Protected ground states in short chains of coupled spins in circuit quantum electrodynamics
arXiv:1602.00299 · doi:10.1103/PhysRevB.96.085121
Abstract
The two degenerate ground states of the anisotropic Heisenberg (XY) spin model of a chain of qubits (pseudo-spins) can encode quantum information, but their degree of protection against local perturbations is known to be only partial. We examine the properties of the system in the presence of non-local spin-spin interactions, possibly emerging from the quantum electrodynamics of the device. We find a phase distinct from the XY phase admitting two ground states which are highly protected against all local field perturbations, persisting across a range of parameters. In the context of the XY chain we discuss how the coupling between two ground states can be used to observe signatures of topological edge states in a small controlled chain of superconducting transmon qubits.
10 pages, 11 figures
References in corpus (17)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Majorana Zero Modes and Topological Quantum Computation
- Digitized adiabatic quantum computing with a superconducting circuit
- Majorana qubit decoherence by quasiparticle poisoning
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- Controllable coupling of superconducting flux qubits
- Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
- Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
- Decoherence of Majorana qubits by noisy gates
- Topologically decoherence-protected qubits with trapped ions
- Passive correction of quantum logical errors in a driven, dissipative system: a blueprint for an analog quantum code fabric
- Majorana states in inhomogeneous spin ladders
- Universal two-qubit interactions, measurement and cooling for quantum simulation and computing
- Decoherence Patterns of Topological Qubits from Majorana Modes