Time-optimal purification of a qubit in contact with a structured environment

Abstract

We investigate the time-optimal control of the purification of a qubit interacting with a structured environment, consisting of a strongly coupled two-level defect in interaction with a thermal bath. On the basis of a geometric analysis, we show for weak and strong interaction strengths that the optimal control strategy corresponds to a qubit in resonance with the reservoir mode. We investigate when qubit coherence and correlation between the qubit and the environment speed-up the control process.

Paper is submitted to PRA

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• Fast Route to Thermalization
• Information backflow as a resource for entanglement
• Resonant shortcuts for adiabatic rapid passage with only $z$-field control
• Exponential improvement for quantum cooling through finite-memory effects
• Fundamental Bounds on Qubit Reset
• Optimal control and selectivity of qubits in contact with a structured environment
• Accelerating Quantum Relaxation via Temporary Reset: A Mpemba-Inspired Approach
• Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
• Minimum time generation of a uniform superposition in a qubit with only transverse field control
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• Hidden Quantum Memory: Is Memory There When Somebody Looks?
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Optimizing resetting of superconducting qubits
• Quantum dynamical speedup for correlated initial states
• Quantum Optimal Control for Pure-State Preparation Using One Initial State