Entangling Spins in Double Quantum Dots and Majorana Bound States

Abstract

We study the coupling between a singlet-triplet qubit realized in a double quantum dot to a topological qubit realized by spatially well-separated Majorana bound states. We demonstrate that the singlet-triplet qubit can be leveraged for readout of the topological qubit and for supplementing the gate operations that cannot be performed by braiding of Majorana bound states. Furthermore, we extend our setup to a network of singlet-triplet and topological hybrid qubits that paves the way to scalable fault-tolerant quantum computing.

References in corpus (116)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Computation with Quantum Dots
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Spins in few-electron quantum dots
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Topological superconductors: a review
• Coupled quantum dots as quantum gates
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Electron spin relaxation by nuclei in semiconductor quantum dots
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Majorana fermions in chains of magnetic atoms on a superconductor
• Storing quantum information for 30 seconds in a nanoelectronic device
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Schrieffer-Wolff transformation for quantum many-body systems
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Electrical control of a long-lived spin qubit in a Si/SiGe quantum dot
• Topological superconducting phase in helical Shiba chains
• Prospects for Spin-Based Quantum Computing
• Universal quantum computation with spin-1/2 pairs and Heisenberg exchange
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Fidelity of quantum operations
• Self-Organized Topological State with Majorana Fermions
• Double quantum dot with integrated charge sensor based on Ge/Si heterostructure nanowires
• Reduced sensitivity to charge noise in semiconductor spin qubits via symmetric operation
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Majorana qubit decoherence by quasiparticle poisoning
• Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Coherent single electron spin control in a slanting Zeeman field
• Majorana box qubits
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Floquet generation of Majorana end modes and topological invariants
• Suppressing Spin Qubit Dephasing by Nuclear State Preparation
• Epitaxy of Advanced Nanowire Quantum Devices
• Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
• Noise suppression using symmetric exchange gates in spin qubits
• Nonlocality of Majorana Modes in Hybrid Nanowires
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Measuring Majorana non-locality and spin structure with a quantum dot
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Majorana bound states in non-homogeneous semiconductor nanowires
• Dispersive Readout of a Few-Electron Double Quantum Dot with Fast rf Gate-Sensors
• Composite Majorana Fermion Wavefunctions in Nanowires
• Engineering a p+ip Superconductor: Comparison of Topological Insulator and Rashba Spin-Orbit Coupled Materials
• Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
• Singlet-triplet decoherence due to nuclear spins in a double quantum dot
• Subtle leakage of a Majorana mode into a quantum dot
• Two-axis control of a singlet-triplet qubit with an integrated micromagnet
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Transition from fractional to Majorana fermions in Rashba nanowires
• Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Dynamical detection of Majorana fermions in current-biased nanowires
• Field Tuning the G-Factor in InAs Nanowire Double Quantum Dots
• Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
• Tunable effective g-factor in InAs nanowire quantum dots
• Dynamic Nuclear Polarization with Single Electron Spins
• Towards realistic implementations of a Majorana surface code
• Failure of protection of Majorana based qubits against decoherence
• Scheme to measure Majorana fermion lifetimes using a quantum dot
• Effects of gate-induced electric fields on semiconductor Majorana nanowires
• Roadmap to Majorana surface codes
• Universal quantum computation on a semiconductor quantum wire network
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Modulation of Majorana-Induced Current Cross-Correlations by Quantum Dots
• Hybridization at superconductor-semiconductor interfaces
• Decay rates for topological memories encoded with Majorana fermions
• Universal Quantum Computation with Hybrid Spin-Majorana Qubits
• Metallization of Rashba wire by superconducting layer in the strong-proximity regime
• Conductance of a proximitized nanowire in the Coulomb blockade regime
• On controlling the bound states in quantum-dot hybrid-nanowire
• Andreev Molecules in Semiconductor Nanowire Double Quantum Dots
• Effective theory approach to the Schrodinger-Poisson problem in semiconductor Majorana devices
• Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
• Long-distance spin-spin coupling via floating gates
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Coherent spin-exchange via a quantum mediator
• Dephasing of Majorana-based qubits
• Charge Relaxation in a Single Electron Si/SiGe Double Quantum Dot
• Correlations between Majorana fermions through a superconductor
• Proximity-induced Josephson $\pi$-Junctions in Topological Insulators
• From Majorana Fermions to Topological Order
• Majorana Fermions in Ge/Si Hole Nanowires
• Decoherence of Majorana qubits by noisy gates
• Hyperfine-phonon spin relaxation in a single-electron GaAs quantum dot
• Proposal for Coherent Coupling of Majorana Zero Modes and Superconducting Qubits Using the 4 pi-Josephson Effect
• Spin-dependent coupling between quantum dots and topological quantum wires
• Supercurrent in a double quantum dot
• Nonadiabatic quantum control of a semiconductor charge qubit
• Spin and Charge Signatures of Topological Superconductivity in Rashba Nanowires
• Quantum gates between capacitively coupled double quantum dot two-spin qubits
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Finite-size effects in a nanowire strongly coupled to a thin superconducting shell
• Exchange-based CNOT gates for singlet-triplet qubits with spin orbit interaction
• Fast spin exchange between two distant quantum dots
• Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
• Second Harmonic Coherent Driving of a Spin Qubit in a Si/SiGe Quantum Dot
• Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Decay of bound states in the continuum of Majorana fermions induced by vacuum fluctuations: Proposal of qubit technology
• Long-Range Interaction between Charge and Spin Qubits in Quantum Dots
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Two-spin relaxation of P-dimers in Silicon
• Low-Error Operation of Spin Qubits with Superexchange Coupling
• Interplay of spin-orbit and hyperfine interactions in dynamical nuclear polarization in semiconductor quantum dots

Cited by in corpus (11)

• The germanium quantum information route
• The Josephson diode effect in supercurrent interferometers
• Majorana nanowires for topological quantum computation
• Lightly-strained germanium quantum wells with hole mobility exceeding one million
• Charge-4e supercurrent in a two-dimensional InAs-Al superconductor-semiconductor heterostructure
• Manipulating Majorana zero modes in double quantum dots
• Entangling transmons with low-frequency protected superconducting qubits
• Majorana mode leaking into a spin-charge entangled double quantum dot
• Majorana zero modes in Y-shape interacting Kitaev wires
• Entangling spin and charge degrees of freedom in semiconductor quantum dots
• Quantum computation with hybrid parafermion-spin qubits