Electron spin coherence in semiconductors: Considerations for a spin-based solid state quantum computer architecture

Abstract

We theoretically consider coherence times for spins in two quantum computer architectures, where the qubit is the spin of an electron bound to a P donor impurity in Si or within a GaAs quantum dot. We show that low temperature decoherence is dominated by spin-spin interactions, through spectral diffusion and dipolar flip-flop mechanisms. These contributions lead to 1-100 $\mu$s calculated spin coherence times for a wide range of parameters, much higher than former estimates based on $T_2^{\ast }$ measurements.

Role of the dipolar interaction clarified; Included discussion on the approximations employed in the spectral diffusion calculation. Final version to appear in Phys. Rev. B

References in corpus (2)

• Reducing Constraints on Quantum Computer Design by Encoded Selective Recoupling
• Magnetic Field Pinning of a Dynamic Electron-Spin-Resonance Line in a GaAs/AlGaAs Heterostructure

Cited by in corpus (92)

• Spintronics: Fundamentals and applications
• Spins in few-electron quantum dots
• Control and Detection of Singlet-Triplet Mixing in a Random Nuclear Field
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Electron Spin-Relaxation Times of Phosphorus Donors in Silicon
• Relaxation, dephasing, and quantum control of electron spins in double quantum dots
• Stimulated and spontaneous optical generation of electron spin coherence in charged GaAs quantum dots
• 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
• Theory of nuclear induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots
• Electron spin evolution induced by interaction with nuclei in a quantum dot
• A fast "hybrid" silicon double quantum dot qubit
• Electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with nuclei
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Electron spin decoherence of single Nitrogen-Vacancy defects in diamond
• Charge fluctuation induced dephasing of exchange coupled spin qubits
• Recipes for spin-based quantum computing
• Nuclear spin state narrowing via gate--controlled Rabi oscillations in a double quantum dot
• Quantum computing with antiferromagnetic spin clusters
• Electron spin decoherence in isotope-enriched silicon
• Quantum theory of spectral diffusion induced electron spin decoherence
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Nuclear Spins in Nanostructures
• Electron Spin for Classical Information Processing: A Brief Survey of Spin-Based Logic Devices, Gates and Circuits
• Theory of phonon-induced spin relaxation in laterally coupled quantum dots
• Gate control of spin dynamics in III-V semiconductor quantum dots
• Quantum Decoherence of the Central Spin in a Sparse System of Dipolar Coupled Spins
• Universal phase shift and non-exponential decay of driven single-spin oscillations
• Control of electron spin decoherence caused by electron-nuclear spin dynamics in a quantum dot
• Evolution of a localized electron spin in a nuclear spin environment
• Universal Quantum Computation through Control of Spin-Orbit Coupling
• Spin quantum computation in silicon nanostructures
• The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model
• Spin interactions, relaxation and decoherence in quantum dots
• Ultrafast optical spin echo for electron spins in semiconductors
• Universal Scaling of Hyperfine-Induced Electron Spin Echo Decay
• Quadrupolar spectra of nuclear spins in strained InGaAs quantum dots
• Decoherence by a chaotic many-spin bath
• Spin noise in quantum dot ensembles
• Chirality in Quantum Computation with Spin Cluster Qubits
• Spin Decay in a Quantum Dot Coupled to a Quantum Point Contact
• One-step preparation of cluster states in quantum dot molecules
• Nuclear spin diffusion in semiconductor nanostructures: Effects of inhomogeneous hyperfine interactions
• Normal and anomalous solitons in the theory of dynamical Cooper pairing
• Bang-Bang control of a qubit coupled to a quantum critical spin bath
• Radiative emission dynamics of quantum dots in a single cavity micropillar
• Quantum bath-driven decoherence of mixed spin systems
• Measurement, control, and decay of quantum-dot spins
• One-spin quantum logic gates from exchange interactions and a global magnetic field
• Detection of single electron spin resonance in a double quantum dot
• Wavefunction considerations for the central spin decoherence problem in a nuclear spin bath
• Two-spin dephasing by electron-phonon interaction in semiconductor double quantum dots
• Systematic study of carrier correlations in the electron-hole recombination dynamics of quantum dots
• Quantum non-demolition measurements of single donor spins in semiconductors
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Decoherence mechanisms of 209Bi donor electron spins in isotopically pure 28Si
• Qubit coherence control in a nuclear spin bath
• Elastic Spin Relaxation Processes in Semiconductor Quantum Dots
• Single spin universal Boolean logic
• Spin-Dependent Ringing and Beats in a Quantum Dot System
• The classical nature of nuclear spin noise near clock transitions of Bi donors in silicon
• Spin-Lattice Relaxation in Si Quantum Dots
• Fault-Tolerant Quantum Computation via Exchange interactions
• Polarization of Nuclear Spins from the Conductance of Quantum Wire
• Effect of electron-nuclear spin interactions on electron-spin qubits localized in self-assembled quantum dots
• Environmental noise effects on entanglement fidelity of exchange-coupled semiconductor spin qubits
• Selective Dynamic Nuclear Spin Polarization in Spin-Blocked Double-Dot
• Decoherence of nuclear spins in the "frozen core" of an electron spin
• Electrical read-out of the local nuclear polarization in the quantum Hall effect
• Measuring central-spin interaction with a spin bath by pulsed ENDOR: Towards suppression of spin diffusion decoherence
• Few-second-long correlation times in a quantum dot nuclear spin bath probed by frequency-comb NMR spectroscopy
• Giant anisotropy of Zeeman splitting of quantum confined acceptors in Si/Ge
• Substrate-controlled dynamics of spin qubits in low dimensional van-der-Waals materials
• Competing interactions in semiconductor quantum dots
• Overview of Spin-Based Quantum Dot Quantum Computation
• Quantum Computation and Bell-state Measurement with Double-Dot Molecules
• Disentangling the exchange coupling of entangled donors in the Si quantum computer architecture
• Towards Large-Scale Quantum Computation
• Spin relaxation rates in quasi-one-dimensional coupled quantum dots
• Simulation of Si:P spin-based quantum computer architecture
• Photon-assisted quantum state transfer and entanglement generation in spin chains
• Decoherence of two coupled singlet-triplet spin qubits
• Electronic structure of nuclear-spin-polarization-induced quantum dots
• Spin textures in strongly coupled electron spin and magnetic or nuclear spin systems in quantum dots
• Anisotropy of spin coherence in high mobility quantum wells with arbitrary magnetic fields
• Stimulated Raman spin coherence and spin-flip induced hole burning in charged GaAs quantum dots
• Quantum-dot spin qubit and hyperfine interaction
• Implementing controlled-NOT gate based on free spin qubits with semiconductor quantum-dot array
• Eliminating interactions between non-neighboring qubits in the preparation of cluster states in quantum molecules
• Readout of a single electron spin in a double quantum dot using a quantum point contact
• Anomalous external-magnetic-field dependence of dephasing in a spin bath
• One, Two, and $n$ Qubit Decoherence
• Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction