Optimized pulses for the control of uncertain qubits

Grace, Matthew D.; Dominy, Jason M.; Witzel, Wayne M.; Carroll, Malcolm S.

doi:10.1103/PhysRevA.85.052313

Title: Optimized pulses for the control of uncertain qubits

Journal Article · Fri May 18 00:00:00 EDT 2012 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.85.052313· OSTI ID:1426922

Grace, Matthew D. ^[1]; Dominy, Jason M. ^[2]; Witzel, Wayne M. ^[3]; Carroll, Malcolm S. ^[4]

Sandia National Lab. (SNL-CA), Livermore, CA (United States). Dept. of Scalable and Secure Systems Research
Princeton Univ., NJ (United States). Program in Applied and Computational Mathematics; Univ. of Southern California, Los Angeles, CA (United States). Center for Quantum Information Science
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Dept. of Advanced Device Technologies
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Dept. of Photonic Microsystem Technologies

The construction of high-fidelity control fields that are robust to control, system, and/or surrounding environment uncertainties is a crucial objective for quantum information processing. Using the two-state Landau-Zener model for illustrative simulations of a controlled qubit, we generate optimal controls for π/2 and π pulses and investigate their inherent robustness to uncertainty in the magnitude of the drift Hamiltonian. Next, we construct a quantum-control protocol to improve system-drift robustness by combining environment-decoupling pulse criteria and optimal control theory for unitary operations. By perturbatively expanding the unitary time-evolution operator for an open quantum system, previous analysis of environment-decoupling control pulses has calculated explicit control-field criteria to suppress environment-induced errors up to (but not including) third order from π/2 and π pulses. We systematically integrate this criteria with optimal control theory, incorporating an estimate of the uncertain parameter to produce improvements in gate fidelity and robustness, demonstrated via a numerical example based on double quantum dot qubits. For the qubit model used in this work, postfacto analysis of the resulting controls suggests that realistic control-field fluctuations and noise may contribute just as significantly to gate errors as system and environment fluctuations.

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Research Organization:: Sandia National Lab. (SNL-CA), Livermore, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); Technical Univ. of Dortmund (Germany)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1426922

Report Number(s):: SAND2011-2808J; SAND2012-0331J; PLRAAN; 470538; TRN: US1802975

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 85, Issue 5; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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