On estimating the state of a finite level quantum system

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Volumn 7, Issue 4, 2004, Pages 607-617

  Parthasarathy, K R ^a  

^a INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Error basis; Finite field; Mutually unbiased measurements; Weyl operators

Indexed keywords

EID: 12144265041     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025704001797     Document Type: Article

References (7)

1. V. Arvind and K. R. Parthasarathy, A family of quantum stabilizer codes based on the Weyl commutation relations over a finite field, in A Tribute to C. S. Seshadri, Perspectives in Geometry and Representation Theory, eds. V. Lakshmibai et al., Hindustan Book Agency, New Delhi (2003) 133-149.
2. V. Arvind, P. Kurur and K. R. Parthasarathy, Non-stabilizer quantum codes from Abelian subgroups of the error group, in Quantum Information, Statistics, Probability, Dedicated to Alexander S. Holevo on the Occasion of his 60th Birthday, ed. O. Hirota (Rinton Press, 2004).
3. S. Bandyopadhyay, P. O. Boykin, V. Roychowdhury and F. Vatan, A new proof for the existence of mutually unbiased bases, quant-ph/0103162 v3, 7 September 2001.
4. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, 1999).
5. K. R. Parthasarathy, Lectures on quantum computation, quantum error-correcting codes and information theory, Notes by Amitava Bhattacharyya, TIFR, Mumbai, 2003.
6. A. O. Pittenger and M. H. Rubin, Mutually unbiased bases, generalized spin matrices and separability, quant-ph/0308142 v1, 26 August 2003.
7. W. K. Wooters and B. D. Fields, Optimal state-determination by mutually unbiased measurements, Ann. Phys. 191 (1989) 363-381.