A. Streltsov, G. Adesso, and M. B. Plenio, “Colloquium: quantum coherence as a resource,” Rev. Mod. Phys. 89, 041003 (2017).

[Crossref]

A. Norrman, K. Blomstedt, T. Setälä, and A. Friberg, “Complementarity and polarization modulation in photon interference,” Phys. Rev. Lett. 119, 040401 (2017).

[Crossref]

J. H. Eberly, X.-F. Qian, and A. N. Vamivakas, “Polarization coherence theorem,” Optica 4, 1113–1114 (2017).

[Crossref]

X.-F. Qian, A. N. Vamivakas, and J. H. Eberly, “Emerging connections, classical and quantum optics,” Opt. Photon. News 28(10), 34–41 (2017).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

J. H. Eberly, “Correlation, coherence and context,” Laser Phys. 26, 084004 (2016).

[Crossref]

W. F. Balthazar, C. E. R. Souza, D. P. Caetano, E. F. Galvão, J. A. O. Huguenin, and A. Z. Khoury, “Tripartite nonseparability in classical optics,” Opt. Lett. 41, 5797–5800 (2016).

[Crossref]

X.-F. Qian, T. Malhotra, A. N. Vamivakas, and J. H. Eberly, “Coherence constraints and the last hidden optical coherence,” Phys. Rev. Lett. 117, 153901 (2016).

[Crossref]

M. A. Alonso, X.-F. Qian, and J. H. Eberly, “Center-of-mass interpretation for bipartite purity analysis of N-party entanglement,” Phys. Rev. A 94, 030303 (2016).

[Crossref]

X.-F. Qian, B. Little, J. C. Howell, and J. H. Eberly, “Shifting the quantum-classical boundary: theory and experiment for statistically classical optical fields,” Optica 2, 611–615 (2015).

[Crossref]

A. Streltsov, U. Singh, H. S. Dhar, M. N. Bera, and G. Adesso, “Measuring quantum coherence with entanglement,” Phys. Rev. Lett. 115, 020403 (2015).

[Crossref]

J. H. Eberly, “Shimony-Wolf states and hidden coherences in classical light,” Contem. Phys. 56, 407–416 (2015).

[Crossref]

J. Svozilík, A. Vallés, J. Peřina, and J. P. Torres, “Revealing hidden coherence in partially coherent light,” Phys. Rev. Lett. 115, 220501 (2015).

[Crossref]

F. De Zela, “Relationship between the degree of polarization, indistinguishability, and entanglement,” Phys. Rev. A 89, 013845 (2014).

[Crossref]

T. Baumgratz, M. Cramer, and M. B. Plenio, “Quantifying coherence,” Phys. Rev. Lett. 113, 140401 (2014).

[Crossref]

A. F. Abouraddy, K. H. Kagalwala, and B. E. A. Saleh, “Two-point optical coherency matrix tomography,” Opt. Lett. 39, 2411–2414 (2014).

[Crossref]

K. H. Kagalwala, G. DiGiuseppe, A. F. Abouraddy, and B. E. A. Saleh, “Bell’s measure in classical optical coherence,” Nat. Photonics 7, 72–78 (2013).

[Crossref]

R. Menzel, D. Puhlmann, A. Heuer, and W. P. Schleich, “Wave-particle dualism and complementarity unraveled by a different mode,” Proc. Natl. Acad. Sci. USA 109, 9314–9319 (2012).

[Crossref]

H.-Y. Liu, J.-H. Huang, J.-R. Gao, M. S. Zubairy, and S.-Y. Zhu, “Relation between wave-particle duality and quantum uncertainty,” Phys. Rev. A 85, 022106 (2012).

[Crossref]

M. Jakob and J. A. Bergou, “Quantitative complementarity relations in bipartite systems: entanglement as a physical reality,” Opt. Commun. 283, 827–830 (2010).

[Crossref]

A. Luis, “Coherence, polarization and entanglement for classical light fields,” Opt. Commun. 282, 3665–3670 (2009).

[Crossref]

F. de Melo, S. P. Walborn, J. A. Bergou, and L. Davidovich, “Quantum nondemolition circuit for testing bipartite complementarity,” Phys. Rev. Lett. 98, 250501 (2007).

[Crossref]

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” Phys. Rev. A 64, 052312 (2001).

[Crossref]

B.-G. Englert, M. O. Scully, and H. Walther, “On mechanisms that enforce complementarity,” J. Mod. Opt. 47, 2213–2220 (2000).

