Qubit coherence control in a nuclear spin bath

Abstract

Coherent dynamics of localized spins in semiconductors is limited by spectral diffusion arising from dipolar fluctuation of lattice nuclear spins. Here we extend the semiclassical theory of spectral diffusion for nuclear spins I=1/2 to the high nuclear spins relevant to the III-V materials and show that applying successive qubit pi-rotations at a rate approximately proportional to the nuclear spin quantum number squared (I^2) provides an efficient method for coherence enhancement. Hence robust coherent manipulation in the large spin environments characteristic of the III-V compounds is possible without resorting to nuclear spin polarization, provided that the pi-pulses can be generated at intervals scaling as I^{-2}.

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Cited by in corpus (20)

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• Quantum control and entanglement in a chemical compass
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Multiple-pulse coherence enhancement of solid state spin qubits
• Quantum measurement of a mesoscopic spin ensemble
• Electron spin as a spectrometer of nuclear spin noise and other fluctuations
• Spin quantum computation in silicon nanostructures
• Ambient Nanoscale Sensing with Single Spins Using Quantum Decoherence
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Coherent Control of Quantum Dynamics with Sequences of Unitary Phase-Kick Pulses
• Measurement, control, and decay of quantum-dot spins
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Advantages of Randomization in Coherent Quantum Dynamical Control
• Manifestations of the absence of spin diffusion in multipulse NMR experiments on diluted dipolar solids
• Reexamination of spin decoherence in semiconductor quantum dots from equation-of-motion approach
• Competing interactions in semiconductor quantum dots
• Hamiltonian Switching Control of Noisy Bipartite Qubit Systems
• Optimal generation of single-qubit operation from an always-on interaction by algebraic decoupling
• Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction