Adrian Flitney's research on quantum information

Publications

Quantum Information

Refereed Journals

· A. P. Flitney ,
" Comments on `reverse auction: the lowest unique positive integer game'", Fluct. Noise Lett. 8 (2008) C1-4
is a comment on Q. Zeng et al., Fluct. Noise Lett. 7 (2007) L439-47 showing that their rational player solution for the lowest unique positive integer game is not a Nash equilibrium (NE), and giving exact NE for 3- and 4-players, and approximate NE for an arbitrary number of players.
LANL abstract: math.CO/0801.1535

· A. P. Flitney and L. C. L. Hollenberg,
" Nash equilibria in quantum games with generalized two parameter strategies", Phys. Lett. A 363 (2007) 381-388
considers two player quantum games in the Eisert protocol, showing that the new Nash equilibria and quantum-classical transitions that can result from restricting the strategy space to a two-parameter set are artifacts of the particular strategy set chosen and do not necessarily say anything about the underlying game.
LANL abstract: quant-ph/0610084

· A. P. Flitney and A. D. Greentree,
" Coalitions in the quantum Minority game: classical cheats and quantum bullies", Phys. Lett. A 362 (2007) 132-137
considers a modified form of the multiplayer quantum Minority games where a subset of players form a coalition either by using classical communication ("classical cheats") or by sharing a multi-partite entangled state ("quantum bullies"); explores the advantage of multi-partite entanglement over classical communication in various circumstances in the game.
LANL abstract: quant-ph/0608096

· A. P. Flitney and L. C. L. Hollenberg,
" Multiplayer quantum Minority game with decoherence", Quant. Inform. Comput. 7 (2007) 111-126
extention of "Decoherence in quantum games." Considers the effect of various forms of decoherence on the multiplayer quantum Minority game. Extended and updated version of the conference paper with the same title.
LANL abstract: quant-ph/0510108

· A. P. Flitney and D. Abbott,
" Quantum games with decoherence", J. Phys. A 38 (2005) 449-59
considers decoherence in quantum games, in particular 2x2 games. Rigorous version of "Decoherence in quantum games."
LANL abstract: quant-ph/0408070

· A. P. Flitney , D. Abbott and N. F. Johnson,
" Quantum walks with history dependence", J. Phys. A 37 (2004) 7581-7591
considers a multi-coin quantum random walk with history dependence, showing a quantum Parrondo effect.
LANL abstract: quant-ph/0311009

· A. P. Flitney and D. Abbott,
"Quantum two and three person duels", J. Optics B 6 (2004) S860-S866
is a quantum analogy to two, three and multi-player duels. Rigorous version of "Quantum duels and truels."
LANL abstract: quant-ph/0305058 (v3)

· A. P. Flitney and D. Abbott,
"Quantum models of Parrondo's games", Physica A 324 (2003) 152-156
is a brief review of quantum versions of Parrondo’s paradox.

· A. P. Flitney and D. Abbott,
" Advantage of a quantum player against a classical one in 2x2 quantum games",
Proc. Royal Soc. Lond. A 459 (2003) 2463-2474
gives the `miracle' moves by which a quantum player can maximize their payoffs against any classical strategy for various 2x2 games, concentrating in particular on the game of Chicken. Considers the effect of changes in the degree of entanglement.
LANL abstract: quant-ph/0209121
See errata for corrections of minor errors in the published version of this paper.

· A. P. Flitney and D. Abbott,
"An introduction to quantum game theory", Fluct. Noise Lett. 2 (2002) R175-R187
is a basic introduction to quantum game theory and a review of existing (mid-2002) work in the area.
LANL abstract: quant-ph/0208069

· A. P. Flitney, J. Ng and D. Abbott,
"Quantum Parrondo's games", Physica A 314 (2002) 35-42
is a quantum version of a history dependent Parrondo's game.
Cited in Physics World (October 2002).
LANL abstract: quant-ph/0201037

· A. P. Flitney and D. Abbott,
"Quantum version of the Monty Hall problem", Phys. Rev. A 65 (2002) 062318
is a quantization of the game show situation known as the Monty Hall problem.
Cited in popular articles on quantum game theory in New Scientist (January 5th, 2002) and The Dallas Morning News (January 28th, 2003).
Virtual Journal of Quantum Information 2 (2002) June
LANL abstract: quant-ph/0109035

Book Chapters

· A. P. Flitney
"Review of quantum games",
to be published in Game Theory: Strategies, Equilibria, and Theorems (Nova Scientfic)
is a recent (2008) review of the state of play in quantum games.

