Detecting non-Abelian statistics of topological states on a chain of superconducting circuits
arXiv:1910.12015 · doi:10.1103/PhysRevA.101.022313
Abstract
In view of the fundamental importance and many promising potential applications, non-Abelian statistics of topologically protected states have attracted much attention recently. However, due to the operational difficulties in solid-state materials, experimental realization of non-Abelian statistics is lacking. The superconducting quantum circuit system is scalable and controllable, and thus is a promising platform for quantum simulation. Here we propose a scheme to demonstrate non-Abelian statistics of topologically protected zero-energy edge modes on a chain of superconducting circuits. Specifically, we can realize topological phase transition by varying the hopping strength and magnetic field in the chain, and the realized non-Abelian operation can be used in topological quantum computation. Considering the advantages of the superconducting quantum circuits, our protocol may shed light on quantum computation via topologically protected states.
arXiv comment6 pages, 3 figures
References in corpus (40)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Berry Phase Effects on Electronic Properties
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Topological invariants of time-reversal-invariant band structures
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Artificial gauge potentials for neutral atoms
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Atomic physics and quantum optics using superconducting circuits
- Microwave photonics with superconducting quantum circuits
- Majorana fermions in a tunable semiconductor device
- Light-induced gauge fields for ultracold atoms
- Spin-orbit coupling in quantum gases
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
- Chiral Topological Superconductor From the Quantum Hall State
- Spectral signatures of many-body localization with interacting photons
- Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
- Unconventional superconductivity on a topological insulator
- Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
- Digital quantum simulation of fermionic models with a superconducting circuit
- Search for Majorana fermions in multiband semiconducting nanowires
- Emulating many-body localization with a superconducting quantum processor
- Non-Abelian band topology in noninteracting metals
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- Observation of a Majorana zero mode in a topologically protected edge channel
- Dynamical Casimir effect entangles artificial atoms
- Observation of topological magnon insulator states in a superconducting circuit
- Observation of dynamical quantum phase transition by a superconducting qubit simulation
- Observing Topological Invariants Using Quantum Walk in Superconducting Circuits
- Nonadiabatic holonomic quantum computation with dressed-state qubits
- Fractional Fermions with Non-Abelian Statistics
- Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
- Synthetic spin-orbit coupling and topological polaritons in Janeys-Cummings lattices
- Majorana Fermions in Semiconducting Nanowires on the Top of Fulde-Ferrell Superconductor