Optimal control of a qubit in an optical cavity

Abstract

We study quantum information processing by means of optimal control theory. To this end, we analyze the damped Jaynes-Cummings model, and derive optimal control protocols that minimize the heating or energy dispersion rates, and controls that drive the system at the quantum speed limit. Special emphasis is put on analyzing the subtleties of optimal control theory for our system. In particular, it is shown how two fundamentally different approaches to the quantum speed limit can be reconciled by carefully formulating the problem.

arXiv comment10 pages, 6 figures

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Cited by in corpus (43)

• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Generalized Geometric Quantum Speed Limits
• Trade-off between speed and cost in shortcuts to adiabaticity
• Environment assisted speed-up of the field evolution in cavity QED
• Thermodynamic length in open quantum systems
• Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
• Classical-driving-assisted quantum speed-up
• Quantum-speed-limit time for multiqubit open systems
• Geometric quantum speed limits: a case for Wigner phase space
• Quantum speed limits and the maximal rate of information production
• Action quantum speed limits
• High-Speed Driving of a Two-Level System
• Energetic cost of Hamiltonian quantum gates
• Optimal protocols for slowly-driven quantum processes
• Shortcuts to adiabaticity: Suppression of pair production in driven Dirac dynamics
• Minimal dissipation in processes far from equilibrium
• From quantum speed limits to energy-efficient quantum gates
• Topological Speed Limit
• How difficult is it to prepare a quantum state?
• Optimal Efficiency of a Noisy Quantum Heat Engine
• Degenerate optimal paths in thermally isolated systems
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• Two-Stroke Optimization Scheme for Mesoscopic Refrigerators
• Fast and stable manipulation of a charged particle in a Penning trap
• Shortcuts in stochastic systems and control of biophysical processes
• Optimal control of an inhomogeneous spin ensemble coupled to a cavity
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• Hybrid quantum-classical simulation of quantum speed limits in open quantum systems
• A new route toward orthogonality
• Laser-field detuning assisted optimization of exciton valley dynamics in monolayer WSe${}_2$: Geometric quantum speed limit
• Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
• Family of attainable geometric quantum speed limits
• Quantum Property Preservation
• Correcting noisy quantum gates with shortcuts to adiabaticity
• Thermal Quantum Speed Limit for Classical-Driving Open Systems
• Optimal Work Extraction from Finite-Time Closed Quantum Dynamics
• Optimal-speed unitary quantum time evolutions and propagation of light with maximal degree of coherence