Continuous-variable and hybrid quantum gates

Abstract

We provide several schemes to construct the continuous-variable SWAP gate and present a Hermitian generalized many-body continuous controlled^n-NOT gate. We introduce and study the hybrid controlled-NOT gate and controlled-SWAP gate, and physical realizations of them are discussed in trapped-ion systems. These continuous-variable and hybrid quantum gates may be used in the corresponding continuous-variable and hybrid quantum computations.

5 pages, no figures, minor changed, revised version submitted to J. Phys. A: Math. Gen

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