Incompatibility of quantum channels

Abstract

Two quantum channels are called compatible if they can be obtained as marginals from a single broadcasting channel; otherwise they are incompatible. We derive a characterization of the compatibility relation in terms of concatenation and conjugation, and we show that all pairs of sufficiently noisy quantum channels are compatible. The complement relation of incompatibility can be seen as a unifying aspect for many quantum features. We demonstrate that several phenomena, such as impossibility of universal broadcasting and unavoidable measurement disturbance, appear naturally in this framework.

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Cited by in corpus (21)

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• Simulability of high-dimensional quantum measurements
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• Conditions for the compatibility of channels in general probabilistic theory and their connection to steering and Bell nonlocality
• On the compatibility of quantum instruments
• Incompatibility as a resource for programmable quantum instruments
• Characterizing and quantifying the incompatibility of quantum instruments
• Experimental Communication Through Superposition of Quantum Channels
• Incompatibility of quantum instruments
• Interplay of nonlocality and incompatibility breaking qubit channels
• Noise-disturbance relation and the Galois connection of quantum measurements
• The incompatibility of quantum channels in general probabilistic theories
• Dispensing of quantum information beyond no-broadcasting theorem -- is it possible to broadcast anything genuinely quantum?
• Relating CP divisibility of dynamical maps with compatibility of channels
• Multi-object operational tasks for measurement incompatibility
• A Fisher information-based incompatibility criterion for quantum channels
• A simple formulation of no-cloning and no-hiding that admits efficient and robust verification
• A physical noise model for quantum measurements
• Comparing quantum incompatibility of device sets from an operational perspective
• Infinite dimensionality of the post-processing order of measurements on a general state space
• Postponing the choice: advantage of deferred measurements in quantum information processing