Universal Quantum Logic from Zeeman and Anisotropic Exchange Interactions

Abstract

Some of the most promising proposals for scalable solid-state quantum computing, e.g., those using electron spins in quantum dots or donor electron or nuclear spins in Si, rely on a two-qubit quantum gate that is ideally generated by an isotropic exchange interaction. However, an anisotropic perturbation arising from spin-orbit coupling is inevitably present. Previous studies focused on removing the anisotropy. Here we introduce a new universal set of quantum logic gates that takes advantage of the anisotropic perturbation. The price is a constant but modest factor in additional pulses. The gain is a scheme that is compatible with the naturally available interactions in spin-based solid-state quantum computers.

5 pages, including 2 figures. This version to be published in Phys. Rev. A

References in corpus (10)

• Sub-Riemannian Geometry and Time Optimal Control of Three Spin Systems: Quantum Gates and Coherence Transfer
• Creating Decoherence-Free Subspaces with Strong and Fast Pulses
• Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries
• 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
• Efficient Universal Leakage Elimination for Physical and Encoded Qubits
• Combined encoding and decoupling solution to problems of decoherence and design in solid-state quantum computing
• Anisotropic Spin Exchange in Pulsed Quantum Gates
• Qubits as Parafermions
• Simple Pulses for Universal Quantum Computation with a Heisenberg ABAB Chain

Cited by in corpus (36)

• Spins in few-electron quantum dots
• Spin-Orbit Mediated Control of Spin Qubits
• Thermal entanglement of spins in a nonuniform magnetic field
• Universal set of quantum gates for double-dot spin qubits with fixed interdot coupling
• Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction
• The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
• Singlet-triplet splitting in double quantum dots due to spin orbit and hyperfine interactions
• Universal Quantum Computation through Control of Spin-Orbit Coupling
• Ancilla-Driven Universal Quantum Computation
• Symmetry of anisotropic exchange interactions in semiconductor nanostructures
• Spin-Orbit Coupling and Time-Reversal Symmetry in Quantum Gates
• Universal Leakage Elimination
• Quantum gates between capacitively coupled double quantum dot two-spin qubits
• Dressed Qubits
• Encoded Recoupling and Decoupling: An Alternative to Quantum Error Correcting Codes, Applied to Trapped Ion Quantum Computation
• Spin-orbit coupling and anisotropic exchange in two-electron double quantum dots
• Detection and measurement of the Dzyaloshinskii-Moriya interaction in double quantum dot systems
• Precision characterisation of two-qubit Hamiltonians via entanglement mapping
• Control of the Two-Electron Exchange Interaction in a Nanowire Double Quantum Dot
• Combined Error Correction Techniques for Quantum Computing Architectures
• Overview of Spin-Based Quantum Dot Quantum Computation
• Quantum Computation and Bell-state Measurement with Double-Dot Molecules
• Dzyaloshinskii-Moriya and dipole-dipole interactions affect coupling-based Landau-Majorana-Stückelberg-Zener transitions
• Alternative Experimental Protocol for a PBR-Like Result
• Thermal entanglement of spins in mean-field clusters
• Quantum computation in semiconductor quantum dots of electron-spin asymmetric anisotropic exchange
• Coupling of quantum-dot states via elastic-cotunneling and crossed Andreev reflection in a minimal Kitaev chain
• 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
• Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates
• Coupling of bonding and antibonding electron orbitals in double quantum dots by spin-orbit interaction
• Characterization of partially accessible anisotropic spin chains in the presence of anti-symmetric exchange
• Nuclear-induced time evolution of entanglement of two-electron spins in anisotropically coupled quantum dot
• Quantum Computers and Decoherence: Exorcising the Demon from the Machine
• The two-impurity Kondo model with spin-orbit interactions
• Spin qubit shuttling between coupled quantum dots with inhomogeneous Landé g-tensors