Noisy quantum Parrondo games

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5111, Issue , 2003, Pages 344-350

  Meyer, David A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Decoherence; Quantum lattice gas automata; Quantum random walk; Quantum ratchet

Indexed keywords

APPROXIMATION THEORY; CORRELATION THEORY; GAME THEORY; MATHEMATICAL MODELS; RANDOM PROCESSES;

QUANTUM LATTICE GAS AUTOMATA; QUANTUM PARRONDO GAMES; QUANTUM RANDOM WALK; QUANTUM RATCHET;

QUANTUM THEORY;

EID: 0041324583     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.497095     Document Type: Conference Paper

References (18)

1. J. M. R. Parrondo, "Parrondo's paradoxical games", http://seneca.fis.ucm.es/parr/GAMES.
2. G. P. Harmer and D. Abbott, "Parrondo's paradox", Stat. Science 14 (1999) 206-213
3. G. P. Harmer and D. Abbott, "Losing strategies can win by Parrondo's paradox", Nature 402 (1999) 864.
4. D. A. Meyer and H. Blumer, "Parrondo games as lattice gas automata", quant-ph/0110028; J. Statist. Phys. 107 (2002) 225-239.
5. D. A. Meyer, "Quantum strategies", quant-ph/9804010; Phys. Rev. Lett. 82 (1999) 1052-1055.
6. P. Reimann, M. Grifoni and P. Hänggi, "Quantum ratchets", Phys. Rev. Lett. 79 (1997) 10-13.
7. S. Yukawa, M. Kikuchi, G. Tatara and H. Matsukawa, "Quantum ratchets", cond-mat/9706222; J. Phys. Soc. Jpn. 66 (1997) 2953-2956.
8. D. A. Meyer, "From quantum cellular automata to quantum lattice gases", quant-ph/9604003; J. Statist. Phys. 85 (1996) 551-574.
9. D. A. Meyer and H. Blumer, "Quantum Parrondo games: biased and unbiased", Fluctuation Noise Lett. 2 (2002) L257-L262.
10. For a comprehensive review of the subject, see P. Reimann, "Brownian motors: noisy transport far from equilibrium", cond-mat/0010237; Phys. Rep. 361 (2002) 57-265.
11. For a relatively current presentation of quantum computing, see M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge: Cambridge University Press 2000).
12. D. A. Meyer, "Quantum mechanics of lattice gas automata: One particle plane waves and potentials", quant-ph/9611005; Phys. Rev. E 55 (1997) 5261-5269.
13. V. Kendon and B. Tregenna, "Decoherence in discrete quantum walks", quant-ph/0301182.
14. T. Brun, H. Carteret and A. Ambainis, "The quantum to classical transition for random walks", quant-ph/0208195
15. T. Brun, H. Carteret and A. Ambainis, "Quantum random walks with decoherent coins", quant-ph/0210180; Phys. Rev. A 67 (2003) 032304/1-9.
16. R. P. Feynman and F. L. Vernon, Jr., "The theory of a general quantum system interacting with a linear dissipative system", Ann. Phys. 24 (1963) 118-173.
17. A. O. Caldeira and A. J. Leggett, "Quantum tunnelling in a dissipative system", Ann. Phys. 149 (1983) 374-456.
18. D. Gottesman, A. Kitaev and J. Preskill, "Encoding a qubit in an oscillator", Phys. Rev. A 64 012310/1-21.