Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations
arXiv:quant-ph/0601099 · doi:10.1103/PhysRevA.73.052305
Abstract
We study decoherence induced by stochastic squeezing control errors considering the particular implementation of Hadamard gate on optical and ion trap holonomic quantum computers. We find the fidelity for Hadamard gate and compute the purity of the final state when the control noise is modeled by Ornstein-Uhlenbeck stochastic process. We demonstrate that in contradiction to the case of the systematic control errors the stochastic ones lead to decoherence of the final state. In the small errors limit we derive a simple formulae connecting the gate fidelity and the purity of the final state.
RevTex, 5 pages, few typos corrected
References in corpus (12)
- Berry phase for a spin 1/2 in a classical fluctuating field
- Geometric quantum gates robust against stochastic control errors
- Holonomic quantum computation in decoherence-free subspaces
- Robustness of non-abelian holonomic quantum gates against parametric noise
- Spin-1/2 geometric phase driven by decohering quantum fields
- Holonomic quantum computation in the presence of decoherence
- Robust gates for holonomic quantum computation
- Holonomic quantum gates: A semiconductor-based implementation
- Stability of holonomic quantum computations
- Holonomic Quantum Computing Based on the Stark Effect
- Refocusing schemes for holonomic quantum computation in presence of dissipation
- Robust Hadamard gate for optical and ion trap holonomic quantum computers