12 research outputs found
Quantum Parrondo's Games
Parrondo's Paradox arises when two losing games are combined to produce a
winning one. A history dependent quantum Parrondo game is studied where the
rotation operators that represent the toss of a classical biased coin are
replaced by general SU(2) operators to transform the game into the quantum
domain. In the initial state, a superposition of qubits can be used to couple
the games and produce interference leading to quite different payoffs to those
in the classical case.Comment: LateX, 10 pages, 2 figures, submitted to Physica A special issue
(Gene Stanley Conference, Sicily, 2001), v2 minor correction to equations, v3
corrections to results section and table, acknowledgement adde
Quantum Bayesian implementation
Bayesian implementation concerns decision making problems when agents have
incomplete information. This paper proposes that the traditional sufficient
conditions for Bayesian implementation shall be amended by virtue of a quantum
Bayesian mechanism. In addition, by using an algorithmic Bayesian mechanism,
this amendment holds in the macro world.Comment: 14 pages, 3 figure
Symbolic Algebra and Renormalization of Gauge Theories
Symbolic algebra relevant to the renormalization of gauge theories can be
efficiently performed by machine using modern packages. We devise a scheme for
representing and manipulating the objects involved in perturbative calculations
of gauge theories. This scheme is readily implemented using the general purpose
package, Mathematica. The techniques discussed are used to calculate
renormalization group functions for a non-abelian gauge theory with
massless fermions in a representation R, in the two-loop approximation, and to
simplify some expressions arising in electroweak calculations at the two loop
level.Comment: 16 pages, LaTex, 2 diagrams drawn with FEYNMAN, uses cite.sty Entire
manuscript available as a ps file at
http://www.physics.adelaide.edu.au/theory/home.html Also available via
anonymous ftp at ftp://adelphi.adelaide.edu.au/pub/theory/ADP-95-41.T193.ps
Accepted for publication in Computer Physics Communicatio
Quantum games of asymmetric information
We investigate quantum games in which the information is asymmetrically
distributed among the players, and find the possibility of the quantum game
outperforming its classical counterpart depends strongly on not only the
entanglement, but also the informational asymmetry. What is more interesting,
when the information distribution is asymmetric, the contradictive impact of
the quantum entanglement on the profits is observed, which is not reported in
quantum games of symmetric information.Comment: 5 pages, 3 figure
Quantum models of Parrondo's games
©2003 COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.It is possible to have two games that are losing when played in isolation but that, because of some form of feedback, produce a winning game when played alternately or even in a random mixture. This effect is known as Parrondo's paradox. Quantum mechanics provides novel methods of combining two games through interference and entanglement. Two models of quantum Parrondo's games have been published and these are reviewed here. We speculate on a model of a quantum Parrondo's game using entanglement. Such games could find a use in the development of algorithms for quantum computers.Adrian P. Flitney and Derek Abbot