Perfect State Transfer in Two and Three Dimensional Structures

Abstract

We introduce a scheme for perfect state transfer in regular two and three dimensional structures. The interactions on the lattices are of XX spin type with uniform couplings. In two dimensions the structure is a hexagonal lattice and in three dimensions it consists of hexagonal planes joined to each other at arbitrary points. We will show that compared to other schemes, i) much less control is needed for routing, ii) the algebra of global control is quite simple, iii) the same kind of control can upload and download qubit states to or from built-in Read-Write (RW) heads. Pivotal use is made of a quantum switch which we introduce and call it Hadamard switch, since its operation depends on the existence of a Hadamard matrix in four dimensions.

4 pages, minor improvements and clarifications

References in corpus (12)

• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Mirror Inversion of Quantum States in Linear Registers
• The Propagation of Quantum Information Through a Spin System
• Robust Quantum State Transfer in Random Unpolarized Spin Chains
• Perfect state transfer on a spin-chain without state initialization
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• Simulations of Information Transport in Spin Chains
• Perfect Quantum Routing in Regular Spin Networks
• Optimal quantum chain communication by end gates
• Directional Coupling for Quantum Computing and Communication
• Initializing an unmodulated spin chain to operate as a high quality quantum data-bus
• Perfect transfer of multiple excitations in quantum networks

Cited by in corpus (19)

• Arbitrary perfect state transfer in $d$-level spin chains
• Spectra of Perfect State Transfer Hamiltonians on Fractal-Like Graphs
• Simultaneous multiple-users quantum communication across a spin chain channel
• Quantum transfer of interacting qubits
• Analysis and minimization of bending losses in discrete quantum networks
• Turnplate of quantum state
• Voltage-controlled Hubbard spin transistor
• Parity-dependent state transfer for direct entanglement generation
• Perfect state transfer on hypercubes and its implementation using superconducting qubits
• Time independent quantum circuits with local interactions
• Perfect routing of quantum information in regular cavity QED networks
• Exact generation of quantum states by the dynamics of spin chains
• Surface Entanglement in Quantum Spin Networks
• Noise effects in perfect transmission of quantum states
• Perfect quantum state transfer of hard-core bosons on weighted path graphs
• Effects of oscillatory deformations on the coherent and incoherent quantum transport
• Enhancing quantum state transfer efficiency in binary-tree spin networks by partially collapsing measurements
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer