Abstract
We present examples of the analysis of quantum entanglement entanglement as an introduction to the fundamental basis for quantum computing and information technology. Pure non-separable two-particle states are analysed using the Schmidt decomposition and we introduce the number of effective eigenmodes as a measure of entanglement. We give an elementary illustration, as well as an overview of more complex calculations we have carried out in situations involving bipartite states in continuous Hilbert space.
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References
For a review of quantum information devices, see H. E. Brandt, Prog. Quantum Electron. 22, 257 (1998), and references therein.
C. P. Williams and S. H. Clearwater, Explorations in Quantum Computing (TELOS, Santa Clara, 1998); and also Ultimate Zero and One: Computing at the Quantum Frontier (Copernicus, New York, 2000).
M. A. Nielson and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, New York, 2000).
C. K. Hong and L. Mandel, Phys. Rev. Lett. 56, 58 (1986), see also a similar idea in C. Adlard, E. R. Pike and S. Sarkar, Phys. Rev. lett. 79, 1585 (1997).
H. Huang and J. H. Eberly, J. Mod. Opt. 40, 915 (1993).
C. K. Law, I. A. Walmsley and J. H. Eberly, Phys. Rev. Lett. 84, 5304 (2000).
H. H. Arnaut and G. Barbosa, Phys. Rev. Lett. 85, 286 (2000).
See other Lectures in this Institute by L. A. Lugiato and A. Gatti.
A. Ekert and P. L. Knight, Am. J. Phys. 63, 415 (1995), and see references therein.
L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, New York, 1995).
S. Parker, S. Bose and M. B. Plenio, Phys. Rev. A 61, 032305 (2000).
R. Grobe, K. Rzązewski and J. H. Eberly, J. Phys. B 27, L503 (1994).
W.-C. Liu and J. H. Eberly, Phys. Rev. Lett. 83, 523 (1999).
K. W. Chan, C. K. Law and J. H. Eberly, Phys. Rev. Lett. 88, 100402 (2002).
C. Kurtsiefer, et al., Phys. Rev. A 55, R2539 (1997).
K. Rzązewski and W. Zakowicz, J. Phys. B 25, L319 (1992).
T. Pfau et al., Phys. Rev. Lett., 73, 1223 (1994).
M. S. Chapman et al., Phys. Rev. Lett., 75, 3783 (1995).
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© 2003 Springer Science+Business Media Dordrecht
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Eberly, J.H., Chan, K.W., Law, C.K. (2003). Schmidt-Mode Analysis of Entanglement for Quantum Information Studies. In: Shumovsky, A.S., Rupasov, V.I. (eds) Quantum Communication and Information Technologies. NATO Science Series, vol 113. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0171-7_1
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DOI: https://doi.org/10.1007/978-94-010-0171-7_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1453-6
Online ISBN: 978-94-010-0171-7
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