Abstract
We study a special inhomogeneous quantum network consisting of a ring of M pseudo-spins (here M = 4) sequentially coupled to one and the same central spin under the influence of given pulse sequences (quantum gate operations). This architecture could be visualized as a quantum Turing machine with a cyclic “tape„. Rather than input-output-relations we investigate the resulting process, i.e. the correlation between one- and two-point expectation values (“correlations„) over various time-steps. The resulting spatiotemporal pattern exhibits many non-classical features including Zeno-effects, violation of temporal Bell-inequalities and quantum parallelism. Due to the strange web of correlations being built-up, specific measurement outcomes for the tape may refer to one or several preparation histories of the head. Specific families of correlation functions are more stable with respect to dissipation than the total wave-function.
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
Ekert, A. and Jozsa, R.: Rev. Mod. Phys. 68 (1996) 1
Barenco, A. et. al.: Phys. Rev. A 52 (1995) 3457
Cirac, J. I. and Zoller, P.: Phys. Rev. Lett. 74 (1995) 4091
Domokos, P., Raimond, J. M., Brune, M. and Haroche, S.: Phys. Rev. A 52 (1995) 3554
Gershenfeld, N. A. and Chuang, I. L.: Science 275 (1997) 350
Shnirman, A., Schön, G. and Hermon, Z.: Phys. Rev. Lett. 79 (1997) 2371
Mahler, G. and Weberruss, V. A.: Quantum Networks: Dynamics of Open Nanostructures, Springer New York (1995); 2nd revised edition (1998)
Ferrero, M. and Santos, E.: Found. Phys. 27 (1997) 765
Schlienz, J. and Mahler, G., Phys. Rev. A 52 (1995) 4396
Deutsch, D.: Proc. Roy. Soc. A 400 (1985) 97
Paz, J. P. and Mahler, G.: Phys. Rev. Lett. 71 (1993) 3235
Obermayer, K., Teich, W. G. and Mahler, G.: Phys. Rev. B 37 (1988) 8111
Misra, B. and Sudershan, E. C. G.: J. Math. Phys. 18 (1977) 756
Knight, P.: Nature 344 (1990) 493
Itano, W. M., Heinzen, D. J., Bollinger, J. J. and Wineland, D. J.: Phys. Rev. A 41 (1990) 2295
Omnes, R.: Rev. Mod. Phys. 64 (1992) 339
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mahler, G., Kim, I. (1999). Correlation between Correlations: Process and Time in Quantum Networks. In: Williams, C.P. (eds) Quantum Computing and Quantum Communications. QCQC 1998. Lecture Notes in Computer Science, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49208-9_6
Download citation
DOI: https://doi.org/10.1007/3-540-49208-9_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65514-5
Online ISBN: 978-3-540-49208-5
eBook Packages: Springer Book Archive