[Crossref]

S. Dürr, T. Nonn, and G. Rempe, “Origin of quantum-mechanical complementarity probed by a ‘which-way’ experiment in an atom interferometer,” Nature 395, 33–37 (1998).

[Crossref]

S. Dürr, T. Nonn, and G. Rempe, “Fringe visibility and which-way information in an atom interferometer,” Phys. Rev. Lett. 81, 5705–5709 (1998).

[Crossref]

R. J. C. Spreeuw, “A classical analogy of entanglement,” Found. Phys. 28, 361–374 (1998), for a very early recognition that entanglement (nonseparability of superpositions of tensor products) also belongs to classical wave theory as well as to quantum physics.

[Crossref]

P. L. Knight, “Quantum mechanics: where the weirdness comes from,” Nature 395, 12–13 (1998).

[Crossref]

W. K. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Phys. Rev. Lett. 80, 2245–2248 (1998). Concurrence is designed for two-qubit entanglement, and so is particularly appropriate in qubit-analog contexts such as two-slit interference configurations. It quantifies entanglement (inseparability) and is strictly bounded, 0 ≤ C ≤ 1.

[Crossref]

B.-G. Englert, “Fringe visibility and which-way information: an inequality,” Phys. Rev. Lett. 77, 2154–2157 (1996).

[Crossref]

B.-G. Englert, M. O. Scully, and H. Walther, “Complementarity and uncertainty,” Nature 375, 367–368 (1995).

[Crossref]

G. Jaeger, A. Shimony, and L. Vaidman, “Two interferometric complementarities,” Phys. Rev. A 51, 54–67 (1995).

[Crossref]

B.-G. Englert, M. O. Scully, and H. Walther, “The duality in matter and light,” Sci. Am. 271, 86–92 (1994).

[Crossref]

G. Jaeger, M. A. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).

[Crossref]

W. K. Wootters and W. H. Zurek, “Complementarity in the double-slit experiment: quantum nonseparability and a quantitative statement of Bohr’s principle,” Phys. Rev. D 19, 473–484 (1979).

[Crossref]

L. de Broglie, “Recherches sur la théorie des quanta,” Ann. Phys. 10, 22–128 (1925). English translation by A. F. Kracklauer, “On the Theory of Quanta,” available from aflb.ensmp.fr/LDB-oeuvres/De_Broglie_Kracklauer.pdf.

[Crossref]

Th. Young, “An account of some cases of the production of colours, not hitherto described,” Philos. Trans. R. Soc. London 92, 387–397 (1802).

[Crossref]

A. F. Abouraddy, K. H. Kagalwala, and B. E. A. Saleh, “Two-point optical coherency matrix tomography,” Opt. Lett. 39, 2411–2414 (2014).

[Crossref]

K. H. Kagalwala, G. DiGiuseppe, A. F. Abouraddy, and B. E. A. Saleh, “Bell’s measure in classical optical coherence,” Nat. Photonics 7, 72–78 (2013).

[Crossref]

A. Streltsov, G. Adesso, and M. B. Plenio, “Colloquium: quantum coherence as a resource,” Rev. Mod. Phys. 89, 041003 (2017).

[Crossref]

A. Streltsov, U. Singh, H. S. Dhar, M. N. Bera, and G. Adesso, “Measuring quantum coherence with entanglement,” Phys. Rev. Lett. 115, 020403 (2015).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

M. A. Alonso, X.-F. Qian, and J. H. Eberly, “Center-of-mass interpretation for bipartite purity analysis of N-party entanglement,” Phys. Rev. A 94, 030303 (2016).

[Crossref]

T. Baumgratz, M. Cramer, and M. B. Plenio, “Quantifying coherence,” Phys. Rev. Lett. 113, 140401 (2014).

[Crossref]

A. Streltsov, U. Singh, H. S. Dhar, M. N. Bera, and G. Adesso, “Measuring quantum coherence with entanglement,” Phys. Rev. Lett. 115, 020403 (2015).

[Crossref]

M. Jakob and J. A. Bergou, “Quantitative complementarity relations in bipartite systems: entanglement as a physical reality,” Opt. Commun. 283, 827–830 (2010).

[Crossref]

F. de Melo, S. P. Walborn, J. A. Bergou, and L. Davidovich, “Quantum nondemolition circuit for testing bipartite complementarity,” Phys. Rev. Lett. 98, 250501 (2007).

