Superconducting Spin Qubits

Abstract

We propose and theoretically investigate spin superconducting qubits. Spin superconducting qubit consists of a single spin confined in a Josephson junction. We show that owing to spin-orbit interaction, superconducting difference across the junction can polarize this spin. We demonstrate that this enables single qubit operations and more complicated quantum gates, where spins of different qubits interact via a mutual inductance of superconducting loop where the junctions are embedded. Recent experimental realizations of Josephson junctions made of semiconductor quantum dots in contact with superconducting leads have shown that the number of electrons in the quantum dot can be tuned by a gate voltage. Spin superconducting qubit is realized when the number of electrons is odd. We discuss the qubit properties at phenomenological level. We present a microscopic theory that enables us to make accurate estimations of the qubit parameters by evaluating the spin-dependent Josephson energy in the framework of fourth-order perturbation theory.

11 pages, 8 figures

References in corpus (11)

• Single-shot read-out of an individual electron spin in a quantum dot
• Driven coherent oscillations of a single electron spin in a quantum dot
• Tunable Supercurrent Through Semiconductor Nanowires
• Supercurrent reversal in quantum dots
• Zeeman energy and spin relaxation in a one-electron quantum dot
• Spin-echo of a single electron spin in a quantum dot
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Pauli Spin Blockade in the Presence of Strong Spin-Orbit Coupling
• Coherence and control of quantum registers based on electronic spin in a nuclear spin bath
• Universal phase shift and non-exponential decay of driven single-spin oscillations
• Splitting of Andreev levels in a Josephson junction by spin-orbit coupling

Cited by in corpus (72)

• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Parity lifetime of bound states in a proximitized semiconductor nanowire
• Coherent manipulation of an Andreev spin qubit
• Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
• Direct manipulation of a superconducting spin qubit strongly coupled to a transmon qubit
• Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions
• Tunable superconducting coupling of quantum dots via Andreev bound states in semiconductor-superconductor nanowires
• Continuous monitoring of a trapped, superconducting spin
• Singlet-doublet transitions of a quantum dot Josephson junction detected in a transmon circuit
• Andreev spin qubits in multichannel Rashba nanowires
• Josephson Current through Semiconductor Nanowire with Spin-Orbit Interaction in Magnetic Field
• Hard superconducting gap in germanium
• Phase-engineering the Andreev band structure of a three-terminal Josephson junction
• Circuit-QED with phase-biased Josephson weak links
• Spectroscopy of spin-split Andreev levels in a quantum dot with superconducting leads
• Interaction of a Nanomagnet with a Weak Superconducting Link
• Quantized Josephson phase battery
• Multiple Andreev reflections and Shapiro steps in a Ge-Si nanowire Josephson junction
• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• Strong tunable coupling between two distant superconducting spin qubits
• Dynamical polarization of the fermion parity in a nanowire Josephson junction
• ${\phi }_0$-Josephson junction in twisted bilayer graphene induced by a valley-polarized state
• Spin-blockade qubit in a superconducting junction
• Non-Hermitian phase-biased Josephson junctions
• Microwave spectroscopy of interacting Andreev spins
• Coupled superconducting spin qubits with spin-orbit interaction
• Microwave spectroscopy of Andreev states in InAs nanowire-based hybrid junctions using a flip-chip layout
• Blueprint for all-to-all connected superconducting spin qubits
• Spin Coherent Manipulation in Josephson Weak Links
• Dynamical parity selection in superconducting weak links
• Magnetization induced dynamics of a Josephson junction coupled to a nanomagnet
• Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$\pi$ transition, ${\varphi }_0$ phase and switch effects
• Direct microwave spectroscopy of Andreev bound states in planar Ge Josephson junctions
• Flux-tunable Kitaev chain in a quantum dot array
• Spin-Weyl quantum unit: theoretical proposal
• Zeeman and Orbital Driven Phase Transitions in Planar Josephson Junctions
• Spin-degeneracy breaking and parity transitions in three-terminal Josephson junctions
• Kapitsa pendulum effects in Josephson junction + nanomagnet under external periodic drive
• Coupling of quantum-dot states via elastic-cotunneling and crossed Andreev reflection in a minimal Kitaev chain
• Electrically modulated SQUID with single Josephson junction coupled by a time-reversal breaking Weyl semimetal thin film
• Supercurrent through an Andreev trimer
• Exchange interaction between two quantum dots coupled through a superconducting island
• Subgap dynamics of double quantum dot coupled between superconducting and normal leads
• Impurity Knight shift in quantum dot Josephson junctions
• Fabry-Perot superconducting diode
• Quartet Tomography in Multiterminal Josephson Junctions
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
• Opportunities for the direct manipulation of a phase-driven Andreev spin qubit
• Current Flow in Topological Insulator Josephson Junctions due to Imperfections
• Andreev spin relaxation time in a shadow-evaporated InAs weak link
• Many-body quantum dynamics of spin-orbit coupled Andreev states in a Zeeman field
• A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads
• Richardson model with complex level structure and spin-orbit coupling for hybrid superconducting islands: stepwise suppression of pairing and magnetic pinning
• YSR Bond Qubit in a Double Quantum Dot with cQED Operation
• Approaching the ultrastrong coupling regime between an Andreev level and a microwave resonator
• Josephson effect in superconductor-normal dot-superconductor junctions driven out of equilibrium by quasiparticle injection
• Fermionic Quantum Simulation on Andreev Bound State Superlattices
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Phase tunable Josephson junction and spontaneous mass current in a spin-orbit coupled Fermi superfluid
• Scalable quantum computation architecture using always-on Ising interactions via quantum feedforward
• Nonequilibrium Andreev resonances in ballistic graphene Andreev interferometers
• Error threshold in active steering protocols for few-qubit systems
• Solitonic Andreev spin qubits from Andreev states in Corbino Josephson junctions
• Non uniform superconductivity in wires with strong spin-orbit coupling
• Andreev spin qubit protected by Franck-Condon blockade
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions
• Andreev molecules at distance
• Slave-spin approach to the Anderson-Josephson quantum dot
• Quantum capacitance and parity switching of a quantum-dot-based Kitaev chain
• Kramers-protected hardware-efficient error correction with Andreev spin qubits