Quantum control with a multi-dimensional Gaussian quantum invariant

Abstract

The framework of quantum invariants is an elegant generalization of adiabatic quantum control to control fields that do not need to change slowly. Due to the unavailability of invariants for systems with more than one spatial dimension, the benefits of this framework have not yet been exploited in multi-dimensional systems. We construct a multi-dimensional Gaussian quantum invariant that permits the design of time-dependent potentials that let the ground state of an initial potential evolve towards the ground state of a final potential. The scope of this framework is demonstrated with the task of shuttling an ion around a corner which is a paradigmatic control problem in achieving scalability of trapped ion quantum information technology.

arXiv comment12 pages, 1 figure

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Cited by in corpus (6)

• Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
• Dynamical invariant formalism of shortcuts to adiabaticity
• Creation and manipulation of surface code defects with quantum optimal control
• Optimal control with a multidimensional quantum invariant
• Inverse engineering of fast state transfer among coupled oscillators
• Quantum control without quantum states