Year: 2022
Type: article
Abstract: 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 nonbreaking 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-entanglementbreaking channels can be probed by temporal nonseparability.(2) A non-steerability-breaking channel can be quantified by channel steering.(3) Temporal steerability and nonmacrorealism 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 nonbreaking channels using temporal quantum correlations.
Source: PRX Quantum
Institutions: RIKEN, National Cheng Kung University, Palacký University Olomouc, FZU - Institute of Physics of the Czech Academy of Sciences, University of Vienna, Austrian Academy of Sciences, Vienna Center for Quantum Science and Technology, Nagoya University, Adam Mickiewicz University in Poznań, National Chung Hsing University, Freie Universität Berlin, University of Michigan, RIKEN Center for Quantum Computing
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,450
Funders: Ministry of Science and Technology, National Center for Theoretical Sciences, Foundational Questions Institute, Asian Office of Aerospace Research and Development, European Commission, Grantová Agentura České Republiky, Austrian Science Fund, Narodowe Centrum Nauki, Ministry of Science and Technology, Taiwan, Univerzita Palackého v Olomouci, Bundesministerium für Bildung, Wissenschaft und Forschung, Japan Society for the Promotion of Science, Japan Science and Technology Agency, Precursory Research for Embryonic Science and Technology, Moonshot Research and Development Program, Army Research Office
Awards: G1064757669, G1429566569, G185954890, G2153772139, G2205640134, G2279853913, G2361730646, G2441868293, ESQ-FP: Erwin Schrödinger Quantum Science Programme, G2490340067, G3090458625, G3404070347, G3512592488, G3692382436, G3862009559, G3984144614, G406660488, G434337789, Quantum optics in quantum hybrid systems, G4431689136, Quantum communications using a teleportation-based quantum network, G5194889490, G5473779960, 誤り耐性型量子コンピュータにおける理論・ソフトウェアの研究開発, Quantum Advantages with Light and Atoms( I ), G6483027378, 光合成における量子環境, G7452299184, G7904985311, G829024074, G8415477955, G8587064069, G8883783173
OpenAlex ID: W4280628395