Quantum control by effective counterdiabatic driving

Abstract

We review a scheme for the systematic design of quantum control protocols based on shortcuts to adiabaticity in few-level quantum systems. The adiabatic dynamics is accelerated by introducing high-frequency modulations in the control Hamiltonian, which mimic a time-dependent counterdiabatic correction. We present a number of applications for the high-fidelity realization of quantum state transfers and quantum gates based on effective counterdiabatic driving, in platforms ranging from superconducting circuits to Rydberg atoms.

arXiv commentReview on effective counterdibatic driving

References in corpus (38)

• Quantum information with Rydberg atoms
• Circuit Quantum Electrodynamics
• A Quantum Engineer's Guide to Superconducting Qubits
• Coupling Superconducting Qubits via a Cavity Bus
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Atomic quantum gases in periodically driven optical lattices
• The Magnus expansion and some of its applications
• Shortcuts to adiabaticity: concepts, methods, and applications
• Stimulated Raman adiabatic passage in physics, chemistry and beyond
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Quantum Search by Local Adiabatic Evolution
• High-fidelity quantum driving
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Quantum simulation and computing with Rydberg-interacting qubits
• Geometry and non-adiabatic response in quantum and classical systems
• Minimizing irreversible losses in quantum systems by local counter-diabatic driving
• Speeding up adiabatic quantum state transfer by using dressed states
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
• Floquet-engineering counterdiabatic protocols in quantum many-body systems
• Tailoring quantum gases by Floquet engineering
• Non-dispersive wave packets in periodically driven quantum systems
• Quantum Adiabatic Brachistochrone
• Superadiabatic population transfer in a three-level superconducting circuit
• A superconducting qubit with Purcell protection and tunable coupling
• Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
• Three-level superadiabatic quantum driving
• Symmetric Rydberg controlled-Z gates with adiabatic pulses
• Focus on Shortcuts to Adiabaticity
• Counterdiabatic Optimised Local Driving
• Fast adiabatic evolution by oscillating initial Hamiltonians
• Experimental Implementation of Generalized Transitionless Quantum Driving
• Quantum simulation of three-body interactions in weakly driven quantum systems
• Optimal superadiabatic population transfer and gates by dynamical phase corrections
• Accelerating adiabatic protocols for entangling two qubits in circuit QED
• Optimal Control of Effective Hamiltonians
• Optimizing NMR quantum information processing via generalized transitionless quantum driving
• Experimental demonstration of robustness under scaling errors for superadiabatic population transfer in a superconducting circuit

Cited by in corpus (11)

• Accelerated creation of NOON states with ultracold atoms via counterdiabatic driving
• Counterdiabatic Driving with Performance Guarantees
• Comparison of Two Optimization Methods for a Rydberg Quantum Gate
• Reversing adiabatic state preparation in few-level quantum systems
• Multipassage Landau-Zener tunneling oscillations in transverse/longitudinal dual dressing of atomic qubits
• Improving Variational Counterdiabatic Driving with Weighted Actions and Computer Algebra
• Symmetric $C_Z$ gate for ultracold neutral atoms based on counterdiabatic driving at Rydberg excitation
• Nonadiabatic Self-Healing of Trotter Errors in Digitized Counterdiabatic Dynamics
• Higher order Magnus expansions for driven two-level quantum dynamics
• Multimode NOON-state generation with ultracold atoms via geodesic counterdiabatic driving
• Counterdiabatic driving for random-gap Landau-Zener transitions