Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath

Abstract

For a two-state quantum object interacting with a slow mesoscopic interacting spin bath, we show that a many-body solution of the bath dynamics conditioned on the quantum-object state leads to an efficient control scheme to recover the lost quantum-object coherence through disentanglement. We demonstrate the theory with the realistic problem of one electron spin in a bath of many interacting nuclear spins in a semiconductor quantum dot. The spin language is easily generalized to a quantum object in contact with a bath of interacting multi-level quantum units with the caveat that it is mesoscopic and its dynamics is slow compared with the quantum object.

Revised version, with supplementary information

References in corpus (6)

• Single-shot read-out of an individual electron spin in a quantum dot
• Driven coherent oscillations of a single electron spin in a quantum dot
• Fault-Tolerant Quantum Dynamical Decoupling
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Inverting quantum decoherence by classical feedback from the environment

Cited by in corpus (34)

• Optimized Dynamical Decoupling in a Model Quantum Memory
• How to Enhance Dephasing Time in Superconducting Qubits
• Quenching Spin Decoherence in Diamond through Spin Bath Polarization
• Coherent Population Trapping of an Electron Spin in a Single Negatively Charged Quantum Dot
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Spin-echo of a single electron spin in a quantum dot
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Nuclear Spins in Nanostructures
• Towards Fault Tolerant Adiabatic Quantum Computation
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
• Concatenated Control Sequences based on Optimized Dynamic Decoupling
• Exponential decay in a spin bath
• Electron spin as a spectrometer of nuclear spin noise and other fluctuations
• Concatenated dynamical decoupling in a solid-state spin bath
• Spin interactions, relaxation and decoherence in quantum dots
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Decoherence induced by anisotropic hyperfine interaction in Si spin qubits
• Dynamical control of electron spin coherence in a quantum dot
• Optimization of Short Coherent Control Pulses
• Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
• Nuclear Spins as Quantum Memory in Semiconductor Nanostructures
• Measurement, control, and decay of quantum-dot spins
• Wavefunction considerations for the central spin decoherence problem in a nuclear spin bath
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Advantages of Randomization in Coherent Quantum Dynamical Control
• Decoherence of coupled electron spins via nuclear spin dynamics in quantum dots
• Numerical Analysis of Optimized Coherent Control Pulses
• Measurement Induced Quantum Coherence Recovery
• Readout of a single electron spin in a double quantum dot using a quantum point contact
• Coherence loss and recovery of an electron spin coupled inhomogeneously to a one-dimensional interacting spin bath: an adaptive t-DMRG study