Speed and entropy of an interacting continuous time quantum walk

Journal of Physics A: Mathematical and General

Volumn 39, Issue 20, 2006, Pages 5873-5895

  De Falco, Diego ^a   Tamascelli, Dario ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646394881     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/20/016     Document Type: Article

References (31)

1. Albanese C, Christandl M, Datta N and Ekert A 2004 Mirror inversion of quantum states in linear registers Phys. Rev. Lett. 32 230502
2. Apolloni B and de Falco D 2002 The clock of a quantum computer J. Phys. A: Math. Gen. 35 10033-51
3. Bertoni A, Bordone P, Brunetti R, Jacoboni C and Reggiani S 2000 Quantum logic gates based on coherent electron transport in quantum wires Phys. Rev. Lett. 84 5912-5
4. Burkard G 2004 The theory of solid state quantum information processes Preprint cond-mat/0409626
5. Childs A, Farhi E and Gutmann S 2002 An example of the difference between quantum and classical random walks Quantum Inf. Process. 1 35-43
6. Childs A and Goldstone J 2004 Spatial search and the Dirac equation Phys. Rev. A 70 042312
7. Christandl M, Datta N, Dorlas T C, Ekert A, Kay A and Landahl A J 2005 Perfect transfer of arbitrary states in quantum spin networks Phys. Rev. A 71 032312
8. de Falco D and Tamascelli D 2004 Grover's algorithm on a Feynman computer J. Phys. A: Math. Gen. 37 909-30
9. Deutsch D and Jozsa R 1992 Rapid solution of problems by quantum computation Proc. R. Soc. A 439 553-8
10. Feynman R P 1986 Quantum mechanical computers Found. Phys. 16 507-31
11. Feynman R P and Hibbs A R 1965 Quantum Mechanics and Path Integrals (New York: McGraw-Hill)
12. Gambini R, Porto R A and Pullin J 2004 Realistic clocks, universal decoherence and the black hole information paradox Phys. Rev. Lett. 93 240401
13. Gambini R, Porto R A and Pullin J 2004 A relational solution of the problem of time in quantum mechanics and quantum gravity induces a fundamental mechanism for quantum decoherence New J. Phys. 6 45
14. Gorini V, Kossakowski A and Sudarshan E 1976 Completely positive dynamical semigroups of n-level systems J. Math. Phys. 17 821-5
15. Grover L 1996 A fast quantum-mechanical algorithm for database search Proc. 28th Annual ACM Symposium on the Theory of Computing (New York: ACM)
16. Grover L 2001 From Schrödinger equation to the quantum search algorithm Am. J. Phys. 69 769-77
17. Ionicioiu R, Amaratunga G and Udrea F 2001 Quantum computation with ballistic electrons Int. J. Mod. Phys. B 15 125
18. Jozsa R 1999 Searching in Grover's algorithm Preprint quant-ph/9901021
19. Lieb E, Schultz T and Mattis D 1961 Two soluble models of an antiferromagnetic chain Ann. Phys. 16 407
20. Lindblad G 1976 On the generators of quantum dynamical semigroups Commun. Math. Phys. 48 119-30
21. Lüscher M 1976 Dynamical changes in the quantized renormalized Thirring model Nucl. Phys. B 117 475-92
22. Luther A 1976 Eigenvalue spectrum of interacting massive fermions in one dimension Phys. Rev. B 14 2153-2159
23. Milburn G J 1991 Intrinsic decoherence in quantum mechanics Phys. Rev. A 44 5401-5406
24. Osborne T J 2004 Statics and dynamics of a quantum XY and Heisenberg system on graphs Preprint quant-ph/0312126 v2
25. Peres A 1985 Reversible logic and quantum computers Phys. Rev. A 32 3266-76
26. Peres A 1993 Quantum Theory, Concepts and Methods (Dordrecht: Kluwer) p 123
27. Salecker H and Wigner E 1958 Quantum limitations of the measurement of space-time distances Phys. Rev. 109 571-7
28. Strauch F 2005 Relativistic quantum walks Preprint quant-ph/0508096
29. Susskind L 1977 Lattice fermions Phys. Rev. D 16 3031-39
30. Verstraete F and Cirac J 2005 Mapping local Hamiltonians of fermions to local Hamiltonian of spins J. Stat. Mech. stacks.iop.org/JSTAT/2005/09/P09012
31. Wolfram Research Bessel, Airy, Struve Functions (2,462 formulas) http://functions.wolfram.com