[Crossref]

A. Norrman, K. Blomstedt, T. Setälä, and A. Friberg, “Complementarity and polarization modulation in photon interference,” Phys. Rev. Lett. 119, 040401 (2017).

[Crossref]

T. Baumgratz, M. Cramer, and M. B. Plenio, “Quantifying coherence,” Phys. Rev. Lett. 113, 140401 (2014).

[Crossref]

F. de Melo, S. P. Walborn, J. A. Bergou, and L. Davidovich, “Quantum nondemolition circuit for testing bipartite complementarity,” Phys. Rev. Lett. 98, 250501 (2007).

[Crossref]

L. de Broglie, “Recherches sur la théorie des quanta,” Ann. Phys. 10, 22–128 (1925). English translation by A. F. Kracklauer, “On the Theory of Quanta,” available from aflb.ensmp.fr/LDB-oeuvres/De_Broglie_Kracklauer.pdf.

[Crossref]

F. de Melo, S. P. Walborn, J. A. Bergou, and L. Davidovich, “Quantum nondemolition circuit for testing bipartite complementarity,” Phys. Rev. Lett. 98, 250501 (2007).

[Crossref]

F. De Zela, “Hidden coherences and two-state systems,” Optica 5, 243–250 (2018).

[Crossref]

F. De Zela, “Optical approach to concurrence and polarization,” Opt. Lett. 43, 2603–2606 (2018).

[Crossref]

F. De Zela, “Relationship between the degree of polarization, indistinguishability, and entanglement,” Phys. Rev. A 89, 013845 (2014).

[Crossref]

A. Streltsov, U. Singh, H. S. Dhar, M. N. Bera, and G. Adesso, “Measuring quantum coherence with entanglement,” Phys. Rev. Lett. 115, 020403 (2015).

[Crossref]

K. H. Kagalwala, G. DiGiuseppe, A. F. Abouraddy, and B. E. A. Saleh, “Bell’s measure in classical optical coherence,” Nat. Photonics 7, 72–78 (2013).

[Crossref]

S. Dürr, T. Nonn, and G. Rempe, “Origin of quantum-mechanical complementarity probed by a ‘which-way’ experiment in an atom interferometer,” Nature 395, 33–37 (1998).

[Crossref]

S. Dürr, T. Nonn, and G. Rempe, “Fringe visibility and which-way information in an atom interferometer,” Phys. Rev. Lett. 81, 5705–5709 (1998).

[Crossref]

X.-F. Qian, A. N. Vamivakas, and J. H. Eberly, “Emerging connections, classical and quantum optics,” Opt. Photon. News 28(10), 34–41 (2017).

[Crossref]

J. H. Eberly, X.-F. Qian, and A. N. Vamivakas, “Polarization coherence theorem,” Optica 4, 1113–1114 (2017).

[Crossref]

X.-F. Qian, T. Malhotra, A. N. Vamivakas, and J. H. Eberly, “Coherence constraints and the last hidden optical coherence,” Phys. Rev. Lett. 117, 153901 (2016).

[Crossref]

M. A. Alonso, X.-F. Qian, and J. H. Eberly, “Center-of-mass interpretation for bipartite purity analysis of N-party entanglement,” Phys. Rev. A 94, 030303 (2016).

[Crossref]

J. H. Eberly, “Correlation, coherence and context,” Laser Phys. 26, 084004 (2016).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

J. H. Eberly, “Shimony-Wolf states and hidden coherences in classical light,” Contem. Phys. 56, 407–416 (2015).

[Crossref]

X.-F. Qian, B. Little, J. C. Howell, and J. H. Eberly, “Shifting the quantum-classical boundary: theory and experiment for statistically classical optical fields,” Optica 2, 611–615 (2015).

[Crossref]

X.-F. Qian and J. H. Eberly, “Entanglement and classical polarization states,” Opt. Lett. 36, 4110–4112 (2011).

[Crossref]

J. P. Torres, X.-F. Qian, S. K. Manikandan, A. N. Vamivakas, and J. H. Eberly, “Distinguishability, visibility and quantum entanglement,” (in preparation).

B.-G. Englert, M. O. Scully, and H. Walther, “On mechanisms that enforce complementarity,” J. Mod. Opt. 47, 2213–2220 (2000).

[Crossref]

B.-G. Englert, “Fringe visibility and which-way information: an inequality,” Phys. Rev. Lett. 77, 2154–2157 (1996).

