Perfect Quantum Routing in Regular Spin Networks

Abstract

Regular families of coupled quantum networks are described such the unknown state of a qubit can be perfectly routed from any node to any other node in a time linear in the distance. Unlike previous constructions, the transfer can be achieved perfectly on a network that is local on any specified number of spatial dimensions. The ability to route the state, and the regularity of the networks, vastly improve the utility of this scheme in comparison to perfect state transfer schemes. The structures can also be used for entanglement generation.

4 pages, 3 figures

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Cited by in corpus (50)

• Symmetry Principles in Quantum Systems Theory
• Routing quantum information in spin chains
• The Basics of Perfect Communication through Quantum Networks
• Genuine Multipartite Entanglement Trends in Gapless-gapped Transitions of Quantum Spin Systems
• Heisenberg Spin Bus as a Robust Transmission Line for Perfect State Transfer
• Arbitrary perfect state transfer in $d$-level spin chains
• Quantum routing of single optical photons with a superconducting flux qubit
• Perfect State Transfer in Two and Three Dimensional Structures
• Measurement induced dynamics for spin chain quantum communication and its application for optical lattices
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• Spectra of Perfect State Transfer Hamiltonians on Fractal-Like Graphs
• Quantum Error Correction for State Transfer in Noisy Spin Chains
• Simultaneous multiple-users quantum communication across a spin chain channel
• Static and dynamical quantum correlations in phases of an alternating field XY model
• Multi-photon quantum communication in quantum networks
• Designing pretty good state transfer via isospectral reductions
• Almost perfect transport of an entangled two-qubit state through a spin chain
• Mixed-state quantum transport in correlated spin networks
• Feedback-assisted quantum search by continuous-time quantum walks
• Quantum Correlation with Sandwiched Relative Entropies: Advantageous as Order Parameter in Quantum Phase Transitions
• Entanglement Routers via Wireless Quantum Network Based on Arbitrary Two Qubit Systems
• Analysis and minimization of bending losses in discrete quantum networks
• Chiral quantum router with Rydberg atoms
• Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains
• Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
• Robust and efficient transport of two-qubit entanglement via disordered spin chains
• Voltage-controlled Hubbard spin transistor
• Shared Purity of Multipartite Quantum States
• Emergence of entanglement with temperature and time in factorization-surface states
• Time independent quantum circuits with local interactions
• Parity-dependent state transfer for direct entanglement generation
• Surface Entanglement in Quantum Spin Networks
• Perfect routing of quantum information in regular cavity QED networks
• Exact generation of quantum states by the dynamics of spin chains
• Noise effects in perfect transmission of quantum states
• Ergodicity from Nonergodicity in Quantum Correlations of Low-dimensional Spin Systems
• Effects of oscillatory deformations on the coherent and incoherent quantum transport
• Chiral excitation flows of a multinode network based on synthetic gauge fields
• Enhancing quantum state transfer efficiency in binary-tree spin networks by partially collapsing measurements
• Two-excitation routing via linear quantum channels
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Entanglement Amplification in the Non-Perturbative Dynamics of Modular Quantum Systems
• Approximate quantum fractional revival in paths and cycles
• Scalable Quantum Spin Networks from Unitary Construction
• Perfect State Transfer on Signed Graphs
• Fractional Revival and Association Schemes
• State Transfer on Graphs
• A switching approach for perfect state transfer over a scalable and routing enabled network architecture with superconducting qubits
• Transfer and routing of Gaussian states through quantum complex networks with and without community structure
• Hamiltonian Engineering in Quantum Spin Networks