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Sharing of nonlocal advantage of quantum coherence by sequential observers

2018/06/26 by S. Datta, Shounak Datta, A. S. Majumdar · 65 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Coherence (philosophical gambling strategy) #Computer science #Discrete mathematics #Mathematics #Observer (physics) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Qubit #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.98.042311

published in Physical Review A 98(4) (American Physical Society) · 7 pages

arxiv created 2018/06/26 · openalex publication_date 2018/10/09 · arxiv updated 2018/10/11 · openalex created_date 2018/10/26 · openalex updated_date 2026/08/05

Abstract

Nonlocal advantage of quantum coherence (NAQC) or steerability of local quantum coherence is a strong nonlocal resource based on coherence complementarity relations. In this work, we provide an upper bound on the number of observers who can independently steer the coherence of the observer in the other wing in a scenario where half of an entangled pair of spin-(1)/(2) particles is shared between a single observer (Bob) in one wing and several observers (Alices) on the other, who can act sequentially and independently of each other. We consider one-parameter dichotomic POVMs for the Alices and mutually unbiased basis in which Bob measures coherence in the case of the maximally entangled bipartite qubit state. We show that not more than two Alices can exhibit NAQC when the l1 norm of coherence measure is probed, whereas for two other measures of coherence, only one Alice can reveal NAQC within the same framework.

Citations