Proceedings of the International Workshop "Quantum Entanglement in Physical and Information Sciences" Centro di Ricerca Matematica Ennio DeGiorgi, Scuola Normale Superiore; December 14—18, 2004, Pisa, Italy – Eds. C. Macchiavello, R. Fazio and G. M. PalmaNo Access

EFFICIENT AND PERFECT STATE TRANSFER IN QUANTUM CHAINS

DANIEL BURGARTH

Department of Physics & Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom

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SOUGATO BOSE

Department of Physics & Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom

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, and

VITTORIO GIOVANNETTI

NEST-INFM & Scuola Normale Superiore, piazza dei Cavalieri 7, I-56126 Pisa, Italy

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https://doi.org/10.1142/S0219749906001876Cited by:15 (Source: Crossref)

Abstract

We present a communication protocol for chains of permanently coupled qubits which achieves perfect quantum state transfer and which is efficient with respect to the number of chains employed in the scheme. The system consists of M uncoupled identical quantum chains. Local control (gates, measurements) is only allowed at the sending/receiving end of the chains. Under a quite general hypothesis on the interaction Hamiltonian of the qubits, a theorem can be proved which shows that the receiver is able to asymptotically recover the messages by repetitive monitoring of his qubits. We show how two parallel Heisenberg spin chains can be used as quantum wires. Perfect state transfer with a probability of failure lower than P in a Heisenberg chain of N spin-1/2 particles can be achieved in a time scale of the order of .

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References

S. Bose, Phys. Rev. Lett. 91, 207901 (2003). Crossref, Web of Science, Google Scholar
A. Romito, R. Fazio and C. Bruder, Phys. Rev. B 71, 100501 (2005). Crossref, Web of Science, Google Scholar
V. Giovannetti and R. Fazio, Phys. Rev. A 71, 032314 (2005). Crossref, Web of Science, Google Scholar
M. Christandlet al., Phys. Rev. Lett. 92, 187902 (2004). Crossref, Web of Science, Google Scholar
P. Karbach and J. Stolze, Phys. Rev. A 72, 030301(R) (2005). Crossref, Web of Science, Google Scholar
G. M. Nikolopoulos, D. Petrosyan and P. Lambropoulos, J. Phys.: Cond. Matt. 16, 4991 (2004). Crossref, Web of Science, Google Scholar
T. J. Osborne and N. Linden, Phys. Rev. A 69, 052315 (2004). Crossref, Web of Science, Google Scholar
H. L. Haselgrove, Phys. Rev. A 72, 062326 (2005). Crossref, Web of Science, Google Scholar
Y. Liet al., Phys. Rev. A 71, 022301 (2005). Crossref, Web of Science, Google Scholar
M. B. Plenio and F. L. Semiao, New. J. Phys. 7, 73 (2005). Crossref, Web of Science, Google Scholar
D. Burgarth and S. Bose, Phys. Rev. A 71, 052315 (2005). Crossref, Web of Science, Google Scholar
D. Burgarth, V. Giovannetti and S. Bose, J. Phys. A: Math. Gen. 38, 6793 (2005). Crossref, Google Scholar
D. Burgarth and S. Bose, New J. Phys. 7, 135 (2005). Crossref, Web of Science, Google Scholar
C. H. Bennett, D. P. DiVincenzo and J. A. Smolin, Phys. Rev. Lett. 78, 3217 (1997). Crossref, Web of Science, Google Scholar