Quantifying Quantumness of Channels Without Entanglement

Quantum channels breaking entanglement, incompatibility, or nonlocality are defined as such because they are not useful for entanglement-based, one-sided device-independent, or device-independent quantum information processing, respectively. Here, we show that such breaking channels are related to c...

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Published in:arXiv.org 2022-12
Main Authors: Huan-Yu Ku, Kadlec, Josef, Černoch, Antonín, Quintino, Marco Túlio, Zhou, Wenbin, Lemr, Karel, Lambert, Neill, Miranowicz, Adam, Shin-Liang, Chen, Nori, Franco, Chen, Yueh-Nan
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Language:English
Subjects:
Breaking
Channels
Correlation
Data processing
Depolarization
Incompatibility
Quantum entanglement
Quantum phenomena
Steering
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creator Huan-Yu Ku
Kadlec, Josef
Černoch, Antonín
Quintino, Marco Túlio
Zhou, Wenbin
Lemr, Karel
Lambert, Neill
Miranowicz, Adam
Shin-Liang, Chen
Nori, Franco
Chen, Yueh-Nan
description Quantum channels breaking entanglement, incompatibility, or nonlocality are defined as such because they are not useful for entanglement-based, one-sided device-independent, or device-independent quantum information processing, respectively. Here, we show that such breaking channels are related to complementary tests of macrorealism i.e., temporal separability, channel unsteerability, temporal unsteerability, and the temporal Bell inequality. To demonstrate this we first define a steerability-breaking channel, which is conceptually similar to entanglement and nonlocality-breaking channels and prove that it is identical to an incompatibility-breaking channel. A hierarchy of quantum non-breaking channels is derived, akin to the existing hierarchy relations for temporal and spatial quantum correlations. We then introduce the concept of channels that break temporal correlations, explain how they are related to the standard breaking channels, and prove the following results: (1) A robustness-based measure for non-entanglement-breaking channels can be probed by temporal nonseparability. (2) A non-steerability-breaking channel can be quantified by channel steering. (3) Temporal steerability and non-macrorealism can be used for, respectively, distinguishing unital steerability-breaking channels and nonlocality-breaking channels for a maximally entangled state. Finally, a two-dimensional depolarizing channel is experimentally implemented as a proof-of-principle example to demonstrate the hierarchy relation of non-breaking channels using temporal quantum correlations
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subjects Breaking
Channels
Correlation
Data processing
Depolarization
Incompatibility
Quantum entanglement
Quantum phenomena
Steering
title Quantifying Quantumness of Channels Without Entanglement
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