Probabilistic Coherence Transformation Under Strictly Incoherent Operation

TL;DR

This paper explores probabilistic coherence transformations in quantum systems under strictly incoherent operations, revealing trade-offs between coherence gain and success probability, and applications to coherence-entanglement conversion.

Contribution

It introduces adapted greedy and thrifty protocols for probabilistic coherence transformation using majorization lattice, highlighting the advantages of the thrifty protocol in coherence preservation.

Findings

Large coherence gain can be achieved with lower success probability.

Thrifty protocol better preserves coherence on average.

Probabilistic transformation enhances coherence-entanglement conversion.

Abstract

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.