Evolution in quantum causal histories

Classical and Quantum Gravity

Volumn 20, Issue 16, 2003, Pages 3839-3854

  Hawkins, Eli ^a   Markopoulou, Fotini ^b,c   Sahlmann, Hanno ^d  

^a SISSA   (Italy)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c UNIVERSITY OF WATERLOO   (Canada)

^d PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242266977     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/20/16/320     Document Type: Article

References (22)

1. Baez J 2000 An introduction to spin foam models of quantum gravity and BF theory Lect. Notes Phys. 543 pp 25-94 (Preprint gr-qc/9905087)
2. Banks T and Fischler W 2001 M-theory observables for cosmological space-times Preprint hep-th/0102077
3. Buchholz D 2001 Algebraic quantum field theory: a status report XIII Int. Cong. Math. Phys. (London, 2000) ed A Grigoryan et al (Boston, MA: Int. Press) pp 31-45 (Preprint math-ph/0011044)
4. Caldeira A O and Leggett A J 1983 Quantum tunnelling in a dissipative system Am. Phys., NY 149 374
5. Choi M-D 1975 Completely positive linear maps on complex matrices Linear Algebr. Appl. 10 285
6. Gupta S 2000 Causality in spin foam models Phys. Rev. D 61 064014 (Preprint gr-qc/9908018)
7. Haag R 1992 Local Quantum Physics (Berlin: Springer)
8. Lance E C 1995 Hilbert C*-Modules. A Toolkit for Operator Algebraists (Cambridge: Cambridge University Press)
9. Livine E R and Oriti D 2002 Implementing causality in the spin foam quantum geometry Preprint gr-qc/0210064
10. Lindblad G 1976 On the generators of quantum mechanical semigroups Commun. Math. Phys. 48 119-30
11. Markopoulou F 1997 Dual formulation of spin network evolution Preprint gr-qc/9704013
12. Markopoulou F 2000 Quantum causal histories Class. Quantum Grav. 17 2059-72 (Preprint hep-th/9904009)
13. Markopoulou F 2003 Planck-scale models of the universe Science & Ultimate Reality: Quantum Theory, Cosmology and Compexited J D Barrow, P C W Davies and C L Harper (Cambridge: Cambridge University Press) Preprint gr-qc/0210086
14. Markopoulou F and Smolin L 1997 Causal evolution of spin networks Nucl. Phys. B 508 409-30 (Preprint gr-qc/9702025)
15. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
16. Oriti D 2001 Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity Rep. Prog. Phys. 64 1489-544 (Preprint gr-qc/0106091)
17. Perez A 2003 Spin foam models for quantum gravity Class. Quantum Grav. 20 R43 (Preprint gr-qc/0301113)
18. Schumacher B 1996 Sending quantum entanglement through noisy channels Phys. Rev. A 54 2614 (Preprint quant-ph/9604023)
19. Terhal B M, Chuang I L, DiVincenzo D P, Grassl M and Smolin J A 1999 Simulating quantum operations with mixed environments Phys. Rev. A 60 881 (Preprint quant-ph/9806095)
20. Zurek W H 1991 Decoherence and the transition from quantum to classical Phys. Today 44 10 36-44
21. Blute R, Ivanov I T and Panangaden P 2001 Discrete quantum causal dynamics (Preprint gr-qc/0109053)
22. Blute R, Ivanov I T and Panangaden P 2001 Decoherent histories on graphs (Preprint gr-qc/0111020)