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Maximally coherent states and coherence-preserving operations

2015/11/30 by Yi Peng, Yong Jiang, Heng Fan · 2 citations
Computer Science · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Coherent states #Computer science #Physics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #quant-ph

paper · pdf · doi:10.1103/physreva.93.032326

published as Phys. Rev. A 93, 032326 (2016) · 7 pages, 2 figure, close to published version

openalex publication_date 2016/03/18 · arxiv created 2016/03/20 · arxiv updated 2016/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate maximally coherent states to provide a refinement in quantifying coherence and give a measure-independent definition of the coherence-preserving operations. A maximally coherent state can be considered a resource to create arbitrary quantum states of the same dimension by merely incoherent operations. We propose that only maximally coherent states should achieve the maximal value for a coherence measure and use this condition as an additional criterion for coherence measures to obtain a refinement in quantifying coherence that excludes invalid and inefficient coherence measures. Under this criterion, we then give a measure-independent definition of the coherence-preserving operations, which play a role in quantifying coherence similar to that played by the local unitary operations in the scenario of studying entanglement.

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