Simulation of non-Abelian braiding in Majorana time crystals
arXiv:1712.09243 · doi:10.1103/PhysRevLett.120.230405
Abstract
Discrete time crystals have attracted considerable theoretical and experimental studies but their potential applications have remained unexplored. A particular type of discrete time crystals, termed "Majorana time crystals", is found to emerge in a periodically driven superconducting wire accommodating two different species of topological edge modes. It is further shown that different Majorana edge modes separated in the time lattice can be braided, giving rise to an unforeseen scenario for topologically protected gate operations. The proposed braiding scheme can also generate a magic state that is important for universal quantum computation. This study thus advances the quantum control in discrete time crystals and reveals their great potential arising from their time-domain properties.
10 pages, 6 figures. Finalized version
References in corpus (11)
- Non-Abelian Anyons and Topological Quantum Computation
- Photovoltaic Hall effect in graphene
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Absence of Quantum Time Crystals
- A short introduction to Fibonacci anyon models
- Shortcuts to nonabelian braiding
- Implementation of Clifford gates in the Ising-anyon topological quantum computer
- Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
- Majorana states in inhomogeneous spin ladders
- Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
- Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata
Cited by in corpus (85)
- Observation of anomalous π modes in photonic Floquet engineering
- Coupled-wire construction of static and Floquet second-order topological insulators
- Quantum Time Crystals from Hamiltonians with Long-Range Interactions
- Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
- Floquet dynamical quantum phase transitions
- Discrete Time Quasi-Crystals
- Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
- Measurement-only quantum computation with Majorana corner modes
- Quantum computation via Floquet topological edge modes
- Floquet higher order topological insulator in a periodically driven bipartite lattice
- Observation of pi/2 modes in an acoustic Floquet system
- Topologically protected braiding in a single wire using Floquet Majorana modes
- Topological Time Crystals
- Boundary time crystals in collective -level systems
- Dual topological characterization of non-Hermitian Floquet phases
- Non-Hermitian Floquet topological phases in the double-kicked rotor
- Non-Hermitian Floquet Topological Matter -- A Review
- Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
- Time-quasiperiodic topological superconductors with Majorana Multiplexing
- Fractional Time Crystals
- Time-induced second-order topological superconductors
- Floquet time-crystals as sensors of AC fields
- Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
- Floquet engineering of magnetic topological insulator MnBiTe films
- Arbitrary entangled state transfer via a topological qubit chain
- Photonic Floquet time crystals
- Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
- Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
- Square-root Floquet topological phases and time crystals
- Symmetry Analysis of Anomalous Floquet Topological Phases
- Discrete time crystals in many-body quantum chaos
- Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
- Dissipative Floquet Majorana modes in proximity-induced topological superconductors
- Observing and braiding topological Majorana modes on programmable quantum simulators
- Floquet Majorana bound states in voltage-biased Planar Josephson Junctions
- Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields
- High-fidelity and long-distance entangled-state transfer with Floquet topological edge modes
- parafermion modes in interacting periodically driven superconducting chain
- Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
- Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
- Lack of a genuine time crystal in a chiral soliton model
- Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
- Gottesman-Kitaev-Preskill state preparation using periodic driving
- Time-crystalline Topological Superconductors
- Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
- Entanglement spectrum and entropy in Floquet topological matter
- Topological edge states at Floquet quantum criticality
- Floquet Engineering with Particle Swarm Optimization: Maximizing Topological Invariants
- Anomalous topological edge modes in a periodically-driven trimer lattice
- Floquet band engineering with Bloch oscillations
- Bose-Hubbard realization of fracton defects
- Topological and dynamical features of periodically driven spin ladders
- Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
- Unitary Subharmonic Response and Floquet Majorana Modes
- Intrinsic dissipative Floquet superconductors beyond mean-field theory
- Nonlocal discrete time crystals in periodically driven surface codes
- Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
- Inseparable time-crystal geometries on the Möbius strip
- Sensing with discrete time crystals
- Topologically protected boundary discrete time crystal for a solvable model
- Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
- Topological modes and beyond
- Classical and quantum time crystals in a levitated nanoparticle without drive
- Error-Resilient Floquet Geometric Quantum Computation
- Topological excitations at time vortices in periodically driven systems
- Floquet geometric entangling gates in ground-state manifolds of Rydberg atoms
- Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
- Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
- Time-tronics: from temporal printed circuit board to quantum computer
- Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
- Topological hybrid semimetal phases and anomalous Hall effects in a three dimensional magnetic topological insulator
- Superfluidity vs prethermalisation in a nonlinear Floquet system
- Nonadiabatic braiding of Majorana modes
- Generalized Majorana edge modes in a number-conserving periodically driven -wave superconductor
- Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
- Properties of dissipative Floquet Majorana modes using a quantum dot
- Information scrambling and entanglement dynamics in Floquet Time Crystals
- Quantum-vacuum-protected topological edge polaritons
- Exact analysis of AC sensors based on Floquet time crystals
- Dynamics of Majorana zero modes across hybrid Kitaev chain
- Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States
- Green Function Invariants for Floquet Topological Superconductivity Induced by Proximity Effects
- th-root non-Hermitian Floquet topological insulators
- Discrete time crystal for periodic-field sensing with quantum-enhanced precision
- Quantum repetition codes as building blocks of large period discrete time crystals