Controllable freezing of the nuclear spin bath in a single-atom spin qubit

Abstract

The quantum coherence and gate fidelity of electron spin qubits in semiconductors is often limited by noise arising from coupling to a bath of nuclear spins. Isotopic enrichment of spin-zero nuclei such as ${}^{28}$Si has led to spectacular improvements of the dephasing time $T_2^{\ast }$ which, surprisingly, can extend two orders of magnitude beyond theoretical expectations. Using a single-atom ${}^{31}$P qubit in enriched ${}^{28}$Si, we show that the abnormally long $T_2^{\ast }$ is due to the controllable freezing of the dynamics of the residual ${}^{29}$Si nuclei close to the donor. Our conclusions are supported by a nearly parameter-free modeling of the ${}^{29}$Si nuclear spin dynamics, which reveals the degree of back-action provided by the electron spin as it interacts with the nuclear bath. This study clarifies the limits of ergodic assumptions in analyzing many-body spin-problems under conditions of strong, frequent measurement, and provides novel strategies for maximizing coherence and gate fidelity of spin qubits in semiconductors.

arXiv comment11 pages, 5 figures

References in corpus (35)

• Spins in few-electron quantum dots
• Many body localization and thermalization in quantum statistical mechanics
• Silicon Quantum Electronics
• A >99.9%-fidelity quantum-dot spin qubit with coherence limited by charge noise
• A single-atom electron spin qubit in silicon
• Single-shot readout of an electron spin in silicon
• Electron spin coherence exceeding seconds in high purity silicon
• Storing quantum information for 30 seconds in a nanoelectronic device
• How to Enhance Dephasing Time in Superconducting Qubits
• High-fidelity readout and control of a nuclear spin qubit in silicon
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Electron Spin-Relaxation Times of Phosphorus Donors in Silicon
• Fidelity benchmarks for two-qubit gates in silicon
• Silicon qubit fidelities approaching incoherent noise limits via pulse engineering
• Suppressing qubit dephasing using real-time Hamiltonian estimation
• Dynamical decoupling sequence construction as a filter-design problem
• Electron spin decoherence in isotope-enriched silicon
• Quantifying the quantum gate fidelity of single-atom spin qubits in silicon by randomized benchmarking
• Low-frequency spin qubit detuning noise in highly purified ${}^{28}$Si/SiGe
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Pair-wise decoherence in coupled spin qubit networks
• Dynamic nuclear polarization and spin-diffusion in non-conducting solids
• Line Broadening and Decoherence of Electron Spins in Phosphorus-Doped Silicon Due to Environmental 29^Si Nuclear Spins
• Quantifying error and leakage in an encoded Si/SiGe triple-dot qubit
• Closed-loop control of a GaAs-based singlet-triplet spin qubit with 99.5% gate fidelity and low leakage
• Quadrupolar induced suppression of nuclear spin bath fluctuations in self-assembled quantum dots
• Nanoscale broadband transmission lines for spin qubit control
• Optimization of a solid-state electron spin qubit using Gate Set Tomography
• Decoherence induced by anisotropic hyperfine interaction in Si spin qubits
• Converting a real quantum bath to an effective classical noise
• Quantum transport properties of industrial ${}^{28}$Si/${}^{28}$SiO${}_2$
• Vibration-induced electrical noise in a cryogen-free dilution refrigerator: characterization, mitigation, and impact on qubit coherence
• Addressable electron spin resonance using donors and donor molecules in silicon
• Quadrupolar and anisotropy effects on dephasing in two-electron spin qubits in GaAs
• Decoherence of nuclear spins in the "frozen core" of an electron spin

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• Donor spins in silicon for quantum technologies
• Blueprint of a scalable spin qubit shuttle device for coherent mid-range qubit transfer in disordered Si/SiGe/SiO${}_2$
• Magnetic Gradient Fluctuations from Quadrupolar ${}^{73}$Ge in Si/SiGe Exchange-Only Qubits
• Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips
• Tomography of entangling two-qubit logic operations in exchange-coupled donor electron spin qubits
• Single spin qubit geometric gate in a silicon quantum dot
• Improved placement precision of implanted donor spin qubits in silicon using molecule ions
• Error channels in quantum nondemolition measurements on spin systems
• Nuclear Spin Engineering for Quantum Information Science
• Optical measurement of electron spins in quantum dots: Quantum Zeno effects
• Theory of Metastability in Discrete-Time Open Quantum Dynamics
• Stochastic quantum trajectories demonstrate the Quantum Zeno Effect in open spin 1/2, spin 1 and spin 3/2 systems
• The origins of noise in the Zeeman splitting of spin qubits in natural-silicon devices
• How coherence measurements of a qubit steer its quantum environment
• Tuning the nuclei-induced spin relaxation of localized electrons by the quantum Zeno and anti-Zeno effects
• Nanoscale engineering and dynamical stabilization of mesoscopic spin textures
• Theory on electron-phonon spin dehphasing in GaAs multi-electron double quantum dots
• Dynamical nuclear spin polarization in a quantum dot with an electron spin driven by electric dipole spin resonance
• Spin-photon Qubits for Scalable Quantum Network