Breaking the quantum adiabatic speed limit by jumping along geodesics

Abstract

Quantum adiabatic evolutions find a broad range of applications in quantum physics and quantum technologies. The traditional form of the quantum adiabatic theorem limits the speed of adiabatic evolution by the minimum energy gaps of the system Hamiltonian. Here, we experimentally show using a nitrogen-vacancy center in diamond that, even in the presence of vanishing energy gaps, quantum adiabatic evolution is possible. This verifies a recently derived necessary and sufficient quantum adiabatic theorem and offers paths to overcome the conventionally assumed constraints on adiabatic methods. By fast modulation of dynamic phases, we demonstrate near-unit-fidelity quantum adiabatic processes in finite times. These results challenge traditional views and provide deeper understanding on quantum adiabatic processes, as well as promising strategies for the control of quantum systems.

arXiv commentWith new results

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Cited by in corpus (13)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Adiabatic theorem revisited: the unexpectedly good performance of adiabatic passage
• Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving
• Accelerated quantum control in a three-level system by jumping along the geodesics
• Generalized Adiabatic Theorems: Quantum Systems Driven by Modulated Time-Varying Fields
• Adiabaticity of spin dynamics in diamond nitrogen vacancy centers in time-dependent magnetic fields
• Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
• Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping
• Geometric phase amplification in a clock interferometer for enhanced metrology
• Creation and manipulation of surface code defects with quantum optimal control
• Approximating maximum independent set on Rydberg atom arrays using local detunings
• Accelerating quantum adiabatic evolution with $\pi$-pulse sequences
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation