Optimal Dynamical Decoherence Control of a Qubit

2008/04/16 by Goren Gordon, Gershon Kurizki, Daniel A. Lidar · 12 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physrevlett.101.010403

published as Phys. Rev. Lett. 101, 010403 (2008) · 6 pages, including 2 figures and an appendix

arxiv created 2008/04/16 · openalex publication_date 2008/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a theory of dynamical control by modulation for optimal decoherence reduction. The theory is based on the non-Markovian Euler-Lagrange equation for the energy-constrained field that minimizes the average dephasing rate of a qubit for any given dephasing spectrum.

Citations

• Optimal strategy for a single-qubit gate and the trade-off between opposite types of decoherence
• Universal dynamical decoherence control of noisy single- and multi-qubit systems
• Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications

Cited by

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• Coherent Dynamical Recoupling of Diffusion-Driven Decoherence in Magnetic Resonance
• Performance of dynamical decoupling in bosonic environments and under pulse-timing fluctuations
• Decoherence control: Universal protection of two-qubit states and two-qubit gates using continuous driving fields
• Optimal control of the silicon-based donor-electron-spin quantum computing
• Accuracy of dynamical-decoupling-based spectroscopy of Gaussian noise
• Non-Markovian master equation for a damped oscillator with time-varying parameters
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• From Zeno to anti-Zeno regime: Decoherence-control dependence on the quantum statistics of the bath

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• Optimal control for maximally creating and maintaining a superposition state of a two-level system under the influence of Markovian decoherence
• Universal dynamical decoherence control of noisy single- and multi-qubit systems
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• Decoherence control in quantum information processing: simple models
• Fighting dephasing noise with robust optimal control