudolph, and J. L. O’brien, “Multimode quantum interference of photons in multiport integrated devices,” Nat. Commun. 2, 224 (2011).

[Crossref]

B. Stoklasa, L. Motka, J. Rehacek, Z. Hradil, and L. Sánchez-Soto, “Wavefront sensing reveals optical coherence,” Nat. Commun. 5, 3275 (2014).

[Crossref]

J. C. Matthews, A. Politi, A. Stefanov, and J. L. O’brien, “Manipulation of multiphoton entanglement in waveguide quantum circuits,” Nat. Photonics 3, 346–350 (2009).

[Crossref]

J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, and I. Walmsley, “Tomography of quantum detectors,” Nat. Phys. 5, 27–30 (2009).

[Crossref]

B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134–140 (2009).

[Crossref]

G. M. D’Ariano, C. Macchiavello, and M. G. Paris, “A fictitious photons method for tomographic imaging,” Opt. Commun. 129, 6–12 (1996).

[Crossref]

B. J. Smith, B. Killett, M. Raymer, I. Walmsley, and K. Banaszek, “Measurement of the transverse spatial quantum state of light at the single-photon level,” Opt. Lett. 30, 3365–3367 (2005).

[Crossref]

D. McAlister, M. Beck, L. Clarke, A. Mayer, and M. Raymer, “Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms,” Opt. Lett. 20, 1181–1183 (1995).

[Crossref]

H. Bechmann-Pasquinucci and W. Tittel, “Quantum cryptography using larger alphabets,” Phys. Rev. A 61, 062308 (2000).

[Crossref]

L. Rippe, B. Julsgaard, A. Walther, Y. Ying, and S. Kröll, “Experimental quantum-state tomography of a solid-state qubit,” Phys. Rev. A 77, 022307 (2008).

[Crossref]

G. B. Silva, S. Glancy, and H. M. Vasconcelos, “Investigating bias in maximum-likelihood quantum-state tomography,” Phys. Rev. A 95, 022107 (2017).

[Crossref]

Z. Hradil, D. Mogilevtsev, and J. Řeháček, “Biased tomography schemes: an objective approach,” Phys. Rev. Lett. 96, 230401 (2006).

[Crossref]

G. J. Milburn, “Quantum optical Fredkin gate,” Phys. Rev. Lett. 62, 2124–2127 (1989).

[Crossref]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73, 58–61 (1994).

[Crossref]

C. Bamber and J. S. Lundeen, “Observing Dirac’s classical phase space analog to the quantum state,” Phys. Rev. Lett. 112, 070405 (2014).

[Crossref]

M. A. Horne, A. Shimony, and A. Zeilinger, “Two-particle interferometry,” Phys. Rev. Lett. 62, 2209–2212 (1989).

[Crossref]

C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, “Systematic errors in current quantum state tomography tools,” Phys. Rev. Lett. 114, 080403 (2015).

[Crossref]

K. H. Kagalwala, H. E. Kondakci, A. F. Abouraddy, and B. E. Saleh, “Optical coherency matrix tomography,” Sci. Rep. 5, 15333 (2015).

[Crossref]

M. G. Paris and M. F. Sacchi, “Quantum tomagraphy,” in Advanced Imaging and Electron Physics, 1st ed. (Academic, 2003), Vol. 128, pp. 206–309.

D. F. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” in Asymptotic Theory of Quantum Statistical Inference: Selected Papers (World Scientific, 2005), pp. 509–538.