[Crossref]

B.-G. Englert, M. O. Scully, and H. Walther, “Complementarity and uncertainty,” Nature 375, 367–368 (1995).

[Crossref]

B.-G. Englert, M. O. Scully, and H. Walther, “The duality in matter and light,” Sci. Am. 271, 86–92 (1994).

[Crossref]

A. Norrman, K. Blomstedt, T. Setälä, and A. Friberg, “Complementarity and polarization modulation in photon interference,” Phys. Rev. Lett. 119, 040401 (2017).

[Crossref]

H.-Y. Liu, J.-H. Huang, J.-R. Gao, M. S. Zubairy, and S.-Y. Zhu, “Relation between wave-particle duality and quantum uncertainty,” Phys. Rev. A 85, 022106 (2012).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

R. Menzel, D. Puhlmann, A. Heuer, and W. P. Schleich, “Wave-particle dualism and complementarity unraveled by a different mode,” Proc. Natl. Acad. Sci. USA 109, 9314–9319 (2012).

[Crossref]

G. Jaeger, M. A. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

X.-F. Qian, B. Little, J. C. Howell, and J. H. Eberly, “Shifting the quantum-classical boundary: theory and experiment for statistically classical optical fields,” Optica 2, 611–615 (2015).

[Crossref]

H.-Y. Liu, J.-H. Huang, J.-R. Gao, M. S. Zubairy, and S.-Y. Zhu, “Relation between wave-particle duality and quantum uncertainty,” Phys. Rev. A 85, 022106 (2012).

[Crossref]

G. Jaeger, A. Shimony, and L. Vaidman, “Two interferometric complementarities,” Phys. Rev. A 51, 54–67 (1995).

[Crossref]

G. Jaeger, M. A. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).

[Crossref]

M. Jakob and J. A. Bergou, “Quantitative complementarity relations in bipartite systems: entanglement as a physical reality,” Opt. Commun. 283, 827–830 (2010).

[Crossref]

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” Phys. Rev. A 64, 052312 (2001).

[Crossref]

A. F. Abouraddy, K. H. Kagalwala, and B. E. A. Saleh, “Two-point optical coherency matrix tomography,” Opt. Lett. 39, 2411–2414 (2014).

[Crossref]

K. H. Kagalwala, G. DiGiuseppe, A. F. Abouraddy, and B. E. A. Saleh, “Bell’s measure in classical optical coherence,” Nat. Photonics 7, 72–78 (2013).

[Crossref]

P. L. Knight, “Quantum mechanics: where the weirdness comes from,” Nature 395, 12–13 (1998).

[Crossref]

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” Phys. Rev. A 64, 052312 (2001).

[Crossref]

M. Lahiri, “Wave-particle duality and polarization properties of light in single-photon interference experiments,” Phys. Rev. A 83, 045803 (2011).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

H.-Y. Liu, J.-H. Huang, J.-R. Gao, M. S. Zubairy, and S.-Y. Zhu, “Relation between wave-particle duality and quantum uncertainty,” Phys. Rev. A 85, 022106 (2012).

[Crossref]

A. Luis, “Coherence, polarization and entanglement for classical light fields,” Opt. Commun. 282, 3665–3670 (2009).

[Crossref]

X.-F. Qian, T. Malhotra, A. N. Vamivakas, and J. H. Eberly, “Coherence constraints and the last hidden optical coherence,” Phys. Rev. Lett. 117, 153901 (2016).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

J. P. Torres, X.-F. Qian, S. K. Manikandan, A. N. Vamivakas, and J. H. Eberly, “Distinguishability, visibility and quantum entanglement,” (in preparation).

R. Menzel, D. Puhlmann, A. Heuer, and W. P. Schleich, “Wave-particle dualism and complementarity unraveled by a different mode,” Proc. Natl. Acad. Sci. USA 109, 9314–9319 (2012).

[Crossref]

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “On the measurement of qubits,” Phys. Rev. A 64, 052312 (2001).

[Crossref]

D. Murdoch, Niels Bohr’s Philosophy of Physics (Cambridge University, 1987).

S. Dürr, T. Nonn, and G. Rempe, “Origin of quantum-mechanical complementarity probed by a ‘which-way’ experiment in an atom interferometer,” Nature 395, 33–37 (1998).

[Crossref]

S. Dürr, T. Nonn, and G. Rempe, “Fringe visibility and which-way information in an atom interferometer,” Phys. Rev. Lett. 81, 5705–5709 (1998).

