Banchi, L;
Coutinho, G;
Godsil, C;
Severini, S;
(2017)
Pretty good state transfer in qubit chains-The Heisenberg Hamiltonian.
Journal of Mathematical Physics
, 58
(3)
10.1063/1.4978327.
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Abstract
Pretty good state transfer in networks of qubits occurs when a continuous-time quantum walk allows the transmission of a qubit state from one node of the network to another, with fidelity arbitrarily close to 1. We prove that in a Heisenberg chain with n qubits, there is pretty good state transfer between the nodes at the jth and (n − j + 1)th positions if n is a power of 2. Moreover, this condition is also necessary for j = 1. We obtain this result by applying a theorem due to Kronecker about Diophantine approximations, together with techniques from algebraic graph theory.
| Type: | Article |
|---|---|
| Title: | Pretty good state transfer in qubit chains-The Heisenberg Hamiltonian |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1063/1.4978327 |
| Publisher version: | http://doi.org/10.1063/1.4978327 |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1526394 |
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