· A. P. Flitney and D. Abbott,
"A semi-quantum version of the game of Life",
Ninth International Symposium on Dynamic Games and Applications, December 18-21, 2000, Adelaide, in Advances in Dynamic Games: Applications to Economics, Finance, Optimization, and Stochastic Control, eds. Andrzej S. Nowack and Krzysztof Szajowski, Chapter 35, pp. 649-661 (Boston: Birkhauser, 2004) is an attempt to make a version of John Conway's game of Life that has some quantum features. A version fully consistent with quantum mechanics would be much harder!
LANL abstract: quant-ph/0208149

Conference Proceedings

· A. P. Flitney and L. C. L. Hollenberg,
" Quantum Minority game utilizing various forms of entanglement",
delivered to SPIE Symposium on Microelectronics, MEMS, and Nanotechnology, Canberra, ACT, Australia, Dec. 4-7, 2007
discusses quantum versions of the Minority game with an initial state that is a combination of a GHZ state and products of EPR pairs.

· A. P. Flitney,
"Quantum Games",
delivered to Symposium on Quantum Technologies, Cambridge, UK, 29th Aug-3rd Sep 2006
is an overview of research into quantum game theory.

· A. P. Flitney,
" Multiplayer quantum Minority game with decoherence",
delivered to SPIE Symposium on Fluctuations and Noise, Austin, Texas USA, May 24-26, 2005
discusses the multiplayer quantum Minority game and the effect of decoherence on the payoff at Nash equilibrium.

· A. P. Flitney and D. Abbott,
" Decoherence in quantum games",
delivered to SPIE Symposium on Fluctuations and Noise, Maspalomas, Gran Canaria Island, Spain, May 26-28, 2004
discusses the effect of decoherence in quantum games. See errata for corrections of minor errors in the conference version of this paper.

· A. P. Flitney and D. Abbott,
"Quantum duels and truels",
delivered to SPIE Symposium on Fluctuations and Noise, Santa Fe, New Mexico, June 1-4, 2003
is a quantum approach to the game theory problems of duels and truels (three person duel).
LANL abstract: quant-ph/0305058 (v1)

· A. P. Flitney and D. Abbott,
"Quantum models of Parrondo's games",
Nano- and Microtechnology: Materials, Processes, Packaging and Systems, Melbourne, Victoria, December 16-18, 2002, D. K. Sood, A. P. Malsha, R. Maeda eds., Proc. SPIE 4936 (2002) 58-64
is a summary of quantum approaches to Parrondo’s games.

· A. P. Flitney,
"Quantum Life",
Proc. Ninth International Symposium on Dynamic Games and Applications, Adelaide, South Australia, December 18-21, 2000 (winner of the ISDG prize for the best student paper) is a version of the game of Life.

Click on the paper titles to get pre-print version of the works.
The journals should be consulted for the published version.
Click on the LANL reference to get the abstract on the e-print server and access to the source files and other formats.

Earlier Work

· M. Rossi and A. P. Flitney,
"Symbolic algebra and renormalization of gauge theories", Comput. Phys. Commun. 90 (1995) 189-200
is a Mathematica package to do Dirac algebra and certain n-dimensional integrals in quantum field theory.
LANL abstract: quant-ph/9508074

· A. P. Flitney,
"A semi-empirical mid-latitude ionospheric model",
Proceedings of URSI-IPS Conference on the Ionosphere and Radio Wave Propagation, Sydney, April 1985
is a model of the quiet day electron density profile over mid-latitude southern hemisphere sites.

· A. P. Flitney,
"1/N expansion of the Yukawa and Gauss potentials",
Department of Physics, University of Tasmania, preprint 1984
gives approximate eigenenergies of the Yukawa and Gauss potentials using the large N expansion in non-relativistic quantum mechanics.