Closed timelike curves and the second law of thermodynamics
Małgorzata Bartkiewicz , Andrzej Grudka , Ryszard Horodecki , Justyna Łodyga , Jacek Wychowaniec
AbstractOne 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.
|Journal series||Physical Review A, ISSN 1050-2947, (N/A 100 pkt)|
|Publication size in sheets||0.5|
|Score||= 100.0, 19-05-2020, ArticleFromJournal|
|Publication indicators||= 1; : 2017 = 0.886; : 2018 = 2.907 (2) - 2018=2.723 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.