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Decomposition of pure states of quantum register

  • Quantum Optics and Quantum Information
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Abstract.

The generalization of Schmidt decomposition due to Cartelet-Higuchi-Sudbery applied to quantum register (a system of N qubits) is shown to acquire direct geometrical meaning: any pure state is canonically associated with a chain of a simplicial complex. A leading vector method is presented to calculate the values of the coefficients of appropriate chain.

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References

  • A. Sen De, U. Sen, M. Lewenstein, A. Sanpera; e-print arXiv:quant-ph/0508032

  • H.A. Carteret, A. Higuchi, A. Sudbery; J. Math. Phys. 41, 7932 (2000); e-print arXiv:quant-ph/0006125

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  • I. Raptis, P. Wallden, R.R. Zapatrin, to appear in a special proceedings issue (Glafka, 2004) of Int. J. Theor. Phys.; e-print arXiv:gr-qc/0506088

  • I. Raptis, P. Wallden, R.R. Zapatrin; e-print arXiv:gr-qc/0510053

  • R.R. Zapatrin, J. Mod. Opt. 50, 891 (2003); e-print arXiv:quant-ph/0207058

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Author information

Authors and Affiliations

  1. EU Marie Curie Reintegration Postdoctoral Research Fellow, Algebra and Geometry Section, Department of Mathematics, University of Athens, Panepistimioupolis, Athens, 157 84, Greece

    I. Raptis

  2. Theoretical Physics Group, Blackett Laboratory, Imperial College of Science, Technology and Medicine, Prince Consort Road, South Kensington, London, SW7 2BZ, UK

    I. Raptis

  3. Theoretical Physics Group, Physics Department, Imperial College, UK

    P. Wallden

  4. Department of Information Science, The State Russian Museum, Inzenernaya 4, 191186, St. Petersburg, Russia

    R. R. Zapatrin

Authors
  1. I. Raptis
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  2. P. Wallden
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  3. R. R. Zapatrin
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Corresponding author

Correspondence to R. R. Zapatrin.

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Raptis, I., Wallden, P. & Zapatrin, R. Decomposition of pure states of quantum register . Eur. Phys. J. D 41, 185–188 (2007). https://doi.org/10.1140/epjd/e2006-00204-2

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  • DOI: https://doi.org/10.1140/epjd/e2006-00204-2

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