Noise enhanced performance of adiabatic quantum computing by lifting degeneracies

Abstract

We investigate the symmetry breaking role of noise in adiabatic quantum computing using the example of the CNOT gate. In particular, we analyse situations where the choice of initial configuration leads to symmetries in the Hamiltonian and degeneracies in the spectrum. We show that, in these situations, there exists an optimal level of noise that maximises the success probability and the fidelity of the final state. The effects of an artificial noise source with a time-dependent amplitude are also explored and it is found that such a scheme would offer a considerable performance enhancement.

12 pages and 4 figures in preprint format. References in article corrected and journal reference added

References in corpus (6)

• Robustness of adiabatic quantum computation
• Simple proof of equivalence between adiabatic quantum computation and the circuit model
• Thermally assisted adiabatic quantum computation
• Noise resistance of adiabatic quantum computation using random matrix theory
• Decoherence in a scalable adiabatic quantum computer
• Geometrical dependence of low frequency noise in superconducting flux qubits

Cited by in corpus (5)

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• Feedback-controlled adiabatic quantum computation
• BBGKY chain and kinetic equations for the level dynamics in an externally perturbed quantum system
• Pechukas-Yukawa formalism for Landau-Zener transitions in the presence of external noise
• Pechukas-Yukawa approach to the evolution of the quantum state of a parametrically perturbed system