[Crossref]

A. Norrman, K. Blomstedt, T. Setälä, and A. Friberg, “Complementarity and polarization modulation in photon interference,” Phys. Rev. Lett. 119, 040401 (2017).

[Crossref]

J. Svozilík, A. Vallés, J. Peřina, and J. P. Torres, “Revealing hidden coherence in partially coherent light,” Phys. Rev. Lett. 115, 220501 (2015).

[Crossref]

A. Streltsov, G. Adesso, and M. B. Plenio, “Colloquium: quantum coherence as a resource,” Rev. Mod. Phys. 89, 041003 (2017).

[Crossref]

T. Baumgratz, M. Cramer, and M. B. Plenio, “Quantifying coherence,” Phys. Rev. Lett. 113, 140401 (2014).

[Crossref]

R. Menzel, D. Puhlmann, A. Heuer, and W. P. Schleich, “Wave-particle dualism and complementarity unraveled by a different mode,” Proc. Natl. Acad. Sci. USA 109, 9314–9319 (2012).

[Crossref]

X.-F. Qian, A. N. Vamivakas, and J. H. Eberly, “Emerging connections, classical and quantum optics,” Opt. Photon. News 28(10), 34–41 (2017).

[Crossref]

J. H. Eberly, X.-F. Qian, and A. N. Vamivakas, “Polarization coherence theorem,” Optica 4, 1113–1114 (2017).

[Crossref]

X.-F. Qian, T. Malhotra, A. N. Vamivakas, and J. H. Eberly, “Coherence constraints and the last hidden optical coherence,” Phys. Rev. Lett. 117, 153901 (2016).

[Crossref]

M. A. Alonso, X.-F. Qian, and J. H. Eberly, “Center-of-mass interpretation for bipartite purity analysis of N-party entanglement,” Phys. Rev. A 94, 030303 (2016).

[Crossref]

J. H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M. A. Alonso, R. Gutiérrez-Cuevas, B. J. Little, J. C. Howell, T. Malhotra, and A. N. Vamivakas, “Quantum and classical optics—emerging links,” Phys. Scripta 91, 063003 (2016).

[Crossref]

X.-F. Qian, B. Little, J. C. Howell, and J. H. Eberly, “Shifting the quantum-classical boundary: theory and experiment for statistically classical optical fields,” Optica 2, 611–615 (2015).

[Crossref]

X.-F. Qian and J. H. Eberly, “Entanglement and classical polarization states,” Opt. Lett. 36, 4110–4112 (2011).

[Crossref]

J. P. Torres, X.-F. Qian, S. K. Manikandan, A. N. Vamivakas, and J. H. Eberly, “Distinguishability, visibility and quantum entanglement,” (in preparation).

S. Dürr, T. Nonn, and G. Rempe, “Fringe visibility and which-way information in an atom interferometer,” Phys. Rev. Lett. 81, 5705–5709 (1998).

[Crossref]

S. Dürr, T. Nonn, and G. Rempe, “Origin of quantum-mechanical complementarity probed by a ‘which-way’ experiment in an atom interferometer,” Nature 395, 33–37 (1998).

[Crossref]

A. F. Abouraddy, K. H. Kagalwala, and B. E. A. Saleh, “Two-point optical coherency matrix tomography,” Opt. Lett. 39, 2411–2414 (2014).

[Crossref]

K. H. Kagalwala, G. DiGiuseppe, A. F. Abouraddy, and B. E. A. Saleh, “Bell’s measure in classical optical coherence,” Nat. Photonics 7, 72–78 (2013).

[Crossref]

R. Menzel, D. Puhlmann, A. Heuer, and W. P. Schleich, “Wave-particle dualism and complementarity unraveled by a different mode,” Proc. Natl. Acad. Sci. USA 109, 9314–9319 (2012).

[Crossref]

B.-G. Englert, M. O. Scully, and H. Walther, “On mechanisms that enforce complementarity,” J. Mod. Opt. 47, 2213–2220 (2000).

[Crossref]

B.-G. Englert, M. O. Scully, and H. Walther, “Complementarity and uncertainty,” Nature 375, 367–368 (1995).

[Crossref]

B.-G. Englert, M. O. Scully, and H. Walther, “The duality in matter and light,” Sci. Am. 271, 86–92 (1994).

[Crossref]

A. Norrman, K. Blomstedt, T. Setälä, and A. Friberg, “Complementarity and polarization modulation in photon interference,” Phys. Rev. Lett. 119, 040401 (2017).

