Quantum State Transfer in Spin-1 Chains

Abstract

We study the transfer of quantum information through a Heisenberg spin-1 chain prepared in its ground state. We measure the efficiency of such a quantum channel {\em via} the fidelity of retrieving an arbitrarily prepared state and {\em via} the transfer of quantum entanglement. The Heisenberg spin-1 chain has a very rich quantum phase diagram. We show that the phase boundaries are reflected in sharp variations of the transfer efficiency. In the vicinity of the border between the dimer and the ferromagnetic phase (in the conjectured spin-nematic region), we find strong indications for a qualitative change of the excitation spectrum. Moreover, we identify two regions of the phase diagram which give rise to particularly high transfer efficiency; the channel might be non-classical even for chains of arbitrary length, in contrast to spin-1/2 chains.

4 pages, 4 figures, published version

References in corpus (22)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Scaling of Entanglement close to a Quantum Phase Transitions
• Efficient simulation of one-dimensional quantum many-body systems
• Entanglement in a simple quantum phase transition
• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Effective quantum spin systems with ion traps
• An example of the difference between quantum and classical random walks
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• Entanglement dynamics and quantum state transport in spin chains
• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Spin nematics in the bilinear-biquadratic S=1 spin chain
• Time evolution algorithms for Matrix Product States and DMRG
• Dimer state of spin-1 Bosons in an optical lattice
• Quantum state transmission via a spin ladder as a robust data bus
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Effective field theory for S=1 quantum nematic
• Probable absence of a quadrupolar spin-nematic phase in the bilinear-biquadratic spin-1 chain
• Excitation and Entanglement Transfer Versus Spectral Gap
• Renormalization algorithm for the calculation of spectra of interacting quantum systems
• The phase diagram of magnetic ladders constructed from a composite-spin model

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• Simulation of high-spin Heisenberg models in coupled cavities
• Information Transferring Ability of the Different Phases of a finite XXZ Spin Chain
• Quantum Ratchets for Quantum Communication with Optical Superlattices
• State transfer in intrinsic decoherence spin channels
• Arbitrary perfect state transfer in $d$-level spin chains
• State transfer in dissipative and dephasing environments
• Quantum walks and gravitational waves
• Control-limited perfect state transfer, quantum stochastic resonance and many-body entangling gate in imperfect qubit registers
• Iterative quantum state transfer along a chain of nuclear spin qubits
• Coherent ground-state transport of neutral atoms
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Spin Star as Switch for Quantum Networks
• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• Optimal electron propagation on a quantum chain by a topological phase
• High-dimensional quantum state transfer in a noisy network environment
• An effective spin-1 Heisenberg chain in coupled cavities
• Competing valence bond and symmetry breaking Mott states of spin-3/2 fermions on a honeycomb lattice
• Transfer arbitrary photon state along a cavity array without initialization
• Magnetic phases of spin-1 lattice gases with random interactions
• State-Transfer Simulation in Integrated Waveguide Circuits
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
• Emulating quantum state transfer through a spin-1 chain on a 1D lattice of superconducting qutrits
• Canonical Distillation of Entanglement
• Integrated information storage and transfer with a coherent magnetic device
• Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
• Thermal decoherence of long-distance entanglement in spin-1 chains
• Expediting quantum state transfer through the long-range extended XY model
• Goldstone modes and the golden spiral in the ferromagnetic spin-1 biquadratic model