Entropy of temporal entanglement

被引:1
作者
Castellani, Leonardo [1 ,2 ,3 ]
机构
[1] Univ Piemonte Orientale, Dipartimento Sci & Innovaz Tecnolog, Viale T Michel 11, I-15121 Alessandria, Italy
[2] INFN, Sez Torino, Via P Giuria 1, I-10125 Turin, Italy
[3] Arnold Regge Ctr, Via P Giuria 1, I-10125 Turin, Italy
关键词
History formulation of quantum mechanics; entanglement entropy; reduced density matrix; temporal correlations; QUANTUM-MECHANICS;
D O I
10.1142/S0219749923500016
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A recently proposed history formalism is used to define temporal entanglement in quantum systems, and compute its entropy. The procedure is based on the time-reduction of the history density operator, and allows a symmetrical treatment of space and time correlations. Temporal entanglement entropy is explicitly calculated in two simple quantum computation circuits.
引用
收藏
页数:14
相关论文
共 31 条
[1]  
[Anonymous], 1965, Quantum Mechanics and Path Integrals
[2]   TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].
BENNETT, CH ;
BRASSARD, G ;
CREPEAU, C ;
JOZSA, R ;
PERES, A ;
WOOTTERS, WK .
PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899
[3]  
Brukner C., ARXIV
[4]  
Castellani L., ARXIV
[5]   No Relation for Wigner's Friend [J].
Castellani, Leonardo .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (06) :2084-2089
[6]   History entanglement entropy [J].
Castellani, Leonardo .
PHYSICA SCRIPTA, 2021, 96 (05)
[7]   History operators in quantum mechanics [J].
Castellani, Leonardo .
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2019, 17 (08)
[8]  
Cotler J., ARXIV
[9]   Superdensity operators for spacetime quantum mechanics [J].
Cotler, Jordan ;
Jian, Chao-Ming ;
Qi, Xiao-Liang ;
Wilczek, Frank .
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (09)
[10]   Experimental test of entangled histories [J].
Cotler, Jordan ;
Duan, Lu-Ming ;
Hou, Pan-Yu ;
Wilczek, Frank ;
Xu, Da ;
Yin, Zhang-Qi ;
Zu, Chong .
ANNALS OF PHYSICS, 2017, 387 :334-347