Probabilistic Coherence Transformation Under Strictly Incoherent Operation

Fuente: arXiv
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Autori principali: Liu, Ao-Xiang, Qiao, Cong-Feng
Natura: Preprint
Pubblicazione: 2024
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author Liu, Ao-Xiang
Qiao, Cong-Feng
author_facet Liu, Ao-Xiang
Qiao, Cong-Feng
contents The coherence transformation is pivotal for quantum technologies, which cannot always be accomplished deterministically. We investigate the probabilistic coherence transformation under strictly incoherent operations. To this end, by virtue of majorization lattice, the greedy and thrifty protocols are adapted for the probabilistic coherence transformation, of which the latter exhibits certain superiority in preserving coherence on average. Intuitively, it is found that the large coherence gain can be realized with the price of success probability loss for coherence transformation, and vice versa. Deterministic and probabilistic coherence transformations between two mixed states are explored. As an application, it is shown that the conversion from coherence into entanglement may benefit from probabilistic coherence transformation.
format Preprint
id arxiv_https___arxiv_org_abs_2410_08095
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Probabilistic Coherence Transformation Under Strictly Incoherent Operation
Liu, Ao-Xiang
Qiao, Cong-Feng
Quantum Physics
The coherence transformation is pivotal for quantum technologies, which cannot always be accomplished deterministically. We investigate the probabilistic coherence transformation under strictly incoherent operations. To this end, by virtue of majorization lattice, the greedy and thrifty protocols are adapted for the probabilistic coherence transformation, of which the latter exhibits certain superiority in preserving coherence on average. Intuitively, it is found that the large coherence gain can be realized with the price of success probability loss for coherence transformation, and vice versa. Deterministic and probabilistic coherence transformations between two mixed states are explored. As an application, it is shown that the conversion from coherence into entanglement may benefit from probabilistic coherence transformation.
title Probabilistic Coherence Transformation Under Strictly Incoherent Operation
topic Quantum Physics
url https://arxiv.org/abs/2410.08095