Accessible Coherence and Coherence Distribution

Abstract

The definition of accessible coherence is proposed. Through local measurement on the other subsystem and one way classical communication, a subsystem can access more coherence than the coherence of its density matrix. Based on the local accessible coherence, the part that can not be locally accessed is also studied, which we call it remaining coherence. We study how the bipartite coherence is distributed by partition for both l1 norm coherence and relative entropy coherence, and the expressions for local accessible coherence and remaining coherence are derived. we also study some examples to illustrate the distribution.

References in corpus (6)

• Measuring Quantum Coherence with Entanglement
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Frozen Quantum Coherence
• Entanglement monogamy relations of qubit systems
• Remote Creation of Quantum Coherence
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Cited by in corpus (15)

• The l1 Norm of Coherence of Assistance
• Maximum Relative Entropy of Coherence for Quantum Channels
• Amplifying asymmetry with correlated catalysts
• Correlation-induced coherence and its use in detecting quantum phase transitions
• Resource Theory of Total Quantum Coherence
• Examining the validity of Schatten-$p$-norm-based functionals as coherence measures
• Quantum correlation between a qubit and a relativistic boson in an expanding spacetime
• Characterizing coherence with quantum observables
• Necessity for quantum coherence of nondegeneracy in energy flow
• An alternative framework for quantifying coherence of quantum channels
• Tightening the entropic uncertainty relations with quantum memory in a multipartite scenario
• Analytically Computable Symmetric Quantum Correlations
• Anomalous Heat Transfer in Nonequilibrium Quantum Systems
• Tighter superadditivity relations for $l_1$-norm coherence measure
• Quantum Coherence Bounds the Distributed Discords