Perfect state transfer in networks of arbitrary topology and coupling configuration

Abstract

A general formalism of the problem of perfect state transfer is presented. We show that there are infinitely many Hamiltonians which may provide solution to this problem. In a first attempt to give a classification of them we investigate their possible forms and the related dynamics during the transfer. Finally, we show how the present formalism can be used for the engineering of perfect quantum wires of various topologies and coupling configurations.

12 pages, 2 figures, to appear in Phys. Rev. A

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Cited by in corpus (49)

• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Experimental Perfect Quantum State Transfer
• A Faithful Communication Hamiltonian in Photonic Lattices
• The Basics of Perfect Communication through Quantum Networks
• State transfer in static and dynamic spin chains with disorder
• Automatic spin-chain learning to explore the quantum speed limit
• Spin chains for robust state transfer: Modified boundary couplings vs. completely engineered chains
• Reconfigurable optical implementation of quantum complex networks
• Coherent state transfer via highly mixed quantum spin chains
• Quantum state transfer in optomechanical arrays
• Quantum state transfer and time-dependent disorder in Quantum Chains
• State transfer in intrinsic decoherence spin channels
• Perfect state transfer over distance-regular spin networks
• Analytic next-to-nearest neighbour XX models with perfect state transfer and fractional revival
• State transfer in dissipative and dephasing environments
• Iterative quantum state transfer along a chain of nuclear spin qubits
• Variance squeezing and entanglement of the XX central spin model
• Interplay between speed and fidelity in off-resonant quantum-state transfer protocols
• Excitation- and state-transfer through spin chains in the presence of spatially correlated noise
• Spin Star as Switch for Quantum Networks
• Controlled quantum state transfer in $XX$ spin chains at the Quantum Speed Limit
• State Transfer in Highly Connected Networks and a Quantum Babinet Principle
• Communication in quantum networks of logical bus topology
• NOON States via Quantum Walk of Bound Particles
• Mixed-state quantum transport in correlated spin networks
• Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings
• Analysis and minimization of bending losses in discrete quantum networks
• Perfect transfer of multiple excitations in quantum networks
• Statistics of a quantum-state-transfer Hamiltonian in the presence of disorder
• Robustness of spin-chain state-transfer schemes
• Fast high-fidelity multi-qubit state transfer with long-range interactions
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions
• Quasi-perfect state transfer in a bosonic dissipative network
• Transport in deformed centrosymmetric networks
• Temperature effects on a network of dissipative quantum harmonic oscillators: collective damping and diffusion processes
• A New Method for Multi-Bit and Qudit Transfer Based on Commensurate Waveguide Arrays
• Unitary Design of Quantum Spin Networks for Robust Routing, Entanglement Generation, and Phase Sensing
• Quantum walk state transfer on a hypercube
• Transfer of optical signals around bends in two-dimensional linear photonic networks
• Cooling ultracold bosons in optical lattices by spectral transform
• Scalable Structure For Chiral Quantum Routing
• Effects of impurity on fidelity of quantum state transfer via spin channels
• Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Scalable Quantum Spin Networks from Unitary Construction
• Programmable Quantum State Transfer
• Search and state transfer between hubs by quantum walks
• Transfer and routing of Gaussian states through quantum complex networks with and without community structure
• A switching approach for perfect state transfer over a scalable and routing enabled network architecture with superconducting qubits
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer