Unitary deformations of counterdiabatic driving

Abstract

We study a deformation of the counterdiabatic-driving Hamiltonian as a systematic strategy for an adiabatic control of quantum states. Using a unitary transformation, we design a convenient form of the driver Hamiltonian. We apply the method to a particle in a confining potential and discrete systems to find explicit forms of the Hamiltonian and discuss the general properties. The method is derived by using the quantum brachistochrone equation, which shows the existence of a nontrivial dynamical invariant in the deformed system.

arXiv comment10 pages, 3 figures; revised

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• Shortcuts to adiabaticity for quantum annealing
• Fast forward to the classical adiabatic invariant
• From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
• Performance Evaluation of Adiabatic Quantum Computation via Quantum Speed Limits and Possible Applications to Many-Body Systems
• Fast driving between arbitrary states of a quantum particle by trap deformation
• Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity
• Invariant-based inverse engineering of crane control parameters
• Counterdiabatic Formalism of Shortcuts to Adiabaticity
• Fast-forward scaling theory
• Fast-forward scaling theory for quantum dynamics on curved space-time