[Crossref]

G. Jaeger, A. Shimony, and L. Vaidman, “Two interferometric complementarities,” Phys. Rev. A 51, 54–67 (1995).

[Crossref]

G. Jaeger, M. A. Horne, and A. Shimony, “Complementarity of one-particle and two-particle interference,” Phys. Rev. A 48, 1023–1027 (1993).

[Crossref]

A. Streltsov, U. Singh, H. S. Dhar, M. N. Bera, and G. Adesso, “Measuring quantum coherence with entanglement,” Phys. Rev. Lett. 115, 020403 (2015).

[Crossref]

R. J. C. Spreeuw, “A classical analogy of entanglement,” Found. Phys. 28, 361–374 (1998), for a very early recognition that entanglement (nonseparability of superpositions of tensor products) also belongs to classical wave theory as well as to quantum physics.

[Crossref]

A. Streltsov, G. Adesso, and M. B. Plenio, “Colloquium: quantum coherence as a resource,” Rev. Mod. Phys. 89, 041003 (2017).

[Crossref]

A. Streltsov, U. Singh, H. S. Dhar, M. N. Bera, and G. Adesso, “Measuring quantum coherence with entanglement,” Phys. Rev. Lett. 115, 020403 (2015).

[Crossref]

J. Svozilík, A. Vallés, J. Peřina, and J. P. Torres, “Revealing hidden coherence in partially coherent light,” Phys. Rev. Lett. 115, 220501 (2015).

[Crossref]

J. Svozilík, A. Vallés, J. Peřina, and J. P. Torres, “Revealing hidden coherence in partially coherent light,” Phys. Rev. Lett. 115, 220501 (2015).

[Crossref]

J. P. Torres, X.-F. Qian, S. K. Manikandan, A. N. Vamivakas, and J. H. Eberly, “Distinguishability, visibility and quantum entanglement,” (in preparation).

G. Jaeger, A. Shimony, and L. Vaidman, “Two interferometric complementarities,” Phys. Rev. A 51, 54–67 (1995).

[Crossref]

J. Svozilík, A. Vallés, J. Peřina, and J. P. Torres, “Revealing hidden coherence in partially coherent light,” Phys. Rev. Lett. 115, 220501 (2015).

[Crossref]

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J. H. Eberly, X.-F. Qian, and A. N. Vamivakas, “Polarization coherence theorem,” Optica 4, 1113–1114 (2017).

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F. de Melo, S. P. Walborn, J. A. Bergou, and L. Davidovich, “Quantum nondemolition circuit for testing bipartite complementarity,” Phys. Rev. Lett. 98, 250501 (2007).

[Crossref]

X.-F. Qian, T. Malhotra, A. N. Vamivakas, and J. H. Eberly, “Coherence constraints and the last hidden optical coherence,” Phys. Rev. Lett. 117, 153901 (2016).

[Crossref]

J. Svozilík, A. Vallés, J. Peřina, and J. P. Torres, “Revealing hidden coherence in partially coherent light,” Phys. Rev. Lett. 115, 220501 (2015).

[Crossref]

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Bohr’s multiply revised and delayed report of his address to an international Physics Congress at Como in 1927 appeared as “The Quantum Postulate and the Recent Development of Atomic Theory,” Nature121, 580–590 (1928). See also Bohr’s book Atomic Theory and the Description of Nature (Cambridge University, 1934), p. 10.

Bohr was not the only one confused or frustrated. This is made clear in Jammer’s account of discussions following Bohr’s address at the Como conference, where he introduced complementarity to attendees including Born, Fermi, Heisenberg, Kramers, Pauli, Rosenfeld, von Neumann, and Wigner. See an overview by M. Jammer in The Conceptual Development of Quantum Mechanics (McGraw-Hill, 1966), p. 354. See also M. Jammer, The Philosophy of Quantum Mechanics (Wiley, 1974).

A. Whitaker, Einstein, Bohr and the Quantum Dilemma, 2nd ed. (Cambridge University, 2006).

D. Murdoch, Niels Bohr’s Philosophy of Physics (Cambridge University, 1987).

The formulation we have followed is closely modeled on Chap. 3 of Theory of Coherence and Polarization of Light, by E. Wolf (Cambridge University, 2007).

J. P. Torres, X.-F. Qian, S. K. Manikandan, A. N. Vamivakas, and J. H. Eberly, “Distinguishability, visibility and quantum entanglement,” (in preparation).