Noise Resistant Quantum Control Using Dynamical Invariants

Abstract

A systematic approach to design robust control protocols against the influence of different types of noise is introduced. We present control schemes which protect the decay of the populations avoiding dissipation in the adiabatic and non-adiabatic regimes and minimize the effect of dephasing. The effectiveness of the protocols is demonstrated in two different systems. Firstly we present the case of population inversion of a two level system in the presence of either one or two simultaneous noise sources. Secondly, we present an example of the expansion of coherent and thermal states in harmonic traps, subject to noise arising from monitoring and modulation of the control respectively.

References in corpus (15)

• Shortcut to adiabatic passage in two and three level atoms
• Continuous quantum measurement and Itô formalism
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Fast atomic transport without vibrational heating
• Fast optimal transition between two equilibrium states
• Fast and noise-resistant implementation of quantum phase gates and creation of quantum entangled states
• Cooling and thermometry of atomic Fermi gases
• Shortcuts to adiabaticity for quantum annealing
• Control landscapes for two-level open quantum systems
• Fast generation of spin-squeezed states in bosonic Josephson junctions
• Dynamical invariants and nonadiabatic geometric phases in open quantum systems
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• Action-Noise-Assisted Quantum Control
• Effect of Poisson noise on adiabatic quantum control

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