Enhancing coherence of a state by stochastic strictly incoherent operations

Abstract

In this paper, we address the issue of enhancing coherence of a state under stochastic strictly incoherent operations. Based on the $l_1$ norm of coherence, we obtain the maximal value of coherence that can be achieved for a state undergoing a stochastic strictly incoherent operation and the maximal probability of obtaining the maximal coherence. Our findings indicate that a pure state can be transformed into a maximally coherent state under a stochastic strictly incoherent operation if and only if all the components of the pure state are nonzero while a mixed state can never be transformed into a maximally coherent state under a stochastic strictly incoherent operation.

7 pages

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• Examining the validity of Schatten-$p$-norm-based functionals as coherence measures
• Based-nonequilibrium-environment non-Markovianity, quantum Fisher information and quantum coherence
• Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations
• Approximate distillation of quantum coherence
• Criterion for a state to be distillable via stochastic incoherent operations
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
• Coherence filtration under strictly incoherent operations
• Closed expressions for one-qubit states of convex roof coherence measures
• Coherent preorder of quantum states