Perfect State Transfer: Beyond Nearest-Neighbor Couplings

Abstract

In this paper we build on the ideas presented in previous works for perfectly transferring a quantum state between opposite ends of a spin chain using a fixed Hamiltonian. While all previous studies have concentrated on nearest-neighbor couplings, we demonstrate how to incorporate additional terms in the Hamiltonian by solving an Inverse Eigenvalue Problem. We also explore issues relating to the choice of the eigenvalue spectrum of the Hamiltonian, such as the tolerance to errors and the rate of information transfer.

8 pages, 2 figures. Reorganised, more detailed derivations provided and section on rate of information transfer added

References in corpus (12)

• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Mirror Inversion of Quantum States in Linear Registers
• Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
• The Propagation of Quantum Information Through a Spin System
• Spin Chains as Perfect Quantum State Mirrors
• Perfect State Transfer, Effective Gates and Entanglement Generation in Engineered Bosonic and Fermionic Networks
• Quantum state transfer via the ferromagnetic chain in a spatially modulated field
• Perfect quantum state transfer with randomly coupled quantum chains
• Quantum state transfer in imperfect artificial spin networks
• Geometric Effects and Computation in Spin Networks

Cited by in corpus (91)

• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Experimental Perfect Quantum State Transfer
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Communication at the quantum speed limit along a spin chain
• Perfect state transfer in long-range interacting spin chains
• Simulations of Information Transport in Spin Chains
• Robustness of spin-coupling distributions for perfect quantum state transfer
• Perfect Quantum Routing in Regular Spin Networks
• Separability and ground state factorization in quantum spin systems
• Multiuser quantum communication networks
• The Basics of Perfect Communication through Quantum Networks
• Perfect state transfer in networks of arbitrary topology and coupling configuration
• State Transfer and Spin Measurement
• Optimal quantum chain communication by end gates
• Automatic spin-chain learning to explore the quantum speed limit
• Spin chains for robust state transfer: Modified boundary couplings vs. completely engineered chains
• Fast and robust quantum state transfer via a topological chain
• Coherent state transfer via highly mixed quantum spin chains
• Almost perfect state transfer in quantum spin chains
• Decoherence effects on the quantum spin channels
• Optimally designed quantum transport across disordered networks
• Quantum Communication in Spin Systems With Long-Range Interactions
• Fast, high fidelity information transmission through spin chain quantum wires
• Optimized dynamical control of state transfer through noisy spin chains
• Quantum state transfer in optomechanical arrays
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Universal destabilization and slowing of spin transfer functions by a bath of spins
• State transfer in intrinsic decoherence spin channels
• Perfect state transfer over distance-regular spin networks
• NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics
• Programmable high-dimensional Hamiltonian in a photonic waveguide array
• No Laplacian Perfect State Transfer in Trees
• Quantum state transfer in spin chains via shortcuts to adiabaticity
• Transport of Quantum Correlations across a spin chain
• Analytic next-to-nearest neighbour XX models with perfect state transfer and fractional revival
• Effect of perturbations on information transfer in spin chains
• Practicality of spin chain 'wiring' in diamond quantum technologies
• State transfer in dissipative and dephasing environments
• Perfect wave-packet splitting and reconstruction in a one-dimensional lattice
• All Possible Coupling Schemes in XY Spin Chains for Perfect State Transfer
• Iterative quantum state transfer along a chain of nuclear spin qubits
• Perfect quantum state transfer using Hadamard diagonalizable graphs
• Supervised learning of time-independent Hamiltonians for gate design
• Many-body quantum interference on hypercubes
• Enhanced quantum state transfer: Circumventing quantum chaotic behavior
• Quantum Error Correction for State Transfer in Noisy Spin Chains
• Simultaneous multiple-users quantum communication across a spin chain channel
• Interfacing with Hamiltonian Dynamics
• Entanglement generation and perfect state transfer in ferromagnetic qubit chains
• Communication in quantum networks of logical bus topology
• State Transfer in Highly Connected Networks and a Quantum Babinet Principle
• Parallel entangling gate operations and two-way quantum communication in spin chains
• Superradiance at the localization-delocalization crossover in tubular chlorosomes
• Generating Quantum States through Spin Chain Dynamics
• Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
• Combatting the Effects of Disorder in Quantum State Transfer
• Analysis and minimization of bending losses in discrete quantum networks
• Perfect transfer of multiple excitations in quantum networks
• Knitting distributed cluster state ladders with spin chains
• Optimal 1->M universal quantum cloning via spin networks
• 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
• Temperature effects on a network of dissipative quantum harmonic oscillators: collective damping and diffusion processes
• Quasi-perfect state transfer in a bosonic dissipative network
• Perfect Coding for Dephased Quantum State Transfer
• Dynamic generation of entangling wave packets in XY spin system with decaying long range couplings
• Quantum transport efficiency in noisy random-removal and small-world networks
• Continuous dynamical decoupling of spin chains: modulating the spin-environment and spin-spin interactions
• An impurity-induced gap system as a quantum data bus for quantum state transfer
• Achievable Qubit Rates for Quantum Information Wires
• Exact generation of quantum states by the dynamics of spin chains
• Co-Processors for Quantum Devices
• An Infinite Family of Circulant Graphs with Perfect State Transfer in Discrete Quantum Walks
• Transfer of optical signals around bends in two-dimensional linear photonic networks
• Mesoscopic Spin Systems as Quantum Entanglers
• Perfect State Transfer on Weighted Graphs of the Johnson Scheme
• Effects of impurity on fidelity of quantum state transfer via spin channels
• Optimally controlled non-adiabatic quantum state transmission in the presence of quantum noise
• Hidden symmetries enhance quantum transport in Light Harvesting systems
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Bounds on probability of state transfer with respect to readout time and edge weight
• Large effects of boundaries on spin amplification in spin chains
• Information Transfer Fidelity in Spin Networks and Ring-based Quantum Routers
• Transforming spin chains with a continuous driving field
• Control cost and quantum speed limit time in controlled almost exact state transmission in open systems
• Barenco gate implementation using driven two- and three-qubit spin chains
• Memory effects in repeated uses of quantum channels
• Expediting quantum state transfer through the long-range extended XY model