Coupled superconducting spin qubits with spin-orbit interaction
arXiv:2205.03843 · doi:10.1103/PhysRevB.106.115411
Abstract
Superconducting spin qubits, also known as Andreev spin qubits, promise to combine the benefits of superconducting qubits and spin qubits defined in quantum dots. While most approaches to control these qubits rely on controlling the spin degree of freedom via the supercurrent, superconducting spin qubits can also be coupled to each other via the superconductor to implement two-qubit quantum gates. We theoretically investigate the interaction between superconducting spin qubits in the weak tunneling regime and concentrate on the effect of spin-orbit interaction (SOI), which can be large in semiconductor-based quantum dots and thereby offers an additional tuning parameter for quantum gates. We find analytically that the effective interaction between two superconducting spin qubits consists of Ising, Heisenberg, and Dzyaloshinskii-Moriya interactions and can be tuned by the superconducting phase difference, the tunnel barrier strength, or the SOI parameters. The Josephson current becomes dependent on SOI and spin orientations. We demonstrate that this interaction can be used for fast controlled phase-flip gates with a fidelity >99.99%. We propose a scalable network of superconducting spin qubits which is suitable for implementing the surface code.
References in corpus (73)
- Quantum Computation with Quantum Dots
- Spins in few-electron quantum dots
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- New Perspectives for Rashba Spin-Orbit Coupling
- Coherent Quantum Dynamics of a Superconducting Flux Qubit
- Coherent control of a single electron spin with electric fields
- An addressable quantum dot qubit with fault-tolerant control fidelity
- Semiconductor Spin Qubits
- Spin-orbit qubit in a semiconductor nanowire
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Computing with spin qubits at the surface code error threshold
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- Prospects for Spin-Based Quantum Computing
- Engineering cryogenic setups for 100-qubit scale superconducting circuit systems
- Universal quantum computation with spin-1/2 pairs and Heisenberg exchange
- Evidence of topological superconductivity in planar Josephson junctions
- Quantum codes on a lattice with boundary
- Electric Dipole Induced Spin Resonance in Quantum Dots
- Orbital mechanisms of electron spin manipulation by an electric field
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
- A Crossbar Network for Silicon Quantum Dot Qubits
- Coherent manipulation of Andreev states in superconducting atomic contacts
- Strong Spin-Orbit Interaction and Helical Hole States in Ge/Si Nanowires
- Self-consistent description of Andreev bound states in Josephson quantum dot devices
- Parity lifetime of bound states in a proximitized semiconductor nanowire
- Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling
- Coherent manipulation of an Andreev spin qubit
- Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
- Direct microwave measurement of Andreev-bound-state dynamics in a proximitized semiconducting nanowire
- Andreev quantum dots for spin manipulation
- Spin-Dependent Josephson Current through Double Quantum Dots and Measurement of Entangled Electron States
- Finite bias Cooper pair splitting
- Ultrafast Hole Spin Qubit with Gate-Tunable Spin-Orbit Switch
- Spin-orbit interaction in InSb nanowires
- Spin-Orbit Mediated Control of Spin Qubits
- Pauli Spin Blockade in the Presence of Strong Spin-Orbit Coupling
- Evidence for long-lived quasiparticles trapped in superconducting point contacts
- Superconducting Spin Qubits
- Physical Optimization of Quantum Error Correction Circuits
- RKKY interaction in carbon nanotubes and graphene nanoribbons
- Strong spin-orbit interaction and -factor renormalization of hole spins in Ge/Si nanowire quantum dots
- Nonlocal Josephson effect in Andreev molecules
- Superconducting proximity effect in epitaxial Al-InAs heterostructures
- Symmetry of anisotropic exchange interactions in semiconductor nanostructures
- Supercurrent Spectroscopy of Andreev States
- Spin-Orbit Coupling and Time-Reversal Symmetry in Quantum Gates
- Electrical tuning of Rashba spin-orbit interaction in multigated InAs nanowires
- Andreev spin qubits in multichannel Rashba nanowires
- Spin-dependent coupling between quantum dots and topological quantum wires
- Josephson current through a quantum dot with spin-orbit coupling
- Electric-field dependent g-factor anisotropy in Ge-Si core-shell nanowire quantum dots
- Exchange-based CNOT gates for singlet-triplet qubits with spin orbit interaction
- Fine energy splitting of overlapping Andreev bound states in multi-terminal superconducting nanostructures
- Hole Spin Qubits in Ge Nanowire Quantum Dots: Interplay of Orbital Magnetic Field, Strain, and Growth Direction
- Cooper-pair splitting in two parallel InAs nanowires
- Real-time observation of Cooper pair splitting showing strong non-local correlations
- Transport signatures of an Andreev molecule in a quantum dot -- superconductor -- quantum dot setup
- Dominant non-local superconducting proximity effect due to electron-electron interaction in a ballistic double nanowire
- Signatures of nonlocal Cooper-pair transport and of a singlet-triplet transition in the critical current of a double-quantum-dot Josephson junction
- Spin-orbit mediated anisotropic spin interaction in interacting electron systems
- Detecting Topological Superconductivity with Josephson Junctions
- Electrically-controllable RKKY interaction in semiconductor quantum wires
- Exchange-interaction of two spin qubits mediated by a superconductor
- Asymmetric Little-Parks Oscillations in Full Shell Double Nanowires
- Josephson junctions in double nanowires bridged by in-situ deposited superconductors
- Control of the Two-Electron Exchange Interaction in a Nanowire Double Quantum Dot
- High-fidelity and robust two-qubit gates for quantum-dot spin qubits in silicon
- Anisotropic exchange coupling in a nanowire double quantum dot with strong spin-orbit coupling
- A Mesoscopic Resonating Valence Bond system on a triple dot
- Long-range exchange interaction between spin qubits mediated by a superconducting link at finite magnetic field
- Gate control, g-factors and spin orbit energy of p-type GaSb nanowire quantum dot devices
Cited by in corpus (18)
- Direct manipulation of a superconducting spin qubit strongly coupled to a transmon qubit
- Controlled crossed Andreev reflection and elastic co-tunneling mediated by Andreev bound states
- Hard superconducting gap in germanium
- Spectroscopy of spin-split Andreev levels in a quantum dot with superconducting leads
- Strong tunable coupling between two distant superconducting spin qubits
- A gate tunable transmon qubit in planar Ge
- Phase-dependent Andreev molecules and superconducting gap closing in coherently coupled Josephson junctions
- High-fidelity two-qubit gates of hybrid superconducting-semiconducting singlet-triplet qubits
- Blueprint for all-to-all connected superconducting spin qubits
- From perfect to imperfect poor man's Majoranas in minimal Kitaev chains
- Microscopic analysis of proximity-induced superconductivity and metallization effects in superconductor-germanium hole nanowires
- Coupling of quantum-dot states via elastic-cotunneling and crossed Andreev reflection in a minimal Kitaev chain
- Fabry-Perot superconducting diode
- A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads
- Spin-resolved nonlocal transport in proximitized Rashba nanowires
- Relations between normal state nonreciprocal transport and the superconducting diode effect in the trivial and topological phases
- Heavy-hole spin relaxation in quantum dots: Isotropic versus anisotropic effects
- Andreev qubit readout from dynamic interference supercurrent