majoranas to dynamically engineer Hamiltonians
arXiv:2004.11385 · doi:10.1103/PRXQuantum.1.020324
Abstract
We propose and analyze a family of periodic braiding protocols in systems with multiple localized Majorana modes () for the purposes of Hamiltonian engineering. The protocols rely on double braidswhich flip the signs of both majoranas, as one is taken all the way around the other. Rapid draiding dynamically suppresses some or all inter-majorana couplings. Protocols suppressing all couplings can drastically reduce residual dynamics within the nearly degenerate many-body subspace ("majorana purification") producing more robust computational subspace. Non-trivial topological models can be achieved by selectively applying draids to some of overlapping (imperfect) majoranas. Importantly, draids can be implemented without having to physically braid majoranas or using projective measurements. In particular, draids can be performed by periodically modulating the coupling between a quantum dot and topological superconducting wire to dynamically suppress the hybridization of majoranas by more than an order of magnitude in current experimental setups.
arXiv comment12 pages, 9 figures
References in corpus (45)
- Anyons in an exactly solved model and beyond
- 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
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Helical liquids and Majorana bound states in quantum wires
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Comments on the Sachdev-Ye-Kitaev model
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Exponential Protection of Zero Modes in Majorana Islands
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Evidence for Majorana bound state in an iron-based superconductor
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- The effects of interactions on the topological classification of free fermion systems
- Quantized Majorana conductance
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- An exact chiral spin liquid with non-Abelian anyons
- Measurement-Only Topological Quantum Computation
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- Pre-thermal phases of matter protected by time-translation symmetry
- Majorana box qubits
- Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
- Arbitrarily Accurate Dynamical Control in Open Quantum Systems
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- Tunneling processes into localized subgap states in superconductors
- Towards realistic implementations of a Majorana surface code
- Roadmap to Majorana surface codes
- Approximating the Sachdev-Ye-Kitaev model with Majorana wires
- Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
- Majorana-Hubbard model on the square lattice
- Low-rank Sachdev-Ye-Kitaev models
- Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
- Spin liquids from Majorana Zero Modes in a Cooper Box
- Phase diagrams of Majorana-Hubbard ladders
- Ubiquitous non-local entanglement with Majorana bound states
- Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
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- Surface codes, quantum circuits, and entanglement phases
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- Dynamical approach to improving Majorana qubits and distinguishing them from trivial bound states
- Physics of the Majorana-superconducting qubit hybrids
- Transport of Majorana Bound State in the presence of telegraph noise
- Shuttling Majorana zero modes in disordered and noisy topological superconductors
- Majorana edge modes in isolated wires