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Decoherence of the quantum logic gate implemented with the Jaynes-Cummings model | Hiroo Azuma
; | Date: |
1 May 2016 | Abstract: | In this paper, we investigate decoherence of Knill, Laflamme, and Milburn’s
nonlinear sign-shift gate that is implemented with the Jaynes-Cummings model.
We analyze it by two methods. In the first method, we introduce a stochastic
variable as an external magnetic field, and we let it couple with a magnetic
dipole moment of a two-level atom. We examine this model using a semiclassical
theory. The results of the Monte Carlo simulations under the semiclassical
approximation correspond well with those obtained with the quantum mechanical
perturbation theory for the stochastic process. In the second method, we study
a master equation of the Jaynes-Cummings model with cavity losses in a fully
quantum mechanical manner. We solve the master equation numerically with the
Runge-Kutta method. For both semiclassical and fully quantum mechanical
analyses, we can observe both the $mbox{T}_{1}$ and $mbox{T}_{2}$ decays.
This paper is a sequel of the reference [H.~Azuma, Prog. Theor. Phys. {f
126}, 369 (2011)]. | Source: | arXiv, 1605.0219 | Services: | Forum | Review | PDF | Favorites |
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