High-probability quantum state transfer among nodes of an open XXZ spin chain

Abstract

This paper concerns the problem of the high probability state transfer among $2^s$ symmetrically placed nodes of the $N$-nodes spins 1/2 chain with the $XXZ$ Hamiltonian. We consider examples with $(N,s)=(4,4)$, $(N,s)=(6,4)$ and $(N,s)=(8,8)$.

19 pages, 11 figures

References in corpus (9)

• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Mirror Inversion of Quantum States in Linear Registers
• Spin Chains as Perfect Quantum State Mirrors
• Long-distance entanglement and quantum teleportation in XX spin chains
• Perfect state transfer in long-range interacting spin chains
• Exact results on spin dynamics and multiple quantum dynamics in alternating spin-1/2 chains with XY-Hamiltonian at high temperatures
• Dynamics of entanglement in a one-dimensional Ising chain
• High-Probability Quantum State Transfer in the Alternating Open Chains of 1/2 Spins with XY Hamiltonian

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• Robust Quantum State Transfer in Random Unpolarized Spin Chains
• Quantum Logic between Remote Quantum Registers
• Robust state transfer with high fidelity in spin-1/2 chains by Lyapunov control
• High probability state transfer in spin-1/2 chains: Analytical and numerical approaches
• The high probability state transfers and entanglements between different nodes of the homogeneous spin 1/2 chain in inhomogeneous external magnetic field
• Quantum Data Bus in Dipolar Coupled Nuclear Spin Qubits
• Remote creation of a one-qubit mixed state through a short homogeneous spin-1/2 chain
• Transfer of 0-order coherence matrix along spin-1/2 chain
• M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
• Remote control of quantum correlations in two-qubit receiver via three-qubit sender
• Nearest-neighbor approximation in one-excitation state evolution along spin-1/2 chain governed by XX-Hamiltonian