Robustness of non-Abelian holonomic quantum gates against parametric noise

Journal Article · Fri Oct 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.042316· OSTI ID:20646352

Solinas, Paolo; Zanghi, Nino ^[1]; Zanardi, Paolo ^[2]

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1. Istituto Nazionale di Fisica Nucleare (INFN) and Dipartimento di Fisica, Universita di Genova, Via Dodecaneso 33, 16146 Genova (Italy)
2. Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We present a numerical study of the robustness of a specific class of non-Abelian holonomic quantum gates. We take into account the parametric noise due to stochastic fluctuations of the control fields which drive the time-dependent Hamiltonian along an adiabatic loop. The performance estimator used is the state fidelity between noiseless and noisy holonomic gates. We carry over our analysis with different correlation times and we find out that noisy holonomic gates seem to be close to the noiseless ones for 'short' and 'long' noise correlation times. This result can be interpreted as a consequence of the geometric nature of the holonomic operator. Our simulations have been performed by using parameters relevant to the excitonic proposal for the implementation of holonomic quantum computation [P. Solinas et al., Phys. Rev. B 67, 121307 (2003)].

• OSTI ID: 20646352
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CONTROL
CORRELATIONS
FLUCTUATIONS
GATING CIRCUITS
HAMILTONIANS
INFORMATION THEORY
NOISE
NUMERICAL ANALYSIS
PERFORMANCE
QUANTUM MECHANICS
SIMULATION
STOCHASTIC PROCESSES
TIME DEPENDENCE