Fidelity of holonomic quantum computations in the case of random errors in the values of control parameters

Details Fidelity of holonomic quantum computations in the case of random errors in the values of control parameters Fidelity of holonomic quantum computations in the case of random errors in the values of control parameters

2006-01-21

arxiv.org/abs/quant-ph/0601146v1

Phys. Rev. A 73 (2006) 022336

Physics

Quantum Physics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevA.73.022336

We investigate the influence of random errors in external control parameters on the stability of holonomic quantum computation in the case of arbitrary loops and adiabatic connections. A simple expression is obtained for the case of small random uncorrelated errors. Due to universality of mathematical description our results are valid for any physical system which can be described in terms of holonomies. Theoretical results are confirmed by numerical simulations.

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