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Quantum Information Processing

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01-06-2016

Evaluation of the performance of two state-transfer Hamiltonians in the presence of static disorder

Authors: A. K. Pavlis, G. M. Nikolopoulos, P. Lambropoulos

Published in: Quantum Information Processing | Issue 6/2016

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Abstract

We analyze the performance of two quantum-state-transfer Hamiltonians in the presence of diagonal and off-diagonal disorders, and in terms of different measures. The first Hamiltonian pertains to a fully engineered chain, and the second to a chain with modified boundary couplings. The task is to find which Hamiltonian is the most robust to given levels of disorder and irrespective of the input state. In this respect, it is shown that the performances of the two protocols are approximately equivalent.

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Strictly speaking, for the spin-analogue Hamiltonian one does not need the assumption for the chain to be initially prepared in the ground (vacuum) state. State transfer is expected to take place irrespective of the initial state of the chain, provided that the input spin (site) is initially decorrelated from the rest of the chain (e.g., see chapter 2 in [1]). The main reason is that the evolution operator at the transfer time reduces to a permutation (up perhaps to an unimportant global phase).

Nikolopoulos, G.M., Jex, I. (eds.): Quantum State Transfer and Network Engineering. Quantum Science and Technology, Springer, Heidelberg (2014)

Nikolopoulos, G.M., Petrosyan, D., Lambropoulos, P.: Electron wavepacket propagation in a chain of coupled quantum dots. J. Phys. Condens. Matter 16, 4991–5002 (2004)ADSCrossRef

Nikolopoulos, G.M., Petrosyan, D., Lambropoulos, P.: Coherent electron wavepacket propagation and entanglement in array of coupled quantum dots. Europhys. Lett. 65, 297–303 (2004)ADSCrossRef

Christandl, M., Datta, N., Ekert, A., Landahl, A.J.: Perfect state transfer in quantum spin networks. Phys. Rev. Lett. 92, 187902 (2004)ADSCrossRef

Banchi, L., Apollaro, T.J.G., Cuccoli, A., Vaia, R., Verrucchi, P.: Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum systems. Phys. Rev. A 82, 052321 (2010)ADSCrossRef

Banchi, L., Apollaro, T.J.G., Cuccoli, A., Vaia, R., Verrucchi, P.: Long quantum channels for high-quality entanglement transfer. New J. Phys. 13, 123006 (2011)ADSCrossRef

Banchi, L., Bayat, A., Verrucchi, P., Bose, S.: Nonperturbative entangling gates between distant qubits using uniform cold atom chains. Phys. Rev. Lett. 106, 140501 (2011)ADSCrossRef

Zwick, A., Álvarez, G.A., Stolze, J., Osenda, O.: Spin chains for robust state transfer: modified boundary couplings versus completely engineered chains. Phys. Rev. 85, 012318 (2012)ADSCrossRef

Stolze, J., Álvarez, G.A., Osenda, O., Zwick, A.: Robustness of spin-chain state-transfer schemes. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 149–182. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef

10.

Nikolopoulos, G.M.: Statistics of a quantum-state-transfer Hamiltonian in the presence of disorder. Phys. Rev. A 87, 042311 (2013)ADSCrossRef

11.

Jordan, P., Wigner, E.: Über das Paulische Äquivalenzverbot. Z. Phys. 47, 631–651 (1928)ADSCrossRefMATH

12.

Sachdev, S.: Quantum Phase Transitions. Cambridge University Press, Cambridge (1999)MATH

13.

Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH

14.

Petrosyan, D., Nikolopoulos, G.M., Lambropoulos, P.: State transfer in static and dynamic spin chains with disorder. Phys. Rev. A 81, 042307 (2010)ADSCrossRef

15.

Bose, S.: Quantum communication through an unmodulated spin chain. Phys. Rev. Lett. 91, 207901 (2003)ADSCrossRef

16.

Bose, S.: Quantum communication through spin chain dynamics: an introductory overview. Contemp. Phys. 48, 13–30 (2007)ADSCrossRef

17.

Romito, A., Fazio, R., Bruder, C.: Solid-state quantum communication with Josephson arrays. Phys. Rev. B 71, 100501(R) (2005)ADSCrossRef

18.

Yang, S., Bayat, A., Bose, S.: Spin-state transfer in laterally coupled quantum-dot chains with disorders. Phys. Rev. A 82, 022336 (2010)ADSCrossRef

19.

Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245–2248 (1998)ADSCrossRef

20.

Bayat, A., Bose, S.: Information-transferring ability of the different phases of a finite XXZ spin chain. Phys. Rev. A 81, 012304 (2010)ADSCrossRef

21.

Horodecki, M., Horodecki, P., Horodecki, R.: General teleportation channel, singlet fraction, and quasidistillation. Phys. Rev. A 60, 1888–1898 (1999)ADSMathSciNetCrossRefMATH

22.

Massar, S., Popescu, S.: Optimal extraction of information from finite quantum ensembles. Phys. Rev. Lett. 74, 1259–1263 (1995)ADSMathSciNetCrossRefMATH

23.

De Chiara, G., Rossini, D., Montangero, S., Fazio, R.: From perfect to fractal transmission in spin chains. Phys. Rev A 72, 012323 (2005)ADSCrossRef

24.

Cappellaro, P.: Implementation of state transfer Hamiltonians in spin chains with magnetic resonance techniques. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 183–222. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef

25.

Bellec, M., Nikolopoulos, G.M., Tzortzakis, S.: State transfer hamiltonians in photonic lattices. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 223–245. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef

Title: Evaluation of the performance of two state-transfer Hamiltonians in the presence of static disorder
Authors: A. K. Pavlis
G. M. Nikolopoulos
P. Lambropoulos
Publication date: 01-06-2016
Publisher: Springer US
Published in: Quantum Information Processing / Issue 6/2016
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-016-1287-y

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