Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem

Abstract

We present a remarkable finding that a recently discovered [G. S. Uhrig, Phys. Rev. Lett. 98, 100504 (2007)] series of pulse sequences, designed to optimally restore coherence to a qubit in the spin-boson model of decoherence, is in fact completely model-independent and generically valid for arbitrary dephasing Hamiltonians given sufficiently short delay times between pulses. The series maximizes qubit fidelity versus number of applied pulses for sufficiently short delay times because the series, with each additional pulse, cancels successive orders of a time expansion for the fidelity decay. The "magical" universality of this property, which was not appreciated earlier, requires that a linearly growing set of "unknowns" (the delay times) must simultaneously satisfy an exponentially growing set of nonlinear equations that involve arbitrary dephasing Hamiltonian operators.

Published in PRL, revised

References in corpus (12)

• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Fault-Tolerant Quantum Dynamical Decoupling
• Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
• Quantum theory of spectral diffusion induced electron spin decoherence
• Coherence of Spin Qubits in Silicon
• Single Electron Spin Decoherence by Nuclear Spin Bath: Linked Cluster Expansion Approach
• Concatenated dynamical decoupling in a solid-state spin bath
• Decoherence induced by anisotropic hyperfine interaction in Si spin qubits
• Optimization of Short Coherent Control Pulses
• Wavefunction considerations for the central spin decoherence problem in a nuclear spin bath

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