Closed timelike curves and the second law of thermodynamics

Małgorzata Bartkiewicz , Andrzej Grudka , Ryszard Horodecki , Justyna Łodyga , Jacek Wychowaniec

Abstract

One out of many emerging implications from solutions of Einstein’s general relativity equations are closed time like curves (CTCs), which are trajectories through space-time that allow for time travel to the past withoutexceeding the speed of light. Two main quantum models of computation with the use of CTCs were introducedby Deutsch (D-CTC) and by Bennett and Schumacher (P-CTC). Unlike the classical theory in which CTCslead to logical paradoxes, the quantum D-CTC model provides a solution that is logically consistent due to the self-consistency condition imposed on the evolving system, whereas the quantum P-CTC model chooses sucha solution through postselection. Both models are nonequivalent and imply nonstandard phenomena in the field of quantum computation and quantum mechanics. In this paper, we study the implications of these two modelson the second law of thermodynamics — the fundamental principle which states that in an isolated system theentropy never decreases. In particular, we construct CTC-based quantum circuits which lead to a decrease inentropy.
Author Małgorzata Bartkiewicz
Małgorzata Bartkiewicz,,
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, Andrzej Grudka
Andrzej Grudka,,
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, Ryszard Horodecki (FMPI / ITPA)
Ryszard Horodecki,,
- Institute of Theoretical Physics and Astrophysics
, Justyna Łodyga
Justyna Łodyga,,
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, Jacek Wychowaniec
Jacek Wychowaniec,,
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Journal seriesPhysical Review A, ISSN 1050-2947, (A 35 pkt)
Issue year2019
Vol99
No2
Pages1-9
Publication size in sheets0.5
Article number022304
ASJC Classification3107 Atomic and Molecular Physics, and Optics
DOIDOI:10.1103/PhysRevA.99.022304
URL https://journals.aps.org/pra/pdf/10.1103/PhysRevA.99.022304
Languageen angielski
Score (nominal)35
ScoreMinisterial score = 35.0, 18-07-2019, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 18-07-2019, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.886; WoS Impact Factor: 2014 = 2.808 (2) - 2014=2.628 (5)
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