Unambiguous state discrimination with intrinsic coherence

• URL: http://arxiv.org/abs/2112.12651v1
• Date: Thu, 23 Dec 2021 15:38:56 GMT
• Title: Unambiguous state discrimination with intrinsic coherence
• Authors: Jin-Hua Zhang and Fu-Lin Zhang and Zhi-Xi Wang and Hui Yang and Shao-Ming Fei
• Abstract summary: We investigate the discrimination of pure-mixed (quantum filtering) and mixed-mixed states. We prove that the pure-pure state discrimination scheme is superior to the pure-mixed (mixed-mixed) one.
• Score: 2.686400517710097
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the discrimination of pure-mixed (quantum filtering) and mixed-mixed states and compare their optimal success probability with the one for discriminating other pairs of pure states superposed by the vectors included in the mixed states. We prove that under the equal-fidelity condition, the pure-pure state discrimination scheme is superior to the pure-mixed (mixed-mixed) one. With respect to quantum filtering, the coherence exists only in one pure state and is detrimental to the state discrimination for lower dimensional systems; while it is the opposite for the mixed-mixed case with symmetrically distributed coherence. Making an extension to infinite-dimensional systems, we find that the coherence which is detrimental to state discrimination may become helpful and vice versa.

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