Universal Quantum Computation with Hybrid Spin-Majorana Qubits

Abstract

We theoretically propose a set of universal quantum gates acting on a hybrid qubit formed by coupling a quantum dot spin qubit and Majorana fermion qubit. First, we consider a quantum dot tunnel-coupled to two topological superconductors. The effective spin-Majorana exchange facilitates a hybrid CNOT gate for which either qubit can be the control or target. The second setup is a modular scalable network of topological superconductors and quantum dots. As a result of the exchange interaction between adjacent spin qubits, a CNOT gate is implemented that acts on neighboring Majorana qubits, and eliminates the necessity of inter-qubit braiding. In both setups the spin-Majorana exchange interaction allows for a phase gate, acting on either the spin or the Majorana qubit, and for a SWAP or hybrid SWAP gate which is sufficient for universal quantum computation without projective measurements.

13 pages, 5 figures

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Cited by in corpus (74)

• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• The germanium quantum information route
• Semiconductor Qubits In Practice
• Distinguishing a Majorana zero mode using spin resolved measurements
• A Short Introduction to Topological Quantum Computation
• Measuring Majorana non-locality and spin structure with a quantum dot
• Majorana Kramers pairs in higher-order topological insulators
• Quantum Dot Arrays in Silicon and Germanium
• Roadmap to Majorana surface codes
• Majorana nanowires for topological quantum computation
• On controlling the bound states in quantum-dot hybrid-nanowire
• Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
• Spin-dependent coupling between quantum dots and topological quantum wires
• Hard superconducting gap in germanium
• Majorana Fermions in Magnetic Chains
• Readout of Majorana Qubits
• Parity-controlled $2\pi$ Josephson effect mediated by Majorana Kramers pairs
• Braiding errors in interacting Majorana quantum wires
• Lightly-strained germanium quantum wells with hole mobility exceeding one million
• Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
• Cooper-pair splitting in two parallel InAs nanowires
• Helical Liquids in Semiconductors
• Yu-Shiba-Rusinov qubit
• Universal quantum computing using single-particle discrete-time quantum walk
• Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires
• Ballistic supercurrent discretization and micrometer-long Josephson coupling in germanium
• Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
• Low-field Topological Threshold in Majorana Double Nanowires
• Parity-to-charge conversion for readout of topological Majorana qubits
• Detecting Topological Superconductivity with ${\phi }_0$ Josephson Junctions
• Quantum Computing with Majorana Kramers Pairs
• Charge-4e supercurrent in a two-dimensional InAs-Al superconductor-semiconductor heterostructure
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Manipulating Majorana zero modes in double quantum dots
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Robust Majorana magic gates via measurements
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Entangling transmons with low-frequency protected superconducting qubits
• High-fidelity two-qubit gates of hybrid superconducting-semiconducting singlet-triplet qubits
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Quasiparticle poisoning effects on the dynamics of topological Josephson junctions
• Topological $\pi$-junctions from crossed Andreev reflection in the Quantum Hall regime
• Effects of decoherence on diabatic errors in Majorana braiding
• Simulating topological tensor networks with Majorana qubits
• Universal quantum gate with hybrid qubits in circuit quantum electrodynamics
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Dynamical leakage of Majorana mode into side-attached quantum dot
• Influence of long-range interaction on Majorana zero modes
• Dissipationless Nonlinearity in Quantum Material Josephson Diodes
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Readout of Majorana bound states via Landau-Zener transition
• Leakage of the Majorana quasiparticles in Rashba nanowire deposited on superconducting--normal substrate
• Bound states in the continuum poisoned by Majorana fermions
• Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
• Transport probe of nonadiabatic transition caused by Majorana moving
• A classification of Markovian fermionic Gaussian master equations
• Dynamics of parafermionic states in transport measurements
• Systematic construction of topological-nontopological hybrid universal quantum gates based on many-body Majorana fermion interactions
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Braids and phase gates through high-frequency virtual tunneling of Majorana Zero Modes
• Topological ordering in the Majorana Toric Code
• Majorana corner states in square and Kagome quantum spin liquids
• Quantum dot coupled to topological insulators: The role of edge states
• Interpolated Collision Model Formalism
• Super-Poissonian noise from quasiparticle poisoning in electron transport through a pair of Majorana bound states
• Entangling spin and charge degrees of freedom in semiconductor quantum dots
• Detecting Majorana modes through Josephson junction ring-quantum dot hybrid architectures
• Quantum computation with hybrid parafermion-spin qubits
• Interfacing a topological qubit with a spin qubit in a hybrid quantum system
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Protected hybrid superconducting qubit in an array of gate-tunable Josephson interferometers
• Nonlocal signatures of hybridization between quantum dot and Andreev bound states