Quantum mechanics of time travel through post-selected teleportation

被引:69
作者
Lloyd, Seth [1 ]
Maccone, Lorenzo [1 ,2 ]
Garcia-Patron, Raul [1 ]
Giovannetti, Vittorio [3 ,4 ]
Shikano, Yutaka [1 ,5 ]
机构
[1] MIT, xQIT, Cambridge, MA 02139 USA
[2] Univ Pavia, INFN Sez Pavia, I-27100 Pavia, Italy
[3] Scuola Normale Super Pisa, NEST, I-56126 Pisa, Italy
[4] Ist Nanosci CNR, I-56126 Pisa, Italy
[5] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan
关键词
COSMIC STRINGS; CAUCHY-PROBLEM; FIELD THEORY; SPACETIMES; UNITARITY; CURVES; ENTANGLEMENT;
D O I
10.1103/PhysRevD.84.025007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
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页数:11
相关论文
共 66 条
[1]   Quantum computing, postselection, and probabilistic polynomial-time [J].
Aaronson, S .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2063) :3473-3482
[2]  
AARONSON S, ARXIV08082669
[3]  
AARONSON S, ARXIVQUANTPH0412187
[4]   Closed timelike curves make quantum and classical computing equivalent [J].
Aaronson, Scott ;
Watrous, John .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 465 (2102) :631-647
[5]   Nonlinear quantum mechanics implies polynomial-time solution for NP-complete and #P problems [J].
Abrams, DS ;
Lloyd, S .
PHYSICAL REVIEW LETTERS, 1998, 81 (18) :3992-3995
[6]   TIME SYMMETRY IN QUANTUM PROCESS OF MEASUREMENT [J].
AHARONOV, Y ;
BERGMANN, PG ;
LEBOWITZ, JL .
PHYSICAL REVIEW B, 1964, 134 (6B) :1410-&
[7]   HOW THE RESULT OF A MEASUREMENT OF A COMPONENT OF THE SPIN OF A SPIN-1/2 PARTICLE CAN TURN OUT TO BE 100 [J].
AHARONOV, Y ;
ALBERT, DZ ;
VAIDMAN, L .
PHYSICAL REVIEW LETTERS, 1988, 60 (14) :1351-1354
[8]  
AHARONOV Y, 2001, TIME QUANTUM MECH, P399
[9]  
AHARONOV Y, ARXIVQUANTPH0105101
[10]   UNITARITY RESTORATION IN THE PRESENCE OF CLOSED TIME-LIKE CURVES [J].
ANDERSON, A .
PHYSICAL REVIEW D, 1995, 51 (10) :5707-5715