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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Main Authors: Maccone, Lorenzo, Garcia-Patron Sanchez, Raul, Giovannetti, Vittorio, Shikano, Yutaka, Lloyd, Seth
其他作者: Massachusetts Institute of Technology. Department of Mechanical Engineering
格式: 文件
语言:en_US
出版: American Physical Society 2011
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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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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