Systematic Magnus-based approach for suppressing leakage and non-adiabatic errors in quantum dynamics

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.

arXiv comment24 pages, 10 figures, 1 table

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Cited by in corpus (21)

• Floquet-engineering counterdiabatic protocols in quantum many-body systems
• Quantification and Characterization of Leakage Errors
• Scaling Phononic Quantum Networks of Solid-State Spins with Closed Mechanical Subsystems
• Reducing leakage of single-qubit gates for superconducting quantum processors using analytical control pulse envelopes
• Spin shuttling in a silicon double quantum dot
• Doubly geometric quantum control
• Coupling spins to nanomechanical resonators: Toward quantum spin-mechanics
• Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits
• Super-robust nonadiabatic geometric quantum control
• Perturbative operator approach to high-precision light-pulse atom interferometry
• Shortcuts to adiabaticity in the presence of a continuum: applications to itinerant quantum state transfer
• Fast and Robust Geometric Two-Qubit Gates for Superconducting Qubits and beyond
• Protocol for generating an arbitrary quantum state of the magnetization in cavity magnonics
• Avoiding leakage and errors caused by unwanted transitions in Lambda systems
• Adiabatic population transfer of dressed spin states with quantum optimal control
• Accelerated super-robust nonadiabatic holonomic quantum gates
• Quantum Control via Stimulated Raman User-defined Passage
• Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
• Geometric correspondence of noisy quantum dynamics and universal robust quantum gates
• Quantum simulation of time-dependent Hamiltonians via commutator-free quasi-Magnus operators
• Iterative Adaptive Spectroscopy of Short Signals