Discrete Quantum Causal Dynamics

作者: Richard F. Blute , Ivan T. Ivanov , Prakash Panangaden

DOI: 10.1023/A:1027335119549

关键词:

摘要: We give a mathematical framework to describe the evolution of open quantum systems subject finitely many interactions with classical apparatuses and each other. The in question may be composed distinct, spatially separated subsystems which evolve independently, but also interact. This evolution, driven both by unitary operators measurements, is coded structure such way that crucial properties causality, covariance, entanglement are faithfully represented. key this scheme use special family spacelike slices—we call them locative—that not so large as result acausal influences enough capture nonlocal correlations.

参考文章(32)
J.-Y. Girard, Linear logic: its syntax and semantics Proceedings of the workshop on Advances in linear logic. pp. 1- 42 ,(1995) , 10.1017/CBO9780511629150.002
Michael Francis Atiyah, The Geometry and Physics of Knots ,(2008)
Jeffrey Bub, Quantum information and computation Nature. ,vol. 404, pp. 247- 255 ,(2000) , 10.1038/35005001
Isaac L. Chuang, Michael A. Nielsen, Quantum Computation and Quantum Information ,(2000)
André Joyal, Ross Street, The geometry of tensor calculus, I Advances in Mathematics. ,vol. 88, pp. 55- 112 ,(1991) , 10.1016/0001-8708(91)90003-P
R. Penrose, M.A.H. MacCallum, Twistor theory: An approach to the quantisation of fields and space-time Physics Reports. ,vol. 6, pp. 241- 315 ,(1973) , 10.1016/0370-1573(73)90008-2
Joachim Lambek, Deductive systems and categories: I. Syntactic Calculus and Residuated Categories Theory of Computing Systems \/ Mathematical Systems Theory. ,vol. 2, pp. 287- 318 ,(1968) , 10.1007/BF01703261
R.F. Blute, J.R.B. Cockett, R.A.G. Seely, Feedback for linearly distributive categories: traces and fixpoints Journal of Pure and Applied Algebra. ,vol. 154, pp. 27- 69 ,(2000) , 10.1016/S0022-4049(99)00180-2
Samson Abramsky, Richard Blute, Prakash Panangaden, Nuclear and trace ideals in tensored-categories Journal of Pure and Applied Algebra. ,vol. 143, pp. 3- 47 ,(1999) , 10.1016/S0022-4049(98)00106-6