Effect of electron-nuclear spin interactions on electron-spin qubits localized in self-assembled quantum dots
arXiv:quant-ph/0403122 · doi:10.1063/1.1850605
Abstract
The effect of electron-nuclear spin interactions on qubit operations is investigated for a qubit represented by the spin of an electron localized in a self-assembled quantum dot. The localized electron wave function is evaluated within the atomistic tight-binding model. The magnetic field generated by the nuclear spins is estimated in the presence of an inhomogeneous environment characterized by a random nuclear spin configuration, by the dot-size distribution, by alloy disorder, and by interface disorder. Due to these inhomogeneities, the magnitude of the nuclear magnetic field varies from one qubit to another by the order of 100 G, 100 G, 10 G, and 0.1 G, respectively. The fluctuation of the magnetic field causes errors in exchange operations due to the inequality of the Zeeman splitting between two qubits. We show that the errors can be made lower than the quantum error threshold if an exchange energy larger than 0.1 meV is used for the operation.
15 pages, 2 figures
References in corpus (29)
- Quantum Computation with Quantum Dots
- Quantum Teleportation is a Universal Computational Primitive
- Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
- Coupled quantum dots as quantum gates
- Electron spin relaxation by nuclei in semiconductor quantum dots
- Universal Quantum Computation with the Exchange Interaction
- Electron Spin Resonance Transistors for Quantum Computing in Silicon-Germanium Heterostructures
- Electron spin decoherence in quantum dots due to interaction with nuclei
- Experimental realization of a quantum algorithm
- Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
- Spin-flip transitions between Zeeman sublevels in semiconductor quantum dots
- Overhead and noise threshold of fault-tolerant quantum error correction
- Fault-Tolerant Error Correction with Efficient Quantum Codes
- 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
- Efficient fault-tolerant quantum computing
- Optical pumping of quantum dot nuclear spins
- Nucleus-mediated spin-flip transitions in GaAs quantum dots
- Experimental Realization of an Order-Finding Algorithm with an NMR Quantum Computer
- Optical manipulation of nuclear spin by a two-dimensional electron gas
- Hyperfine-mediated transitions between a Zeeman split doublet in GaAs quantum dots: The role of the internal field
- Electron spin coherence in semiconductors: Considerations for a spin-based solid state quantum computer architecture
- Quantum cellular automata quantum computing with endohedral fullerenes
- Spin decay and quantum parallelism
- Dynamic nuclear polarization at the edge of a two-dimensional electron gas
- Gate control of spin dynamics in III-V semiconductor quantum dots
- Interplay between Zeeman Coupling and Swap Action in Spin-based Quantum Computer Models: Error Correction in Inhomogeneous Magnetic Fields
- Exact gate-sequences for universal quantum computation using the XY-interaction alone
- Spin swap gate in the presence of qubit inhomogeneity in a double quantum dot
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- Influcence of the nuclear electric quadrupolar interaction on the coherence time of hole- and electron-spins confined in semiconductor quantum dots
- From quantum-mechanical to classical dynamics in the central-spin model
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- Electrical detection of free induction decay and Hahn echoes in phosphorus doped silicon
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- Nuclear frequency focusing in periodically pulsed semiconductor quantum dots described by infinite classical central spin models
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- Decoherence of two-electron spin states in quantum dots
- Increased coherence time in narrowed bath states in quantum dots
- Time-crystalline behavior in central-spin models with Heisenberg interactions
- Truncated Wigner approximation for the bosonic model of large spin baths
- Influence of quadrupolar interaction on NMR spectroscopy