High probability state transfer in spin-1/2 chains: Analytical and numerical approaches

Abstract

This article is devoted to the development of analytical and numerical approaches to the problem of the end-to-end quantum state transfer along the spin-1/2 chain using two methods: (a) a homogeneous spin chain with week end bonds and equal Larmor frequencies and (b) a homogeneous spin chain with end Larmor frequencies different from inner ones. A tridiagonal matrix representation of the XY Hamiltonian with nearest neighbor interactions relevant to the quantum state transfer is exactly diagonalized for a combination of the above two methods. In order to take into account interactions of the remote spins we used numerical simulations of the quantum state transfer in ten-node chains. We compare the state transfer times obtained using the two above methods for chains governed by the both XY and XXZ Hamiltonians and using both nearest neighbor and all node interactions.

16 pages, 5 figures

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Cited by in corpus (20)

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• 99%-fidelity ballistic quantum-state transfer through long uniform channels
• Long quantum channels for high-quality entanglement transfer
• Spin chains for robust state transfer: Modified boundary couplings vs. completely engineered chains
• Coherent state transfer via highly mixed quantum spin chains
• Quantum Logic between Remote Quantum Registers
• Diagonalization of quasi-uniform tridiagonal matrices
• Transport of Quantum Correlations across a spin chain
• Robust state transfer with high fidelity in spin-1/2 chains by Lyapunov control
• Perfect State Transfer in Two and Three Dimensional Structures
• Asymptotically perfect efficient quantum state transfer across uniform chains with two impurities
• Remote creation of a one-qubit mixed state through a short homogeneous spin-1/2 chain
• Quantum correlations in different density matrix representations of spin-1/2 open chain
• Bound state and Localization of excitation in many-body open systems
• Perfect routing of quantum information in regular cavity QED networks
• Noise effects in perfect transmission of quantum states
• Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian
• M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
• Enhancing quantum state transfer efficiency in binary-tree spin networks by partially collapsing measurements
• Super-quantum discord in ferromagnetic and antiferromagnetic materials