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Article: Complete extension: the non-signaling analog of quantum purification
Title | Complete extension: the non-signaling analog of quantum purification |
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Authors | |
Issue Date | 3-Nov-2023 |
Publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
Citation | Quantum, 2023, v. 7, p. 1-71 How to Cite? |
Abstract | Deriving quantum mechanics from information-theoretic postulates is a recent research direction taken, in part, with the view of finding a beyond-quantum theory; once the postulates are clear, we can consider modifications to them. A key postulate is the purification postulate, which we propose to replace by a more generally applicable postulate that we call the complete extension postulate (CEP), i.e., the existence of an extension of a physical system from which one can generate any other extension. This new concept leads to a plethora of open questions and research directions in the study of general theories satisfying the CEP (which may include a theory that hyper-decoheres to quantum theory). For example, we show that the CEP implies the impossibility of bit-commitment. This is exemplified by a case study of the theory of non-signalling behaviors which we show satisfies the CEP. We moreover show that in certain cases the complete extension will not be pure, highlighting the key divergence from the purification postulate. |
Persistent Identifier | http://hdl.handle.net/10722/339109 |
ISSN | 2023 Impact Factor: 5.1 2023 SCImago Journal Rankings: 2.562 |
DC Field | Value | Language |
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dc.contributor.author | Winczewski, Marek | - |
dc.contributor.author | Das, Tamoghna | - |
dc.contributor.author | Selby, John H | - |
dc.contributor.author | Horodecki, Karol | - |
dc.contributor.author | Horodecki, Paweł | - |
dc.contributor.author | Pankowski, Łukasz | - |
dc.contributor.author | Piani, Marco | - |
dc.contributor.author | Ramanathan, Ravishankar | - |
dc.date.accessioned | 2024-03-11T10:33:57Z | - |
dc.date.available | 2024-03-11T10:33:57Z | - |
dc.date.issued | 2023-11-03 | - |
dc.identifier.citation | Quantum, 2023, v. 7, p. 1-71 | - |
dc.identifier.issn | 2521-327X | - |
dc.identifier.uri | http://hdl.handle.net/10722/339109 | - |
dc.description.abstract | <p>Deriving quantum mechanics from information-theoretic postulates is a recent research direction taken, in part, with the view of finding a beyond-quantum theory; once the postulates are clear, we can consider modifications to them. A key postulate is the purification postulate, which we propose to replace by a more generally applicable postulate that we call the complete extension postulate (CEP), i.e., the existence of an extension of a physical system from which one can generate any other extension. This new concept leads to a plethora of open questions and research directions in the study of general theories satisfying the CEP (which may include a theory that hyper-decoheres to quantum theory). For example, we show that the CEP implies the impossibility of bit-commitment. This is exemplified by a case study of the theory of non-signalling behaviors which we show satisfies the CEP. We moreover show that in certain cases the complete extension will not be pure, highlighting the key divergence from the purification postulate.<br></p> | - |
dc.language | eng | - |
dc.publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften | - |
dc.relation.ispartof | Quantum | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.title | Complete extension: the non-signaling analog of quantum purification | - |
dc.type | Article | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.22331/q-2023-11-03-1159 | - |
dc.identifier.volume | 7 | - |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 71 | - |
dc.identifier.eissn | 2521-327X | - |
dc.identifier.issnl | 2521-327X | - |