Coherence, Path-Predictability and I-Concurrence: A Triality

Abstract

It is well known that fringe contrast is not a good quantifier of the wave nature of a quanton in multipath interference. A new interference visibility, based on the Hilbert-Schmidt coherence is introduced. It is demonstrated that this visibility is a good quantifier of wave nature, and can be experimentally measured. A generalized path predictability is introduced, which reduces to the predictability of Greenberger and Yasin, for the case of two paths. In a multipath, which-way interference experiment, the new visibility, the predictability and the I-concurrence (quantifying the entanglement between the quanton and the path-detector), are shown to follow a tight triality relation. It quantifies the essential role that entanglement plays in multipath quantum complementarity, for the first time.

8 pages, 1 figure; Revised version

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• An Updated Quantum Complementarity Principle
• Classification and Quantification of Entanglement Through Wedge Product and Geometry
• Geometric genuine multipartite entanglement for four-qubit systems
• Complementarity relations of a delayed-choice quantum eraser in a quantum circuit
• Measure-independent description of wave-particle duality via coherence
• The complementarity relations in a multi-path interferometer with quantum memory
• Concurrence-Driven Path Entanglement in Phase-Modified Interferometry
• Understanding Modified Two-Slit Experiments using Path Markers
• Digital quantum simulation of bosonic systems and quantum complementarity
• 'Complementarity' in paraxial and non-paraxial optical beams