Anderson localisation in spin chains for perfect state transfer

Abstract

Anderson localisation is an important phenomenon arising in many areas of physics, and here we explore it in the context of quantum information devices. Finite dimensional spin chains have been demonstrated to be important devices for quantum information transport, and in particular can be engineered to allow for "perfect state transfer" (PST). Here we present extensive investigations of disordered PST spin chains, demonstrating spatial localisation and transport retardation effects, and relate these effects to conventional Anderson localisation. We provide thresholds for Anderson localisation in these finite quantum information systems for both the spatial and the transport domains. Finally, we consider the effect of disorder on the eigenstate and energy spectrum of our Hamiltonian, where results support our conclusions on the presence of Anderson localisation.

8 pages, 7 figures

References in corpus (10)

• Localization of ultrasound in a three-dimensional elastic network
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
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• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
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Cited by in corpus (9)

• Arbitrary entangled state transfer via a topological qubit chain
• Almost perfect transport of an entangled two-qubit state through a spin chain
• Disorder-safe entanglement transfer through ladder qubit chains
• Combatting the Effects of Disorder in Quantum State Transfer
• Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains
• Robust and efficient transport of two-qubit entanglement via disordered spin chains
• Probing Anderson Localization using the Dynamics of a Qubit
• Topological Thouless pumping in arrays of coupled spin chains
• Memory effects in repeated uses of quantum channels