Perfect quantum state transfer with spinor bosons on weighted graphs

Abstract

A duality between the properties of many spinor bosons on a regular lattice and those of a single particle on a weighted graph reveals that a quantum particle can traverse an infinite hierarchy of networks with perfect probability in polynomial time, even as the number of nodes increases exponentially. The one-dimensional `quantum wire' and the hypercube are special cases in this construction, where the number of spin degrees of freedom is equal to one and the number of particles, respectively. An implementation of near-perfect quantum state transfer across a weighted parallelepiped with ultracold atoms in optical lattices is discussed.

4 pages, 2 figures, revtex

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Cited by in corpus (28)

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• Quantum Networks on Cubelike Graphs
• Quantum walks on quotient graphs
• Universal quantum computation by discontinuous quantum walk
• Adiabatic Quantum Transport in a Spin Chain with a Moving Potential
• Theoretical analysis of perfect quantum state transfer with superconducting qubits
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• Iterative quantum state transfer along a chain of nuclear spin qubits
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Coherent ground-state transport of neutral atoms
• Interplay between speed and fidelity in off-resonant quantum-state transfer protocols
• Spin Star as Switch for Quantum Networks
• Mixed-state quantum transport in correlated spin networks
• Quantum efficiencies in finite disordered networks connected by many-body interactions
• High-dimensional quantum state transfer in a noisy network environment
• Temperature effects on a network of dissipative quantum harmonic oscillators: collective damping and diffusion processes
• General Quantum State Swap: an XY model analysis
• Storing quantum states in bosonic dissipative networks
• Robust and Fast Quantum State Transfer on Superconducting Circuits
• Perfect Function Transfer in two- and three- dimensions without initialization
• Quantum Walks on Graphs of the Ordered Hamming Scheme and Spin Networks
• Perfect quantum state transfer of hard-core bosons on weighted path graphs
• Cooling ultracold bosons in optical lattices by spectral transform
• Effects of impurity on fidelity of quantum state transfer via spin channels
• Perfect state transfer, graph products and equitable partitions
• Perfect state transfer on quotient graphs
• Perfect State Transfer on Signed Graphs
• Reshaping coupled bosonic networks: A bipartite-graph framework for optimal quantum excitation transfer