Wave-particle duality relations based on entropic bounds for which-way information
arXiv:2004.13573 · doi:10.1103/PhysRevA.102.022224
Abstract
We present wave-particle duality relations involving the relative entropy coherence measure, which plays a prominent role in the resource theory of coherence. The main input in these relations is an entropic bound for the which-way information, which we derive in this letter. We show that this latter crucially depends on the choice of the measurement strategy to obtain the path information. In particular, we present results for two strategies: zero-error identification of the path-detector states, which never produces an error but sometimes fails to return a conclusive answer, and a mixed strategy where both errors and failure are allowed.
References in corpus (19)
- Quantifying Coherence
- Quantum Coherence as a Resource
- Operational Resource Theory of Coherence
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Unknown Quantum States and Operations, a Bayesian View
- Duality of Quantum Coherence and Path Distinguishability
- Measuring the quality of a quantum reference frame: the relative entropy of frameness
- Relations between coherence and path information
- Optimal discrimination of mixed quantum states involving inconclusive results
- Mixed quantum state detection with inconclusive results
- General Strategies for Discrimination of Quantum States
- Optimal discrimination of quantum states with a fixed rate of inconclusive outcomes
- State discrimination with error margin and its locality
- Duality games and operational duality relations
- Optimal state discrimination with a fixed rate of inconclusive results: Analytical solutions and relation to state discrimination with a fixed error rate
- Discrimination with error margin between two states - Case of general occurrence probabilities -
- Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination
- Exact Identification of a Quantum Change Point
- Unambiguous discrimination of linearly independent pure quantum states: Optimal average probability of success
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- Trace-distance-based complementarity relations in a multipath interferometer