Quantum walk on a graph of spins: magnetism and entanglement
arXiv:2006.14883 · doi:10.1103/PhysRevE.103.032123
Abstract
We introduce a model of a quantum walk on a graph in which a particle jumps between neighboring nodes and interacts with independent spins sitting on the edges. Entanglement propagates with the walker. We apply this model to the case of a one dimensional lattice, to investigate its magnetic and entanglement properties. In the continuum limit, we recover a Landau-Lifshitz equation that describes the precession of spins. A rich dynamics is observed, with regimes of particle propagation and localization, together with spin oscillations and relaxation. Entanglement of the asymptotic states follows a volume law for most parameters (the coin rotation angle and the particle-spin coupling).
arXiv comment50 pages, 114 references, 30 figures
References in corpus (69)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantum Mechanics helps in searching for a needle in a haystack
- Elementary gates for quantum computation
- Quantum algorithm for solving linear systems of equations
- Concentrating Partial Entanglement by Local Operations
- Quantum Annealing in the Transverse Ising Model
- Quantum state transfer and entanglement distribution among distant nodes in a quantum network
- Persistent entanglement in arrays of interacting particles
- Spin Transfer Torques
- Many-body localization, thermalization, and entanglement
- Measurement-based quantum computation with cluster states
- Average Entropy of a Subsystem
- Adiabatic Quantum Computing
- Quantum Communication Through an Unmodulated Spin Chain
- Quantum random walks - an introductory overview
- Perfect state transfer in quantum spin networks
- A Quantum Random Walk Search Algorithm
- Universal Quantum Computation with the Exchange Interaction
- Quantum entanglement in condensed matter systems
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Quantum error correction in a solid-state hybrid spin register
- Observation of topologically protected bound states in a one dimensional photonic system
- Two-particle bosonic-fermionic quantum walk via 3D integrated photonics
- Unconditional quantum teleportation between distant solid-state qubits
- Exploring Topological Phases With Quantum Walks
- From quantum cellular automata to quantum lattice gases
- Quantum Computation by Adiabatic Evolution
- Universal quantum computation using the discrete time quantum walk
- Anderson localization of entangled photons in an integrated quantum walk
- A 10-qubit solid-state spin register with quantum memory up to one minute
- Fokker-Planck and Landau-Lifshitz-Bloch Equations for Classical Ferromagnets
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Discrete single-photon quantum walks with tunable decoherence
- Cluster-state quantum computation
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Controlling discrete quantum walks: coins and intitial states
- Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state
- Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
- Entanglement as a signature of quantum chaos
- Environment-assisted quantum transport in a 10-qubit network
- Quantum Walk on a Line with Two Entangled Particles
- Topological insulator and the Dirac equation
- Thin-Film Magnetization Dynamics on the Surface of a Topological Insulator
- Observing Topological Invariants Using Quantum Walk in Superconducting Circuits
- Topological quantum walks in momentum space with a Bose-Einstein condensate
- Effective gauge field theory of spintronics
- Two-dimensional topological quantum walks in the momentum space of structured light
- Quantum Walks as simulators of neutrino oscillations in vacuum and matter
- Entanglement production in bosonic systems: Linear and logarithmic growth
- Complementarity and quantum walks
- Discrete-time quantum walks: continuous limit and symmetries
- Perfect state transfer by means of discrete-time quantum walk search algorithms on highly symmetric graphs
- Thermalization of entanglement
- The Dirac equation as a quantum walk over the honeycomb and triangular lattices
- The Thirring quantum cellular automaton
- Quantum walk as a simulator of nonlinear dynamics: Nonlinear Dirac equation and solitons
- Quantum Walks, Weyl equation and the Lorentz group
- Solutions of a two-particle interacting quantum walk
- Inertia effects in the real-time dynamics of a quantum spin coupled to a Fermi sea
- Skyrmion collapse
- Entanglement and interaction in a topological quantum walk
- Insights from Quantum Information into Fundamental Physics
- Interacting quantum walk on a graph
- How to Compute Using Quantum Walks
- On quantum invariants and the graph isomorphism problem
- Thermal state entanglement entropy on a quantum graph
- Optically pumped spin polarization as a probe of many-body thermalization