A generalization of two-photon interferometry shows local detection probabilities are phase-independent for path-entangled photons, a known effect repackaged as a new principle of 'mutual intolerance'.
Duality of Quantum Coherence and Path Distinguishability
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abstract
We derive a generalized wave-particle duality relation for arbitrary multipath quantum interference phenomena. Beyond the conventional notion of the wave nature of a quantum system, i.e., the interference fringe visibility, we introduce a quantifier as the normalized quantum coherence, recently defined in the framework of quantum information theory. To witness the particle nature, we quantify the path distinguishability or the which-path information based on unambiguous quantum state discrimination. Then, the Bohr complementarity principle for multipath quantum interference can be stated as a duality relation between the quantum coherence and the path distinguishability. For two-path interference, the quantum coherence is identical to the interference fringe visibility, and the relation reduces to the well-known complementarity relation. The duality relation continues to hold in the case where mixedness is introduced due to possible decoherence effects.
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quant-ph 1years
2019 1verdicts
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Generalized rules for coherence transfer from local to global scale
A generalization of two-photon interferometry shows local detection probabilities are phase-independent for path-entangled photons, a known effect repackaged as a new principle of 'mutual intolerance'.