Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates

Abstract

We study the implications of spin-orbit interaction (SOI) for two-qubit gates (TQGs) in semiconductor spin qubit platforms. SOI renders the exchange interaction governing qubit pairs anisotropic, posing a serious challenge for conventional TQGs derived for the isotropic Heisenberg exchange. Starting from microscopic level, we develop a concise computational Hamiltonian that captures the essence of SOI, and use it to derive properties of the rotating-frame time evolutions. Two key findings are made. First, for the controlled-phase/controlled-Z gate, we show and analytically prove the existence of ``SOI nodes'' where the fidelity can be optimally enhanced, with only slight modifications in terms of gate time and local phase corrections. Second, we discover and discuss novel two-qubit dynamics that are inaccessible without SOI -- the reflection gate and the direct controlled-not gate. The relevant conditions and achievable fidelities are studied for the direct controlled-not gate.

References in corpus (47)

• Spintronics: Fundamentals and applications
• Quantum Computation with Quantum Dots
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Helical liquids and Majorana bound states in quantum wires
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• NMR Techniques for Quantum Control and Computation
• A Two Qubit Logic Gate in Silicon
• A >99.9%-fidelity quantum-dot spin qubit with coherence limited by charge noise
• A programmable two-qubit quantum processor in silicon
• Semiconductor Spin Qubits
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Quantum CNOT Gate for Spins in Silicon
• Computing with spin qubits at the surface code error threshold
• Electric Dipole Induced Spin Resonance in Quantum Dots
• Resilient Quantum Computation: Error Models and Thresholds
• Ge hole spin qubit
• Quantum error correction with silicon spin qubits
• Anisotropic exchange interaction of localized conduction-band electrons in semiconductor structures
• Fast spin-orbit qubit in an indium antimonide nanowire
• Ultrafast Hole Spin Qubit with Gate-Tunable Spin-Orbit Switch
• Spin-Orbit Mediated Control of Spin Qubits
• High-fidelity quantum gates in Si/SiGe double quantum dots
• Cancellation of Spin-Orbit Effects in Quantum Gates Based on the Exchange Coupling in Quantum Dots
• Efficient C-Phase gate for single-spin qubits in quantum dots
• Fast Electrical Control of Single Electron Spins in Quantum Dots with Vanishing Influence from Nuclear Spins
• Hole spin qubits in Si FinFETs with fully tunable spin-orbit coupling and sweet spots for charge noise
• Anisotropic Spin Exchange in Pulsed Quantum Gates
• Universal Quantum Computation through Control of Spin-Orbit Coupling
• Spin dynamics in a strongly driven system: very slow Rabi oscillations
• Controlling a Nanowire Spin-Orbit Qubit via Electric-Dipole Spin Resonance
• Symmetry of anisotropic exchange interactions in semiconductor nanostructures
• Spin-Orbit Coupling and Time-Reversal Symmetry in Quantum Gates
• High fidelity state preparation, quantum control, and readout of an isotopically enriched silicon spin qubit
• Theory of anisotropic exchange in laterally coupled quantum dots
• Universal Quantum Logic from Zeeman and Anisotropic Exchange Interactions
• Qubit gates with simultaneous transport in double quantum dots
• Spin-orbit coupling and anisotropic exchange in two-electron double quantum dots
• Spin-orbit mediated anisotropic spin interaction in interacting electron systems
• Anisotropic Pauli spin-blockade effect and spin-orbit interaction field in an InAs nanowire double quantum dot
• Spin-orbit effect on electron-electron interaction and fine structure of electron complexes in quantum dots
• High-fidelity two-qubit gates of hybrid superconducting-semiconducting singlet-triplet qubits
• Control of the Two-Electron Exchange Interaction in a Nanowire Double Quantum Dot
• Anisotropic exchange coupling in a nanowire double quantum dot with strong spin-orbit coupling
• Fine structure of two-electron states in single and double quantum dots
• Quantum computation in semiconductor quantum dots of electron-spin asymmetric anisotropic exchange
• Swap Action in a Solid-State Controllable Anisotropic Heisenberg Model

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