Multipartite subspaces containing no locally inaccessible information

Croke, S. (2022) Multipartite subspaces containing no locally inaccessible information. Physical Review A: Atomic, Molecular and Optical Physics, 106(3), 032421. (doi: 10.1103/PhysRevA.106.032421)

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Abstract

One notion of nonlocality in quantum theory is the fact that information may be encoded in a composite system in such a way that it is not accessible through local measurements, even with the assistance of classical communication. Thus, contrary to the classical case, there exists information in quantum many-body systems which cannot be accessed locally. We show, however, that, remarkably, two-dimensional subspaces do not have this property: Any physically allowed measurement on information encoded in any two-dimensional subspace, regardless of entanglement or multipartite structure, may be performed locally. Further, this requires only local measurement and feed-forward of classical information, readily achievable in many experimental platforms. As an application to quantum secret sharing we suggest a twist on a well-known quantum information splitting protocol, which ensures that no receiving party ever has access to the full state sent, but parties must work together to perform measurements on the state. These results may have practical applications to the measurement of encoded qubits in, e.g., quantum secret sharing, quantum error correction, and reveal a fundamental property unique to two-dimensional subspaces.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Croke, Dr Sarah
Authors: Croke, S.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN:1050-2947
ISSN (Online):1094-1622
Published Online:15 September 2022
Copyright Holders:Copyright © 2022 American Physical Society
First Published:First published in Physical Review A: Atomic, Molecular and Optical Physics 106(3): 032421
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
309544Exploring Wigner's theorem: Observable quantities and symmetry transformations from the perspective of quantum reference frames.Sarah CrokeLeverhulme Trust (LEVERHUL)RF-2020-397\9P&S - Physics & Astronomy