Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling

Abstract

We demonstrate the advantages of randomization in coherent quantum dynamical control. For systems which are either time-varying or require decoupling cycles involving a large number of operations, we find that simple randomized protocols offer superior convergence and stability as compared to deterministic counterparts. In addition, we show how randomization always allows to outperform purely deterministic schemes at long times, including combinatorial and concatenated methods. General criteria for optimally interpolating between deterministic and stochastic design are proposed and illustrated in explicit decoupling scenarios relevant to quantum information storage.

4 pages, 3 figures, replaced with final version

References in corpus (5)

• Fault-Tolerant Quantum Dynamical Decoupling
• Randomizing quantum states: Constructions and applications
• Remote preparation of quantum states
• Controlling quantum systems by embedded dynamical decoupling schemes
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• Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
• Advantages of Randomization in Coherent Quantum Dynamical Control
• Hamiltonian Formulation of Quantum Error Correction and Correlated Noise: The Effects Of Syndrome Extraction in the Long Time Limit
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• Randomized Dynamical Decoupling Techniques for Coherent Quantum Control
• Dynamical decoupling induced renormalization of the non-Markovian dynamics
• Stabilization of quantum information by combined dynamical decoupling and detected-jump error correction