Catalyst-Assisted Probabilistic Coherence Distillation for Mixed States

Abstract

The remarkable phenomenon of catalyst tells us that adding a catalyst could help state transformation. In this paper, we consider the problem of catalyst-assisted probabilistic coherence distillation for mixed states under strictly incoherent operations. To this end, we first present the necessary and sufficient conditions for distilling a target pure coherent state from an initial mixed state via stochastic strictly incoherent operations and the maximal probability of obtaining the target pure state from the initial state. With the help of these results, we present the necessary and sufficient conditions for the existence of a catalyst that increases the maximal transformation probability.

6 pages

References in corpus (4)

• Max- relative entropy of coherence: an operational coherence measure
• Necessary and Sufficient Conditions for the Trumping Relation
• Catalytic Conversion Probabilities for Bipartite Pure States
• Enhancing coherence of a state by stochastic strictly incoherent operations

Cited by in corpus (6)

• Maximal steered coherence and its conversion to entanglement in multiple bosonic reservoirs
• Examining the validity of Schatten-$p$-norm-based functionals as coherence measures
• Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations
• Experimental demonstration of optimal probabilistic enhancement of quantum coherence
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
• Coherence filtration under strictly incoherent operations