Robust quantum control with disorder-dressed evolution

Abstract

The theory of optimal quantum control serves to identify time-dependent control Hamiltonians that efficiently produce desired target states. As such, it plays an essential role in the successful design and development of quantum technologies. However, often the delivered control pulses are exceedingly sensitive to small perturbations, which can make it hard if not impossible to reliably deploy these in experiments. Robust quantum control aims at mitigating this issue by finding control pulses that uphold their capacity to reproduce the target states even in the presence of pulse perturbations. However, finding such robust control pulses is generically hard, since the assessment of control pulses requires the inclusion of all possible distorted versions in the evaluation. Here we show that robust control pulses can be identified based on disorder-dressed evolution equations. The latter capture the effect of disorder, which here stands for the pulse perturbations, in terms of quantum master equations describing the evolution of the disorder-averaged density matrix. In this approach to robust control, the purities of the final states indicate the robustness of the underlying control pulses, and robust control pulses are singled out if the final states are pure (and coincide with the target states). We show that this principle can be successfully employed to find robust control pulses. To this end, we adapt Krotov's method for disorder-dressed evolution and demonstrate its application with several single-qubit control tasks.

arXiv commentCorresponds to published version. 13 pages

References in corpus (50)

• Quantum sensing
• Quantum Simulation
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• Shortcuts to adiabaticity: concepts, methods, and applications
• Control of quantum phenomena: Past, present, and future
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Training Schrödinger's cat: quantum optimal control
• Natural and artificial atoms for quantum computation
• Quantum control theory and applications: A survey
• Efficient long distance quantum communication
• Optimal control technique for Many Body Quantum Systems dynamics
• Chopped random-basis quantum optimization
• Optimally robust shortcuts to population inversion in two-level quantum systems
• Optimal control theory for unitary transformations
• Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
• Robust quantum control by shaped pulse
• Controlling open quantum systems: Tools, achievements, and limitations
• Monotonically convergent optimization in quantum control using Krotov's method
• Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
• Optimal control of complex atomic quantum systems
• Optimal control of open quantum systems: cooperative effects of driving and dissipation
• Sampling-based learning control of inhomogeneous quantum ensembles
• Robust optimal quantum gates for Josephson charge qubits
• Krotov: A Python implementation of Krotov's method for quantum optimal control
• Robustness of high-fidelity Rydberg gates with single-site addressability
• Sliding mode control of quantum systems
• Stability, Gain, and Robustness in Quantum Feedback Networks
• Robust optimal control of two-level quantum systems
• Optimal control theory for a unitary operation under dissipative evolution
• Remote optimization of an ultra-cold atoms experiment by experts and citizen scientists
• Robust manipulation of superconducting qubits in the presence of fluctuations
• Optimal control for non-Markovian open quantum systems
• Pulse-level noisy quantum circuits with QuTiP
• Learning robust control for generating universal quantum gates
• Krotov Method for Optimal Control in Closed Quantum Systems
• Error-robust quantum logic optimization using a cloud quantum computer interface
• Effective dynamics of disordered quantum systems
• Gradient-based closed-loop quantum optimal control in a solid-state two-qubit system
• Adiabatic passage and ensemble control of quantum systems
• Reservoir Engineering using Quantum Optimal Control for Qubit Reset
• Lifetime of flatband states
• Optimal preparation of quantum states on an atom chip device
• Incoherent ensemble dynamics in disordered systems
• Disorder-dressed quantum evolution
• Disorder-induced dephasing in backscattering-free quantum transport
• Disorder-robust entanglement transport
• Quantum evolution in disordered transport
• Helical transport in coupled resonator waveguides
• Robust controllability of two-qubit Hamiltonian dynamics

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