Abstract
The issue of quantum states’ transfer – in particular, for so-called Perfect State Transfer (PST) – in the networks represented by the spin chains seems to be one of the major concerns in quantum computing. Especially, in the context of future communication methods that can be used in broadly defined computer science. The paper presents a definition of Hamiltonian describing the dynamics of quantum data transfer in one-dimensional spin chain, which is able to transfer the state of unknown qudits. The main part of the paper is the discussion about possibility of entangled states’ perfect transfer, in particular, for the generalized Bell states for qudits. One of the sections also contains the results of numerical experiments for the transmission of quantum entangled state in a noisy quantum channel.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bose, S.: Quantum Communication through an Unmodulated Spin Chain. Phys. Rev. Lett. 91, 207901 (2003)
Bose, S.: Quantum Communication through Spin Chain Dynamics: an Introductory Overview. Contemporary Physics 48, 13–30 (2007)
Kay, A.: A Review of Perfect State Transfer and its Application as a Constructive Tool. International Journal of Quantum Information 8(4), 641–676 (2012)
Albanese, C., Christandl, M., Datta, N., Ekert, A.: Mirror Inversion of Quantum States in Linear Registers. Phys. Rev. Lett. 93, 230502 (2004)
Karbach, P., Stolz, J.: Spin chains as perfect quantum state mirrors. Phys. Rev. A 72, 030301(R) (2005)
Wu, L.-A., Miranowicz, A., Wang, X., Liu, Y.-X., Nori, F.: Perfect function transfer and interference effects in interacting boson lattices. Phys. Rev. A 80, 012332 (2009)
Vinet, L., Zhedanov, A.: How to construct spin chains with perfect state transfer. Phys. Rev. A 85, 012323 (2012)
Bruderer, M., Franke, K., Ragg, S., Belzig, W., Obreschkow, D.: Exploiting boundary states of imperfect spin chains for high-fidelity state transfer. Phys. Rev. A 85, 022312 (2012)
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum Entanglement. Rev. Mod. Phys. 81, 865–942 (2009)
Christandl, M., Datta, N., Dorlas, T.C., Ekert, A., Kay, A., Landahl, A.J.: Perfect transfer of arbitrary states in quantum spin networks. Phys. Rev. A 71, 032312 (2005)
Sawerwain, M., Gielerak, R.: Transfer of quantum continuous variable and qudit states in quantum networks. In: Kwiecień, A., Gaj, P., Stera, P. (eds.) CN 2012. CCIS, vol. 291, pp. 63–72. Springer, Heidelberg (2012)
Ming-Ming, W., Xiu-Bo, C., Shou-Shan, L., Yi-Xian, Y.: Efficient entanglement channel construction schemes for a theoretical quantum network model with d-level system. Quantum Information Processing 11(6), 1715–1739 (2012)
Gupta, G., Panigrahi, P.: Deterministic Bell State Discrimination. arXiv:quant-ph/0504183 (2005)
Gupta, M., Pathak, P., Srikanth, S., Panigrahi, P.: Non-destructive Orthonormal State Discrimination. arXiv:quant-ph/0507096 (2005)
Gawron, P., Klamka, J., Winiarczyk, R.: Noise Effects in the Quantum Search Algorithm from the Viewpoint of Computational Complexity. Int. J. Appl. Math. Comput. Sci. 22(2), 493–499 (2012)
Fukuda, F., Holevo, H.: On Weyl-covariant channels. arXiv:quant-ph/0510148 (2005)
Sawerwain, M.: Perfect states transfers for qudits chains (in preparation)
Kowalewska-Kudłaszyk, A., Leoński, W., Peřina Jr., J.: Photon-number entangled states generated in Kerr media with optical parametric pumping. Phys. Rev. A 83, 052326 (2011)
Leoński, W., Kowalewska-Kudłaszyk, A.: Quantum scissors – finite-dimensional states engineering. In: Progress in Optics, vol. 56, pp. 131–185 (2011)
Kowalewska-Kudłaszyk, A., Leoński, W., Peřina Jr., J.: Generalized Bell states generation in a parametrically excited nonlinear couple. Physica Scripta 147, 014016 (2012)
Klamka, J., Węgrzyn, S., Znamirowski, L., Winiarczyk, R., Nowak, S.: Nano and quantum systems of informatics. Nano and quantum systems of informatics. Bulletin of the Polish Academy of Sciences. Technical Sciences 52(1), 1–10 (2004)
Klamka, J., Gawron, P., Miszczak, J., Winiarczyk, R.: Structural programming in quantum octave. Bulletin of the Polish Academy of Sciences. Technical Sciences 58(1), 77–88 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sawerwain, M., Wiśniewska, J. (2013). Transfers of Entangled Qudit States in Quantum Networks. In: Kwiecień, A., Gaj, P., Stera, P. (eds) Computer Networks. CN 2013. Communications in Computer and Information Science, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38865-1_35
Download citation
DOI: https://doi.org/10.1007/978-3-642-38865-1_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38864-4
Online ISBN: 978-3-642-38865-1
eBook Packages: Computer ScienceComputer Science (R0)