Superadiabatic control of quantum operations
Open Access
- 20 May 2016
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 93 (5), 052329
- https://doi.org/10.1103/physreva.93.052329
Abstract
Adiabatic pulses are used extensively to enable robust control of quantum operations. We introduce an approach to adiabatic control that uses the superadiabatic quality factor as a performance metric to design robust, high-fidelity pulses. This approach permits the systematic design of quantum control schemes to maximize the adiabaticity of a unitary operation in a particular time interval given the available control resources. The interplay between adiabaticity, fidelity, and robustness of the resulting pulses is examined for the case of single-qubit inversion, and superadiabatic pulses are demonstrated to have improved robustness to control errors. A numerical search strategy is developed to find a broader class of adiabatic operations, including multiqubit adiabatic unitaries. We illustrate the utility of this search strategy by designing control waveforms that adiabatically implement a two-qubit entangling gate for a model NMR system.Keywords
Funding Information
- Dartmouth College
- National Science Foundation (CHE-1410504)
This publication has 36 references indexed in Scilit:
- Quantum computation in continuous time using dynamic invariantsPhysics Letters A, 2011
- Gigahertz Dynamics of a Strongly Driven Single Quantum SpinScience, 2009
- Optimal Control at the Quantum Speed LimitPhysical Review Letters, 2009
- Adiabatic Gate TeleportationPhysical Review Letters, 2009
- Simple Pulses for Elimination of Leakage in Weakly Nonlinear QubitsPhysical Review Letters, 2009
- Demonstration of controlled-NOT quantum gates on a pair of superconducting quantum bitsNature, 2007
- Efficient Engineering of Multiatom Entanglement through Single-Photon DetectionsPhysical Review Letters, 2003
- Holonomic quantum computation with neutral atomsPhysical Review A, 2002
- Design of adiabatic selective pulses using optimal control theoryMagnetic Resonance in Medicine, 1996
- Broadband and adiabatic inversion of a two-level system by phase-modulated pulsesPhysical Review A, 1985