Quantum mechanics of time travel through post-selected teleportation
This paper discusses the quantum mechanics of closed-timelike curves (CTCs) and of other potential methods for time travel. We analyze a specific proposal for such quantum time travel, the quantum description of CTCs based on post-selected teleportation (P-CTCs). We compare the theory of P-CTCs to p...
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American Physical Society
2011
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在线阅读: | http://hdl.handle.net/1721.1/66971 |
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author | Maccone, Lorenzo Garcia-Patron Sanchez, Raul Giovannetti, Vittorio Shikano, Yutaka Lloyd, Seth |
author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Maccone, Lorenzo Garcia-Patron Sanchez, Raul Giovannetti, Vittorio Shikano, Yutaka Lloyd, Seth |
author_sort | Maccone, Lorenzo |
collection | MIT |
description | This paper discusses the quantum mechanics of closed-timelike curves (CTCs) and of other potential methods for time travel. We analyze a specific proposal for such quantum time travel, the quantum description of CTCs based on post-selected teleportation (P-CTCs). We compare the theory of P-CTCs to previously proposed quantum theories of time travel: the theory is inequivalent to Deutsch’s theory of CTCs, but it is consistent with path-integral approaches (which are the best suited for analyzing quantum-field theory in curved space-time). We derive the dynamical equations that a chronology-respecting system interacting with a CTC will experience. We discuss the possibility of time travel in the absence of general-relativistic closed-timelike curves, and investigate the implications of P-CTCs for enhancing the power of computation. |
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format | Article |
id | mit-1721.1/66971 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T10:48:40Z |
publishDate | 2011 |
publisher | American Physical Society |
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spelling | mit-1721.1/669712022-09-27T15:09:00Z Quantum mechanics of time travel through post-selected teleportation Maccone, Lorenzo Garcia-Patron Sanchez, Raul Giovannetti, Vittorio Shikano, Yutaka Lloyd, Seth Massachusetts Institute of Technology. Department of Mechanical Engineering W. M. Keck Foundation Center for Extreme Quantum Information Theory Lloyd, Seth Lloyd, Seth This paper discusses the quantum mechanics of closed-timelike curves (CTCs) and of other potential methods for time travel. We analyze a specific proposal for such quantum time travel, the quantum description of CTCs based on post-selected teleportation (P-CTCs). We compare the theory of P-CTCs to previously proposed quantum theories of time travel: the theory is inequivalent to Deutsch’s theory of CTCs, but it is consistent with path-integral approaches (which are the best suited for analyzing quantum-field theory in curved space-time). We derive the dynamical equations that a chronology-respecting system interacting with a CTC will experience. We discuss the possibility of time travel in the absence of general-relativistic closed-timelike curves, and investigate the implications of P-CTCs for enhancing the power of computation. W. M. Keck Foundation Jeffrey Epstein National Science Foundation (U.S.) United States. Office of Naval Research United States. Defense Advanced Research Projects Agency NEC Corporation Fund for Research in Computers and Communications 2011-11-08T20:55:28Z 2011-11-08T20:55:28Z 2011-07 2010-11 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/66971 Lloyd, Seth et al. “Quantum mechanics of time travel through post-selected teleportation.” Physical Review D 84 (2011): n. pag. Web. 8 Nov. 2011. © 2011 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevD.84.025007 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
spellingShingle | Maccone, Lorenzo Garcia-Patron Sanchez, Raul Giovannetti, Vittorio Shikano, Yutaka Lloyd, Seth Quantum mechanics of time travel through post-selected teleportation |
title | Quantum mechanics of time travel through post-selected teleportation |
title_full | Quantum mechanics of time travel through post-selected teleportation |
title_fullStr | Quantum mechanics of time travel through post-selected teleportation |
title_full_unstemmed | Quantum mechanics of time travel through post-selected teleportation |
title_short | Quantum mechanics of time travel through post-selected teleportation |
title_sort | quantum mechanics of time travel through post selected teleportation |
url | http://hdl.handle.net/1721.1/66971 |
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