Incompatibility breaking quantum channels

Abstract

A typical bipartite quantum protocol, such as EPR-steering, relies on two quantum features, entanglement of states and incompatibility of measurements. Noise can delete both of these quantum features. In this work we study the behavior of incompatibility under noisy quantum channels. The starting point for our investigation is the observation that compatible measurements cannot become incompatible by the action of any channel. We focus our attention to channels which completely destroy the incompatibility of various relevant sets of measurements. We call such channels incompatibility breaking, in analogy to the concept of entanglement breaking channels. This notion is relevant especially for the understanding of noise-robustness of the local measurement resources for steering.

new references added in v2

References in corpus (14)

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Cited by in corpus (49)

• Quantum steering: a review with focus on semidefinite programming
• An Invitation to Quantum Incompatibility
• Quantatitive relations between measurement incompatibility, quantum steering, and nonlocality
• Incompatibility robustness of quantum measurements: a unified framework
• Incompatibility of quantum channels
• Continuous variable steering and incompatibility via state-channel duality
• Quantifying Quantumness of Channels Without Entanglement
• Adaptive strategy for joint measurements
• The geometry of the Einstein--Podolsky--Rosen correlations
• Quantification of quantum dynamics with input-output games
• Incompatible quantum measurements admitting a local hidden variable model
• Quantum marginal problem and incompatibility
• Distributed sampling, quantum communication witnesses, and measurement incompatibility
• Unsharpness of generalized measurement and its effects in entropic uncertainty relations
• Exact Steering Bound for Two-Qubit Werner States
• Quantifying the incompatibility of quantum measurements relative to a basis
• Breaking Gaussian incompatibility on continuous variable quantum systems
• Estimating Quantum Hamiltonians via Joint Measurements of Noisy Non-Commuting Observables
• Quantum Incompatibility of a Physical Context
• Unlimited One-Way Steering
• Incompatibility as a resource for programmable quantum instruments
• Verification of Continuous-Variable Quantum Memories
• Improvement in quantum communication using quantum switch
• Incompatibility in restricted operational theories: connecting contextuality and steering
• Amount of quantum coherence needed for measurement incompatibility
• Higher-dimensional entanglement detection and quantum channel characterization using moments of generalized positive maps
• Dynamics of incompatibility of quantum measurements in open systems
• Equivalence between simulability of high-dimensional measurements and high-dimensional steering
• Distance-based resource quantification for sets of quantum measurements
• Geometry on the manifold of Gaussian quantum channels
• Quantum Resource Control for noisy EPR-steering with qubit measurements
• Entropic Uncertainty Relations via Direct-Sum Majorization Relation for Generalized Measurements
• Interplay of nonlocality and incompatibility breaking qubit channels
• Relating compatibility and divisibility of quantum channels
• Verification of joint measurability using phase-space quasiprobability distributions
• Quantum incompatibility from the viewpoint of entanglement theory
• Joint-measurability and quantum communication with untrusted devices
• Testing incompatibility of quantum devices with few states
• N term pairwise correlation inequalities, steering and joint measurability
• Uncertainty Relations Relative to Phase-Space Quantum Reference Frames
• Diagnosing steerability of a bipartite state with the nonsteering threshold
• A Fisher information-based incompatibility criterion for quantum channels
• Cost of Simulating Entanglement in Steering Scenario
• Fidelity of entanglement and quantum entropies: unveiling their relationship in quantum states and channels
• Certifying the dimensionality of any quantum channel with minimal assumptions
• Entropic Approach to Error-Disturbance Tradeoff in Quantum Measurements
• A Note on Hierarchy of Quantum Measurement Incompatibilities
• Detection of nonabsolute separability in quantum states and channels through moments
• On the characterization of partially entanglement breaking and annihilating channels