Systematic Magnus-based approach for suppressing leakage and non-adiabatic errors in quantum dynamics
arXiv:1610.01105 · doi:10.1103/PhysRevX.7.011021
Abstract
We present a systematic, perturbative method for correcting quantum gates to suppress errors that take the target system out of a chosen subspace. It addresses the generic problem of non-adiabatic errors in adiabatic evolution and state preparation, as well as general leakage errors due to spurious couplings to undesirable states. The method is based on the Magnus expansion: by correcting control pulses, we modify the Magnus expansion of an initially-given, imperfect unitary in such a way that the desired evolution is obtained. Applications to adiabatic quantum state transfer, superconducting qubits and generalized Landau-Zener problems are discussed.
24 pages, 10 figures, 1 table
References in corpus (10)
- The Magnus expansion and some of its applications
- Fault-tolerant quantum computation with high threshold in two dimensions
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Fidelity of quantum operations
- Detection and control of individual nuclear spins using a weakly coupled electron spin
- Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
- Fast population transfer engineering of three-level systems
- Adiabatic approximation with exponential accuracy for many-body systems and quantum computation
- Sufficient conditions for the convergence of the Magnus expansion
- Analytical approach to swift nonleaky entangling gates in superconducting qubits