quantum computing from linear algebra to physical realizations quantum computing: from linear algebra to physical quantum computing: from linear algebra to physical quantum computing from linearâ€¦ (More)

Quantum Cellular Automata (QCA) is an emerging nanotechnology and one of the top six technologies of the future. CMOS technology has a lot of limitations while scaling into a nano-level. QCAâ€¦ (More)

Abstract. It is shown that a vortex can be continuously created in a Bose-Einstein condensate with hyperfine spin F = 2 in a Ioffe-Pritchard trap by reversing the axial magnetic field adiabatically.â€¦ (More)

Holonomic quantum computation is analyzed from geometrical viewpoint. We develop an optimization scheme in which an arbitrary unitary gate is implemented with a small circle in a complex projectiveâ€¦ (More)

Shin-Ichiro Ogawa, Mikko MÃ¶ttÃ¶nen, Mikio Nakahara, Tetsuo Ohmi, and Hisanori Shimada Department of Physics, Osaka City University, Osaka 558-8585, Japan Materials Physics Laboratory, Helsinkiâ€¦ (More)

Juha J. Vartiainen,* Antti O. Niskanen, Mikio Nakahara, and Martti M. Salomaa Materials Physics Laboratory, POB 2200 (Technical Physics), Helsinki University of Technology, FIN-02015 HUT, Finland VTTâ€¦ (More)

Among the many proposals for the realization of a quantum computer, holonomic quantum computation is distinguished from the rest as it is geometrical in nature and thus expected to be robust againstâ€¦ (More)

In the context of evolutionary quantum computing in the literal meaning, a quantum crossover operation has not been introduced so far. Here, we introduce a novel quantum genetic algorithm which has aâ€¦ (More)

The isoholonomic problem in a homogeneous bundle is formulated and solved exactly. The problem takes a form of a boundary value problem of a variational equation. The solution is applied to theâ€¦ (More)