Interface Between Topological and Superconducting Qubits

Abstract

We propose and analyze an interface between a topological qubit and a superconducting flux qubit. In our scheme, the interaction between Majorana fermions in a topological insulator is coherently controlled by a superconducting phase that depends on the quantum state of the flux qubit. A controlled phase gate, achieved by pulsing this interaction on and off, can transfer quantum information between the topological qubit and the superconducting qubit.

12 pages, 7 figures. V2: Final version as published in Phys. Rev. Lett, with detailed clarifications in the Appendix

References in corpus (15)

• Topological Insulators
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• A Superconducting Persistent Current Qubit
• Dephasing of a superconducting qubit induced by photon noise
• Proximity effect at the superconductor - topological insulator interface
• Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
• Universal quantum computation on a semiconductor quantum wire network
• Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
• Topological quantum buses: coherent quantum information transfer between topological and conventional qubits
• Anyonic interferometry and protected memories in atomic spin lattices

Cited by in corpus (72)

• New directions in the pursuit of Majorana fermions in solid state systems
• Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Introduction to topological superconductivity and Majorana fermions
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Majorana Fermions in Semiconductor Nanowires
• Flux-controlled quantum computation with Majorana fermions
• Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
• Measurement of intrinsic Dirac fermion cooling on the surface of a topological insulator Bi${}_2$Se${}_3$ using time- and angle-resolved photoemission spectroscopy
• Majorana fermions in superconducting nanowires without spin-orbit coupling
• Unconventional Josephson signatures of Majorana bound states
• Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
• Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
• Quantum information transfer between topological and spin qubit systems
• Topological quantum buses: coherent quantum information transfer between topological and conventional qubits
• Majorana nanowires for topological quantum computation
• Majorana Fermion Surface Code for Universal Quantum Computation
• How quickly can anyons be braided? Or: How I learned to stop worrying about diabatic errors and love the anyon
• Thermoelectric signatures of a Majorana bound state coupled to a quantum dot
• A geometric protocol for a robust Majorana magic gate
• Proposal for Coherent Coupling of Majorana Zero Modes and Superconducting Qubits Using the 4 pi-Josephson Effect
• Quasi-Topological Phases of Matter and Topological Protection
• Understanding degenerate ground states of a protected quantum circuit in the presence of disorder
• Current-phase relation for Josephson effect through helical metal
• Detecting Majorana fermions by nonlocal entanglement between quantum dots
• Signatures of a 4$\pi$-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions
• Disorder-assisted error correction in Majorana chains
• Current noise cross correlation mediated by Majorana bound states
• Using hybrid topological-spin qubit systems for two-qubit-spin gates
• Quantum Simulation Architecture for Lattice Bosons in Arbitrary, Tunable External Gauge Fields
• Robust Majorana magic gates via measurements
• Spontaneous time-reversal symmetry breaking in the boundary Majorana flat bands
• Spectral response of Josephson junctions with low-energy quasiparticles
• Tunable interfaces for realizing universal quantum computation with topological qubits
• Spin Transfer of Quantum Information between Majorana Modes and a Resonator
• Robust interface between flying and topological qubits
• Hybrid Topological Quantum Computation with Majorana Fermions: A Cold Atom Setup
• Enhanced current noise correlations in a Coulomb-Majorana device
• Majorana Entanglement Bridge
• Optimized micromagnet geometries for Majorana zero modes in low g-factor materials
• Processing Quantum Information in Hybrid Topological Qubit and Superconducting Flux Qubit System
• Measurement-only topological quantum computation without forced measurements
• Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference
• Noise threshold and resource cost of fault-tolerant quantum computing with Majorana fermions in hybrid systems
• Topological blockade and measurement of topological charge
• Quantum transport in topological insulator hybrid structures -- A combination of topological insulator and superconductor
• Characterizing Dynamic Majorana Hybridization for Universal Quantum Computing
• Ab initio study of nontrivial topological phases in corundum structured $($M${}_2$O${}_3)/($Al${}_2$O${}_3{)}_5$ multilayers
• Anomalous periodicity and parafermion hybridization in superconducting qubits
• Fidelity in topological superconductors with end Majorana fermions
• Electronic correlation determining correlated plasmons in Sb-doped Bi${}_2$Se${}_3$
• Minimal circuit for a flux-controlled Majorana qubit in a quantum spin-Hall insulator
• Parafermion stabilizer codes
• A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model
• Universal Quantum Computation with Continuous-Variable Abelian Anyons
• Measurement based Controlled Not gate for topological qubits in a Majorana fermion quantum-dot hybrid system
• Topological quantum memory interfacing atomic and superconducting qubits
• Entangled states of two quantum dots mediated by Majorana fermions
• Quantum computing through electron propagation in the edge states of quantum spin Hall systems
• All-electrically reading out and initializing topological qubits with quantum dots
• Physics of the Majorana-superconducting qubit hybrids
• Detecting non-Abelian statistics of Majorana fermions in quantum nanowire networks
• Exact mobility edges in quasiperiodic network models with slowly varying potentials
• Strong Coupling between a Topological Qubit and a Nanomechanical Resonator
• Symmetry-protected gates of Majorana qubits in a high-$T_c$ superconductor platform
• Tight-Binding Energy-Phase Calculation for Topological Josephson Junction Nanowire Architecture
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Interfacing a topological qubit with a spin qubit in a hybrid quantum system
• Topological Properties and Characterizations
• Robust interface-state laser in non-Hermitian micro-resonator arrays
• SWAP gate between a Majorana qubit and a parity-protected superconducting qubit
• Entanglement And Non-Trivial Topologies