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)
On the surface of 2D topological insulators, 1D quantum spin Hall (QSH) edge modes occur with Dirac-like dispersion. Unlike quantum Hall (QH) edge modes, which occur at high magnetic fields in 2D electron gases, the occurrence of QSH edge modes is due to spin-orbit scattering in the bulk of the material. These QSH edge modes are spin-dependent, and(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)
The quantum magnetotransport properties of a monolayer of molybdenum disulfide are derived using linear response theory. In particular, the effect of topological terms on longitudinal and Hall conductivity is analyzed. The Hall conductivity exhibits fractional steps in the integer quantum Hall regime. Further complete spin and valley polarization of the(More)
The spin-orbit effect in graphene is too muted to have any observable significance with respect to its application in spintronics. However, graphene technology is too valuable to be rendered impotent to spin transport. In this communication we look at the effect of adiabatically twisting a single-molecule magnet embedded in a graphene monolayer.(More)
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