Perfect state transfer in quantum spin networks.

By Matthias Christandl, N. Datta, A. Ekert, A. Landahl. Physical Review Letters, 2003

971 citations recorded by the source corpus.

We propose a class of qubit networks that admit the perfect state transfer of any quantum state in a fixed period of time. 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 2log3N 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.

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

View Paper: https://www.semanticscholar.org/paper/eb739158478cb8205c1ed010d906ee69335abf55

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Citations in the corpus

Entanglement entropy in quantum impurity systems and systems with boundaries (2009, positive): “As a final motivation, we note that recent models for qubit teleportation and quantum state transfer using quantum spin chains [23, 24, 25, 26, 27, 28, 29, 30, 31] employ models closely related to the quantum spin models reviewed and in many cases rely on properties of the entanglement arising from ”
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].”
Perfect quantum state transfer in a superconducting qubit chain with parametrically tunable couplings. (2018, methodology): “To realize perfect QST, the coupling strengths need to fulfill the relation gj = g ′√ j(N− j) [11], where g′ is a constant.”
Exponential improvement in precision for simulating sparse Hamiltonians (2013, neutral): “, N } [15].”
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].”