Extracting quantum coherence via steering

Abstract

As the precious resource for quantum information processing, quantum coherence can be created remotely if the involved two sites are quantum correlated. It can be expected that the amount of coherence created should depend on the quantity of the shared quantum correlation, which is also a resource. Here, we establish an operational connection between coherence induced by steering and the quantum correlation. We find that the steering-induced coherence quantified by such as relative entropy of coherence and trace-norm of coherence is bounded from above by a known quantum correlation measure defined as the one-side measurement-induced disturbance. The condition that the upper bound saturated by the induced coherence varies for different measures of coherence. The tripartite scenario is also studied and similar conclusion can be obtained. Our results provide the operational connections between local and non-local resources in quantum information processing.

almost published version

References in corpus (19)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Operational Resource Theory of Coherence
• Measuring Quantum Coherence with Entanglement
• Observable measure of quantum coherence in finite dimensional systems
• Converting Coherence to Quantum Correlations
• Intrinsic randomness as a measure of quantum coherence
• Observation of one-way Einstein-Podolsky-Rosen steering
• Frozen Quantum Coherence
• Quantum coherence in multipartite systems
• The general structure of quantum resource theories
• The Fidelity and Trace Norm Distances for Quantifying Coherence
• Assisted distillation of quantum coherence
• Alternative framework for quantifying coherence
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• Quantum steering ellipsoids, extremal physical states and monogamy
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• Effect of Local Channels on Quantum Steering Ellipsoids
• Geometric representation of two-qubit entanglement witnesses
• Maximum privacy without coherence, zero-error

Cited by in corpus (23)

• Quantum Coherence as a Resource
• Quantum coherence and geometric quantum discord
• Genuine quantum coherence
• Relative quantum coherence, incompatibility, and quantum correlations of states
• Towards resource theory of coherence in distributed scenarios
• Hierarchy of the nonlocal advantage of quantum coherence and Bell nonlocality
• Steered quantum coherence as a signature of quantum phase transitions in spin chains
• Nonlocal advantage of quantum coherence in high-dimensional states
• Axiomatic and operational connections between the $l_1$-norm of coherence and negativity
• Maximal steered coherence and its conversion to entanglement in multiple bosonic reservoirs
• Finite-size scaling of coherence and steered coherence in the Lipkin-Meshkov-Glick model
• Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
• Measuring coherence of quantum measurements
• Limits on sequential sharing of nonlocal advantage of quantum coherence
• Quantitative Coherence Witness for Finite Dimensional States
• Of Local Operations and Physical Wires
• Assisted concentration of Gaussian resources
• Partial coherence versus entanglement
• Generation of Coherence via Gaussian Measurements
• Frozen condition of quantum coherence
• State convertibility under genuinely incoherent operations
• Coordinately Assisted Distillation of Quantum Coherence in Multipartite System
• Continuity of measurement outcomes