Exchange interaction of hole-spin qubits in double quantum dots in highly anisotropic semiconductors

Abstract

We study the exchange interaction between two hole-spin qubits in a double quantum dot setup in a silicon nanowire in the presence of magnetic and electric fields. Based on symmetry arguments we show that there exists an effective spin that is conserved even in highly anisotropic semiconductors, provided that the system has a twofold symmetry with respect to the direction of the applied magnetic field. This finding facilitates the definition of qubit basis states and simplifies the form of exchange interaction for two-qubit gates in coupled quantum dots. If the magnetic field is applied along a generic direction, cubic anisotropy terms act as an effective spin-orbit interaction introducing novel exchange couplings even for an inversion symmetric setup. Considering the example of a silicon nanowire double dot, we present the relative strength of these anisotropic exchange interaction terms and calculate the fidelity of the $\sqrt{\text{SWAP}}$ gate. Furthermore, we show that the anisotropy-induced spin-orbit effects can be comparable to that of the direct Rashba spin-orbit interaction for experimentally feasible electric field strengths.

arXiv comment18 pages, 7 figures

References in corpus (64)

• Quantum Computation with Quantum Dots
• Coupled quantum dots as quantum gates
• Coherent control of a single electron spin with electric fields
• An addressable quantum dot qubit with fault-tolerant control fidelity
• A Two Qubit Logic Gate in Silicon
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Electron spin coherence exceeding seconds in high purity silicon
• Spin-orbit qubit in a semiconductor nanowire
• Storing quantum information for 30 seconds in a nanoelectronic device
• A CMOS silicon spin qubit
• Schrieffer-Wolff transformation for quantum many-body systems
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Prospects for Spin-Based Quantum Computing
• Universal quantum computation with spin-1/2 pairs and Heisenberg exchange
• Electric Dipole Induced Spin Resonance in Quantum Dots
• Reduced sensitivity to charge noise in semiconductor spin qubits via symmetric operation
• Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
• Spin relaxation and decoherence of holes in quantum dots
• Fast two-qubit logic with holes in germanium
• Ge hole spin qubit
• Noise suppression using symmetric exchange gates in spin qubits
• Two-qubit Gate of Combined Single Spin Rotation and Inter-dot Spin Exchange in a Double Quantum Dot
• Strong Spin-Orbit Interaction and Helical Hole States in Ge/Si Nanowires
• Electric Dipole Spin Resonance for Heavy Holes in Quantum Dots
• Optical control of one and two hole spins in interacting quantum dots
• Field Tuning the G-Factor in InAs Nanowire Double Quantum Dots
• Electrical spin driving by $g$-matrix modulation in spin-orbit qubits
• Spin interactions and switching in vertically tunnel-coupled quantum dots
• Nuclear Spins in Nanostructures
• Direct Rashba spin-orbit interaction in Si and Ge nanowires with different growth directions
• Circuit QED with Hole-Spin Qubits in Ge/Si Nanowire Quantum Dots
• Cancellation of Spin-Orbit Effects in Quantum Gates Based on the Exchange Coupling in Quantum Dots
• Strong and Tunable Spin-Orbit Coupling of One-Dimensional Holes in Ge/Si Core/Shell Nanowires
• Pauli Spin Blockade of Heavy Holes in a Silicon Double Quantum Dot
• Electrical control of g-factors in a few-hole silicon nanowire MOSFET
• Long-distance spin-spin coupling via floating gates
• Hybridization and spin decoherence in heavy-hole quantum dots
• Symmetry of anisotropic exchange interactions in semiconductor nanostructures
• Spin-Orbit Coupling and Time-Reversal Symmetry in Quantum Gates
• Electrical manipulation of semiconductor spin qubits within the g-matrix formalism
• Hole Spin Mixing in InAs Quantum Dot Molecules
• Tunable g factor and phonon-mediated hole spin relaxation in Ge/Si nanowire quantum dots
• Self-controlled growth of highly uniform Ge/Si hut wires for scalable qubit devices
• Anisotropic Pauli Spin Blockade of Holes in a GaAs Double Quantum Dot
• Electric-field dependent g-factor anisotropy in Ge-Si core-shell nanowire quantum dots
• Antilocalization of Coulomb Blockade in a Ge-Si Nanowire
• Spin-3/2 physics of semiconductor hole nanowires: Valence-band mixing and tunable interplay between bulk-material and orbital bound-state spin splittings
• Single-shot readout of hole spins in Ge
• Simple Pulses for Universal Quantum Computation with a Heisenberg ABAB Chain
• Electron spin coherence of shallow donors in natural and isotopically enriched germanium
• Single, double, and triple quantum dots in Ge/Si nanowires
• Spin blockade as a probe of Zeeman interactions in hole quantum dots
• Spin-orbit interaction and induced superconductivity in an one-dimensional hole gas
• Ambipolar quantum dots in undoped silicon fin field-effect transistors
• Superconducting grid-bus surface code architecture for hole-spin qubits
• Single and Double Hole Quantum Dots in Strained Ge/SiGe Quantum Wells
• Dimensional reduction of the Luttinger Hamiltonian and g-factors of holes in symmetric two-dimensional semiconductor heterostructures
• Acoustic phonons and strain in core/shell nanowires
• Observation of spin-orbit coupling induced Weyl points and topologically protected Kondo effect in a two-electron double quantum dot
• Spectroscopy of Quantum-Dot Orbitals with In-Plane Magnetic Fields
• Transmission lines and resonators based on quantum Hall plasmonics: electromagnetic field, attenuation and coupling to qubits
• Valence holes as Luttinger spinor based qubits in quantum dots
• Conserved Spin Quantity in Strained Hole Systems with Rashba and Dresselhaus Spin-Orbit Coupling
• Magnetic degeneracy points in interacting two-spin systems: geometrical patterns, topological charge distributions, and their stability

Cited by in corpus (12)

• A four-qubit germanium quantum processor
• Hole spin qubits in Si FinFETs with fully tunable spin-orbit coupling and sweet spots for charge noise
• Squeezed hole spin qubits in Ge quantum dots with ultrafast gates at low power
• Fully tunable longitudinal spin-photon interactions in Si and Ge quantum dots
• Two-qubit logic with anisotropic exchange in a fin field-effect transistor
• Hole Spin Qubits in Ge Nanowire Quantum Dots: Interplay of Orbital Magnetic Field, Strain, and Growth Direction
• Interacting holes in Si and Ge double quantum dots: from a multiband approach to an effective-spin picture
• Envelope-function theory of inhomogeneous strain in semiconductor nanostructures
• Multi-qubit DC gates over an inhomogeneous array of quantum dots
• Dressed basis sets for the modeling of exchange interactions in double quantum dots
• Anomalous zero-field splitting for hole spin qubits in Si and Ge quantum dots
• Fully tunable hyperfine interactions of hole spin qubits in Si and Ge quantum dots