Perfect Transfer of Arbitrary States in Quantum Spin Networks

By Matthias Christandl, N. Datta, T. Dorlas, A. Ekert, Alastair Kay, A. Landahl. 2004

442 citations recorded by the source corpus.

We propose a class of qubit networks that admit perfect state transfer of any two-dimensional quantum state in a fixed period of time. We further show that such networks can distribute arbitrary entangled states between two distant parties, and can, by using such systems in parallel, transmit the higher-dimensional systems states across the network. Unlike many other schemes for quantum computation and communication, these networks do not require qubit couplings to be switched on and off. When restricted to N-qubit spin networks of identical qubit couplings, we show that 2 log{sub 3}N is the maximal perfect communication distance for hypercube geometries. Moreover, if one allows fixed but different couplings between the qubits then perfect state transfer can be achieved over arbitrarily long distances in a linear chain. This paper expands and extends the work done by Christandl et al., Phys. Rev. Lett. 92, 187902 (2004)

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/6fb9760f87b4e66fd09853cf68f93e5adc6e168c

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Graphs with integral spectrum (2009, background): “It has recently been discovered that integral graphs may be of interest for designing the network topology of perfect state transfer networks, see [1, 8, 7, 12, 14, 20].”
Quantum channels with memory (2005, background): “Quantum channels which naturally acquire a memory are abundant in all branches of quantum information processing: Recently, an unmodulated spin chain has been proposed as a model for short distance quantum communication [3, 4, 5, 6].”
Entanglement entropy in quantum impurity systems and systems with boundaries (2009, methodology): “As a final motivation, we note that recent models for qubit teleportation and quantum state transfer using quantum spin chains [24–34] employ models closely related to the quantum spin models reviewed and in many cases rely on properties of the entanglement arising from the impurities reviewed here.”