Optimized pulses for the control of uncertain qubits
Abstract
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.
- Authors:
-
- 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
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-CA), Livermore, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); Technical Univ. of Dortmund (Germany)
- OSTI Identifier:
- 1426922
- Report Number(s):
- SAND2011-2808J; SAND2012-0331J
Journal ID: ISSN 1050-2947; PLRAAN; 470538; TRN: US1802975
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 85; Journal Issue: 5; Journal ID: ISSN 1050-2947
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 77 NANOSCIENCE AND NANOTECHNOLOGY; 97 MATHEMATICS AND COMPUTING
Citation Formats
Grace, Matthew D., Dominy, Jason M., Witzel, Wayne M., and Carroll, Malcolm S. Optimized pulses for the control of uncertain qubits. United States: N. p., 2012.
Web. doi:10.1103/PhysRevA.85.052313.
Grace, Matthew D., Dominy, Jason M., Witzel, Wayne M., & Carroll, Malcolm S. Optimized pulses for the control of uncertain qubits. United States. https://doi.org/10.1103/PhysRevA.85.052313
Grace, Matthew D., Dominy, Jason M., Witzel, Wayne M., and Carroll, Malcolm S. Fri .
"Optimized pulses for the control of uncertain qubits". United States. https://doi.org/10.1103/PhysRevA.85.052313. https://www.osti.gov/servlets/purl/1426922.
@article{osti_1426922,
title = {Optimized pulses for the control of uncertain qubits},
author = {Grace, Matthew D. and Dominy, Jason M. and Witzel, Wayne M. and Carroll, Malcolm S.},
abstractNote = {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.},
doi = {10.1103/PhysRevA.85.052313},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 5,
volume = 85,
place = {United States},
year = {Fri May 18 00:00:00 EDT 2012},
month = {Fri May 18 00:00:00 EDT 2012}
}
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Works referencing / citing this record:
Composite pulses for robust universal control of singlet–triplet qubits
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