Fast quantum state engineering via universal SU(2) transformation

TL;DR

This paper presents a universal SU(2) transformation-based protocol for fast, flexible quantum state engineering in multi-level systems, demonstrated with NV centers, offering speed and robustness advantages over adiabatic methods.

Contribution

The authors introduce a universal SU(2) transformation protocol for inverse engineering Hamiltonians, enabling rapid and flexible quantum state control in two- and three-level systems.

Findings

Protocol achieves faster population transfer than adiabatic methods.

Demonstrates robustness against decoherence and parameter fluctuations.

Applicable to NV centers in diamond for practical quantum control.

Abstract

We introduce a simple yet versatile protocol to inverse engineer the time-dependent Hamiltonian in two- and three level systems. In the protocol, by utilizing a universal SU(2) transformation, a given speedup goal can be obtained with large freedom to select the control parameters. As an illustration example, the protocol is applied to perform population transfer between nitrogen-vacancy (NV) centers in diamond. Numerical simulation shows that the speed of the present protocol is fast compared with that of the adiabatic process. Moreover, the protocol is also tolerant to decoherence and experimental parameter fluctuations. Therefore, the protocol may be useful for designing an experimental feasible Hamiltonian to engineer a quantum system.