From perfect to fractal transmission in spin chains

Abstract

Perfect state transfer is possible in modulated spin chains, imperfections however are likely to corrupt the state transfer. We study the robustness of this quantum communication protocol in the presence of disorder both in the exchange couplings between the spins and in the local magnetic field. The degradation of the fidelity can be suitably expressed, as a function of the level of imperfection and the length of the chain, in a scaling form. In addition the time signal of fidelity becomes fractal. We further characterize the state transfer by analyzing the spectral properties of the Hamiltonian of the spin chain.

8 pages, 10 figures, published version

References in corpus (16)

• Quantum Cryptography
• Random Matrix Theories in Quantum Physics: Common Concepts
• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
• The Propagation of Quantum Information Through a Spin System
• Fractal Conductance Fluctuations in a Soft Wall Stadium and a Sinai Billiard
• Information-capacity description of spin-chain correlations
• Interfacing quantum optical and solid state qubits
• Quantum state transmission via a spin ladder as a robust data bus
• Emergence of Quantum Chaos in Quantum Computer Core and How to Manage It
• Efficient Quantum Computing of Complex Dynamics
• Solid-State Quantum Communication With Josephson Arrays
• Quantum state transfer in imperfect artificial spin networks
• Fractal Noise in Quantum Ballistic and Diffusive Lattice Systems

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