Converting entanglement into ensemble basis-free coherence

• URL: http://arxiv.org/abs/2506.02272v1
• Date: Mon, 02 Jun 2025 21:32:11 GMT
• Title: Converting entanglement into ensemble basis-free coherence
• Authors: Aleksei Kodukhov,
• Abstract summary: Coherence addresses the extent to which quantum properties are present in a given quantum system.<n>Measures of coherence for ensembles of quantum states remain an area of active research.<n>This paper presents two methods for generating ensemble coherence from a fixed amount of entanglement.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The resource theory of coherence addresses the extent to which quantum properties are present in a given quantum system. While coherence has been extensively studied for individual quantum states, measures of coherence for ensembles of quantum states remain an area of active research. The entanglement-based approach to ensemble coherence - where a partial measurement of an entangled state generates an ensemble - relates the ensemble coherence to both the initial entanglement and the measurement's uncertainty. This paper presents two methods for generating ensemble coherence from a fixed amount of entanglement. The first method involves applying a von Neumann measurement to one part of a non-maximally entangled bipartite state, resulting in a pair of non-orthogonal states whose coherence can equal the initial entanglement. The second method considers a class of symmetric observables capable of generating ensembles used in quantum key distribution (QKD) protocols such as B92, BB84, and three-state QKD. As a result, this work contributes to understanding how much ensemble coherence can be obtained from a given amount of entanglement.

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