Controlling open quantum systems using fast transitions

Abstract

Unitary control and decoherence appear to be irreconcilable in quantum mechanics. When a quantum system interacts with an environment, control strategies usually fail due to decoherence. In this letter, we propose a time-optimal unitary control protocol suitable for quantum open systems. The method is based on succesive diabatic and sudden switch transitions in the avoided crossings of the energy spectra of closed systems. We show that the speed of this control protocol meets the fundamental bounds imposed by the quantum speed limit, thus making this scheme ideal for application where decoherence needs to be avoided. We show that our method can achieve complex control strategies with high accuracy in quantum open systems.

5 pages, 4 figures

References in corpus (9)

• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Optimal Control at the Quantum Speed Limit
• High-fidelity quantum driving
• Time-optimal control of a two-level dissipative quantum system
• Landau-Zener tunnelling in dissipative circuit QED
• Coherent control of interacting electrons in quantum dots via navigation in the energy spectrum
• Coherent control of localization, entanglement, and state superpositions in a double quantum dot with two electrons
• Characterization of Landau-Zener Transitions in Systems with Complex Spectra
• Landau-Zener transitions in a semiconductor quantum dot

Cited by in corpus (8)

• Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors
• Quantum Speed Limit and optimal evolution time in a two-level system
• Quantum speed limits and optimal Hamiltonians for driven systems in mixed states
• Quantum Optimal Control: Landscape Structure and Topology
• Non-adiabatic many-atom quantum state control in few-well systems
• Maximum population transfer in a periodically driven two-level system
• Enhancement of quantum speed limit time due to cooperative effects in multilevel systems
• Time-optimal control fields for quantum systems with multiple avoided crossings