Stability of mixed Nash equilibria in symmetric quantum games

In bi-matrix games the Bishop-Cannings theorem of the classical evolutionary game theory does not permit pure evolutionarily stable strategies (ESSs) when a mixed ESS exists. We find the necessary form of two-qubit initial quantum states when a switch-over to a quantum version of the game also changes the evolutionary stability of a mixed symmetric Nash equilibrium.Comment: 8 pages, no figure, to appear in Communications in Theoretical Physic

Quantum Cooperative Games

We study two forms of a symmetric cooperative game played by three players, one classical and other quantum. In its classical form making a coalition gives advantage to players and they are motivated to do so. However in its quantum form the advantage is lost and players are left with no motivation to make a coalition.Comment: Revised in the light of referee's comments. Submitted to Physics Letters A. LaTex, 9 pages, 1 figure. Parts of this paper are rewritte

Entanlement-Assisted Classical Capacity of Quantum Channels with Correlated Noise

We calculate the entanglement-assisted classical capacity of symmetric and asymmetric Pauli channels where two consecutive uses of the channels are correlated. It is evident from our study that in the presence of memory, a higher amount of classical information is transmitted over quantum channels if there exists prior entanglement as compared to product and entangled state coding.Comment: 8 Pages, 2 Figure

On the Order of Gene Distribution on Chromosomes Across the Animal Kingdom

Background. The large-scale pattern of distribution of genes on the chromosomes in the known animal genomes is not well characterized. We hypothesized that individual genes will be distributed on chromosomes in a mathematically ordered manner across the animal kingdom. Results. Twenty-one animal genomes reported in the NCBI database were examined. Numerically, there was a trend towards increasing overall gene content with increasing size of the genome as reflected by the chromosomal complement. Gene frequency on individual chromosomes in each animal genome was analyzed and demonstrated uniformity of proportions within each animal with respect to both average gene frequency on individual chromosomes and gene distribution across the unique genomes. Further, average gene distribution across animal species followed a relationship whereby it was, approximately, inversely proportional to the square root of the number of chromosomes in the unique animal genomes, consistent with the notion that there is an ordered increase in gene dispersion as the complexity of the genome increased. To further corroborate these findings a derived measure, termed gene spacing on chromosomes correlated with gene frequency and gene distribution. Conclusion. As animal species have evolved, the distribution of their genes on individual chromosomes and within their genomes, when viewed on a large scale is not random, but follows a mathematically ordered process, such that as the complexity of the organism increases, the genes become less densely distributed on the chromosomes and more dispersed across the genome.Comment: 13 pages, 3 tables and 7 figure