Colin Benjamin

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We introduce a protocol for the fast simulation of n-dimensional quantum systems on n-qubit quantum computers with tunable couplings. A mapping is given between the control parameters of the quantum computer and the matrix elements of Hs(t), an arbitrary, real, time-dependent n × n dimensional Hamiltonian that is simulated in the n-dimensional 'single(More)
In a seminal paper, Meyer[1] described the advantages of quantum game theory by looking at the classical penny flip game. A player using quantum strategy can win against a classical player almost 100% of the time. Here we make a slight modification of the quantum game, with the two players sharing an entangled state to begin with. We then analyse two(More)
Parrondo's paradox is ubiquitous in games, ratchets and random walks.The apparent paradox, devised by Juan M. R. Parrondo, that two losing games A and B can produce an winning outcome has been adapted in many physical and biological systems to explain their working. However, proposals on demonstrating Parrondo's paradox using quantum walks failed in the(More)
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