Quantum error precompensation for quantum noisy channels

Zhang, C; Li, L; Lu, G; Yuan, H; Duan, R

Quantum error precompensation for quantum noisy channels

Zhang, C Li, L Lu, G Yuan, H Duan, R

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Publisher:: American Physical Society (APS)
Publication Type:: Journal Article
Citation:: Physical Review A, 2022, 106, (4), pp. 042440
Issue Date:: 2022-10-01

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Field	Value	Language
dc.contributor.author	Zhang, C
dc.contributor.author	Li, L
dc.contributor.author	Lu, G
dc.contributor.author	Yuan, H
dc.contributor.author	Duan, R https://orcid.org/0000-0002-4388-7487
dc.date.accessioned	2023-02-27T04:27:18Z
dc.date.available	2023-02-27T04:27:18Z
dc.date.issued	2022-10-01
dc.identifier.citation	Physical Review A, 2022, 106, (4), pp. 042440
dc.identifier.issn	2469-9926
dc.identifier.issn	2469-9934
dc.identifier.uri	http://hdl.handle.net/10453/166444
dc.description.abstract	Most previous efforts on quantum error correction focused on either extending classical error-correction schemes to the quantum regime by performing a perfect correction on a subset of errors or seeking a recovery operation to maximize the fidelity between an input state and its corresponding output state of a noisy channel. There are few results concerning quantum error precompensation. Here we design an error-precompensated input state for an arbitrary quantum noisy channel and a given target output state. By following a procedure, the required input state, if it exists, can be analytically obtained in single-partite systems. Furthermore, we also present semidefinite programs to numerically obtain the error-precompensated input states with maximal fidelities between the target state and the output state. The numerical results coincide with the analytical results.
dc.language	en
dc.publisher	American Physical Society (APS)
dc.relation.ispartof	Physical Review A
dc.relation.isbasedon	10.1103/PhysRevA.106.042440
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences, 03 Chemical Sciences
dc.subject.classification	General Physics
dc.title	Quantum error precompensation for quantum noisy channels
dc.type	Journal Article
utslib.citation.volume	106
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
utslib.for	03 Chemical Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	closed_access	*
dc.date.updated	2023-02-27T04:27:17Z
pubs.issue	4
pubs.publication-status	Published
pubs.volume	106
utslib.citation.issue	4

Abstract:

Most previous efforts on quantum error correction focused on either extending classical error-correction schemes to the quantum regime by performing a perfect correction on a subset of errors or seeking a recovery operation to maximize the fidelity between an input state and its corresponding output state of a noisy channel. There are few results concerning quantum error precompensation. Here we design an error-precompensated input state for an arbitrary quantum noisy channel and a given target output state. By following a procedure, the required input state, if it exists, can be analytically obtained in single-partite systems. Furthermore, we also present semidefinite programs to numerically obtain the error-precompensated input states with maximal fidelities between the target state and the output state. The numerical results coincide with the analytical results.

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http://hdl.handle.net/10453/166444