Universal Quantum Computation through Control of Spin-Orbit Coupling

Abstract

We propose a method for quantum computation which uses control of spin-orbit coupling in a linear array of single electron quantum dots. Quantum gates are carried out by pulsing the exchange interaction between neighboring electron spins, including the anisotropic corrections due to spin-orbit coupling. Control over these corrections, even if limited, is sufficient for universal quantum computation over qubits encoded into pairs of electron spins. The number of voltage pulses required to carry out either single qubit rotations or controlled-Not gates scales as the inverse of a dimensionless measure of the degree of control of spin-orbit coupling.

4 pages, 3 figures (minor revision, references added)

References in corpus (22)

• Quantum Computation with Quantum Dots
• Coupled quantum dots as quantum gates
• Reliable Quantum Computers
• Universal Quantum Computation with the Exchange Interaction
• Non-ballistic spin field-effect transistor
• Electron Spin Resonance Transistors for Quantum Computing in Silicon-Germanium Heterostructures
• Optimal Creation of Entanglement Using a Two--Qubit Gate
• Universal quantum computation with spin-1/2 pairs and Heisenberg exchange
• Hilbert space structure of a solid state quantum computer: two-electron states of a double quantum dot artificial molecule
• Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
• Anisotropic exchange interaction of localized conduction-band electrons in semiconductor structures
• Electron spin coherence in semiconductors: Considerations for a spin-based solid state quantum computer architecture
• Cancellation of Spin-Orbit Effects in Quantum Gates Based on the Exchange Coupling in Quantum Dots
• Reducing Constraints on Quantum Computer Design by Encoded Selective Recoupling
• Characterization of non-local gates
• Anisotropic Spin Exchange in Pulsed Quantum Gates
• Symmetry of anisotropic exchange interactions in semiconductor nanostructures
• Spin-Orbit Coupling and Time-Reversal Symmetry in Quantum Gates
• Exact gate-sequences for universal quantum computation using the XY-interaction alone
• Dressed Qubits
• Simple Pulses for Universal Quantum Computation with a Heisenberg ABAB Chain
• Universal Quantum Logic from Zeeman and Anisotropic Exchange Interactions

Cited by in corpus (44)

• Spin-Orbit Mediated Control of Spin Qubits
• Holonomic quantum computation in decoherence-free subspaces
• Energy levels and magneto-optical transitions in parabolic quantum dots with spin-orbit coupling
• Singlet-triplet splitting in double quantum dots due to spin orbit and hyperfine interactions
• Universal Leakage Elimination
• Quantum gates between capacitively coupled double quantum dot two-spin qubits
• Theory of anisotropic exchange in laterally coupled quantum dots
• Spontaneous Edge Accumulation of Spin Currents in Finite-Size Two-Dimensional Diffusive Spin-Orbit Coupled SFS Heterostructures
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Spin-spin coupling in electrostatically coupled quantum dots
• Long-Range Spin-Triplet Correlations and Edge Spin Currents in Diffusive Spin-Orbit Coupled SNS Hybrids with a Single Spin-Active Interface
• Spin rotations induced by electron running on closed trajectories in gated semiconductor nanodevices
• Exchange-controlled single-electron-spin rotations in quantum dots
• Resonant harmonic generation and collective spin rotations in electrically driven quantum dots
• Spin-orbit coupling and anisotropic exchange in two-electron double quantum dots
• Tunable few electron quantum dots in InAs nanowires
• Detection and measurement of the Dzyaloshinskii-Moriya interaction in double quantum dot systems
• Electric field inversion asymmetry: Rashba and Stark effects for holes in resonant tunneling devices
• Configuration interaction calculations of the controlled phase gate in double quantum dot qubits
• Universal quantum computing with correlated spin-charge states
• Exchange cotunneling through quantum dots with spin-orbit coupling
• Non-adiabatically driven electron in quantum wire with spin-orbit interaction
• Spin Manipulation and Relaxation in Spin-Orbit Qubits
• Ideal switching effect in periodic spin-orbit coupling structures
• Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices
• Controllable anisotropic exchange coupling between spin qubits in quantum dots
• Quantum computation in semiconductor quantum dots of electron-spin asymmetric anisotropic exchange
• Singlet-triplet avoided crossings and effective $g$ factor versus spatial orientation of spin-orbit-coupled quantum dots
• Time dependent configuration interaction simulations of spin swap in spin orbit coupled double quantum dots
• Coupling of bonding and antibonding electron orbitals in double quantum dots by spin-orbit interaction
• Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates
• A BQP-complete problem related to the Ising model partition function via a new connection between quantum circuits and graphs
• Manipulation of two spin qubits in a double quantum dot using an electric field
• Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
• Theory of spin qubits in nanostructures
• Exact spin-orbit qubit manipulation
• Nuclear-induced time evolution of entanglement of two-electron spins in anisotropically coupled quantum dot
• Gated combo nanodevice for sequential operations on single electron spin
• Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
• Design and control of spin gates in two quantum dots arrays
• Suppression of Kondo-assisted co-tunneling in a spin-1 quantum dot with Spin-Orbit interaction
• Precision control of charge coherence in parallel double dot systems through spin-orbit interaction
• Variational quantum compiling for three-qubit gates design in quantum dots
• The two-impurity Kondo model with spin-orbit interactions