Dynamical fidelity of a solid-state quantum computation

Abstract

In this paper we analyze the dynamics in a spin-model of quantum computer. Main attention is paid to the dynamical fidelity (associated with dynamical errors) of an algorithm that allows to create an entangled state for remote qubits. We show that in the regime of selective resonant excitations of qubits there is no any danger of quantum chaos. Moreover, in this regime a modified perturbation theory gives an adequate description of the dynamics of the system. Our approach allows to explicitly describe all peculiarities of the evolution of the system under time-dependent pulses corresponding to a quantum protocol. Specifically, we analyze, both analytically and numerically, how the fidelity decreases in dependence on the model parameters.

9 pages, 6 figures, submitted to PRE

References in corpus (8)

• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• On general relation between quantum ergodicity and fidelity of quantum dynamics
• Sensitivity of Wave Field Evolution and Manifold Stability in Chaotic Systems
• Measuring the Lyapunov exponent using quantum mechanics
• Can quantum chaos enhance stability of quantum computation?
• Delocalization border and onset of chaos in a model of quantum computation
• Avoiding Quantum Chaos in Quantum Computation
• Perturbation Theory for Quantum Computation with Large Number of Qubits

Cited by in corpus (6)

• Dynamics of Loschmidt echoes and fidelity decay
• Return probability: Exponential versus Gaussian decay
• Quantum freeze of fidelity decay for a class of integrable dynamics
• Decay of the classical Loschmidt echo in integrable systems
• A quantitative model for the effective decoherence of a quantum computer with imperfect unitary operations
• Decay of the Loschmidt echo in a time-dependent environment