Topologically decoherence-protected qubits with trapped ions

Abstract

We show that trapped ions can be used to simulate a highly symmetrical Hamiltonian with eingenstates naturally protected against local sources of decoherence. This Hamiltonian involves long range coupling between particles and provides a more efficient protection than nearest neighbor models discussed in previous works. Our results open the perspective of experimentally realizing in controlled atomic systems, complex entangled states with decoherence times up to nine orders of magnitude longer than isolated quantum systems.

4 pages

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• Topologically Protected Quantum Coherence in a Superatom
• Compass-Heisenberg Model on the Square Lattice : Spin Order and Excitations
• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Spontaneous symmetry breaking in a generalized orbital compass model
• Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
• Re-examining the directional-ordering transition in the compass model with screw-periodic boundary conditions
• Fidelity susceptibility in the two-dimensional spin-orbit models
• Magnetic properties of nanoscale compass-Heisenberg planar clusters
• Hidden dimer order in the quantum compass model
• Symmetry properties and spectra of the two-dimensional quantum compass model
• Physical implementation of topologically decoherence-protected superconducting qubits
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• Frustration and Entanglement in Compass and Spin-Orbital Models
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• Mechanism of hole propagation in the orbital compass models
• Topological Qubits with Majorana Fermions in Trapped Ions
• Finite-Temperature Néel Ordering of Fluctuations in a Plaquette Orbital Model
• Many-Body Physics with Trapped Ions
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• First-order directional ordering transition in the three-dimensional compass model
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• Generalized spin squeezing inequalities for particles number with quantum fluctuations
• Hole propagation in the orbital compass models
• Decoherence induced by an ordered environment
• Protected ground states in short chains of coupled spins in circuit quantum electrodynamics
• One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization
• Robust preparation and manipulation of protected qubits using time--varying Hamiltonians
• Concurrence-Driven Path Entanglement in Phase-Modified Interferometry