Duality relation between coherence and path information in the presence of quantum memory

Abstract

The wave-particle duality demonstrates a competition relation between wave and particle behavior for a particle going through an interferometer. This duality can be formulated as an inequality, which upper bounds the sum of interference visibility and path information. However, if the particle is entangled with a quantum memory, then the bound may decrease. Here, we find the duality relation between coherence and path information for a particle going through a multipath interferometer in the presence of a quantum memory, offering an upper bound on the duality relation which is directly connected with the amount of entanglement between the particle and the quantum memory.

arXiv comment6 pages, 1 figure, comments are welcome

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Cited by in corpus (8)

• Quantifying quantum coherence and non-classical correlation based on Hellinger distance
• Predictability, Distinguishability and Entanglement
• Coherence and entropy complementarity relations of generalized wave-particle duality
• Quantum Coherence and Path-Distinguishability of Two Entangled Particles
• Triangle-like inequalities related to coherence and entanglement negativity
• Quantifying interference in multipartite quantum systems
• Measure-independent description of wave-particle duality via coherence
• The complementarity relations in a multi-path interferometer with quantum memory