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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• Chiral quantum router with Rydberg atoms
• Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains
• Robust and efficient transport of two-qubit entanglement via disordered spin chains
• Voltage-controlled Hubbard spin transistor
• Parity-dependent state transfer for direct entanglement generation
• Exact generation of quantum states by the dynamics of spin chains
• Two-excitation routing via linear quantum channels
• Chiral excitation flows of a multinode network based on synthetic gauge fields
• Approximate quantum fractional revival in paths and cycles
• Scalable Quantum Spin Networks from Unitary Construction
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Fractional Revival and Association Schemes
• Perfect State Transfer on Signed 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