Counterdiabatic driving for long-lived singlet state preparation

Abstract

The quantum adiabatic method, which maintains populations in their instantaneous eigenstates throughout the state evolution, is an established and often a preferred choice for state preparation and manipulation. Though it minimizes the driving cost significantly, its slow speed is a severe limitation in noisy intermediate-scale quantum (NISQ) era technologies. Since adiabatic paths are extensive in many physical processes, it is of broader interest to achieve adiabaticity at a much faster rate. Shortcuts to adiabaticity techniques which overcome the slow adiabatic process by driving the system faster through non-adiabatic paths, have seen increased attention recently. The extraordinarily long lifetime of the long-lived singlet states (LLS) in nuclear magnetic resonance, established over the past decade, has opened several important applications ranging from spectroscopy to biomedical imaging. Various methods, including adiabatic methods, are already being used to prepare LLS. In this article, we report the use of counterdiabatic driving (CD) to speed up LLS preparation with faster drives. Using NMR experiments, we show that CD can give stronger LLS order in shorter durations than conventional adiabatic driving.

References in corpus (9)

• Shortcut to adiabatic passage in two and three level atoms
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Fast atomic transport without vibrational heating
• Adiabatic tracking of quantum many-body dynamics
• Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
• Shortcuts to adiabaticity for quantum annealing
• Speeding-up a quantum refrigerator via counter-diabatic driving
• Shortcuts to Quantum Approximate Optimization Algorithm
• Optimizing Counterdiabaticity by Variational Quantum Circuits

Cited by in corpus (3)

• Highly Efficient Creation and Detection of Deeply-bound Molecules via Invariant-based Inverse Engineering with Feasible Modified Drivings
• Long-Lived Singlet State in an Oriented Phase and its Survival across the Phase Transition Into an Isotropic Phase
• Counterdiabatic driving for random-gap Landau-Zener transitions