About Representation of Kraus' Families by Isometries


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


Quantum operations are studied in the paper. They are defined as classes of the special equivalence for Kraus' families. Representation of Kraus' families by isometric operators is given. Criterion of the equivalence is found
Copyright © 2013 Praise Worthy Prize - All rights reserved.

Keywords


Kraus' Family; Quantum Operation; Isometric Operator

Full Text:

PDF


References


Alobaidi, M., Batyiv, A., Zholtkevych, G.: Abstract Quantum Automata as Formed Models of Quantum Information Processing Systems. V. Ermolayev et al. (eds.) ICTERI 2012,CCIS 347, pp. 19-38. Springer – VerlagBerlinHeidelberg (2013)
http://dx.doi.org/10.1007/978-3-642-35737-4_2

Bouwmeester, D., Pan, J.--W., Mattle, K., Eible, M., Weinfurter, H., Zeilinger, A.:Experimental quantum teleportation.Nature, 390, 575 -- 579 (1997)
http://dx.doi.org/10.1038/37539

Boschi, D., Branca, S., De Martini, F., Hardy, L., Popescu, S.:Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein--Podolsky--Rosen Channel.Phys. Rev. Lett., 80, 1121 -- 1125 (1998)
http://dx.doi.org/10.1103/physrevlett.80.1121

Feynman, R.P.: Simulating Physics with Computer. Int. J. Theor. Phys., 21, 467 – 488 (1982)
http://dx.doi.org/10.1007/bf02650179

Feynman, R.P.: Quantum Mechanical Computers. Found. Phys., 16, 507 – 531 (1986)
http://dx.doi.org/10.1007/bf01886518

Holevo, A.S.: Probabilistic and Statistical Aspects of Quantum Theory. North-Holland Publishing Company, Amsterdam (1982)
http://dx.doi.org/10.1007/978-88-7642-378-9

Manin, Yu.I.: Computable and Incomputable (Cybernetics), (in Russian). Sovetskoe radio, Moscow (1980)

Manin, Yu.I.:Mathematics as metaphor: selected essays of Yuri I. Manin.AMS (2007)
http://dx.doi.org/10.1093/philmat/nkn013

Neumann von, J.: Mathematische Grundlagen Der Quantenmechanik. Verlag von Julius Springer, Berlin (1932)
http://dx.doi.org/10.1007/978-3-642-61409-5

Nielsen, M.A. and Chuang, I.L.: Quantum Computation and Quantum Information. CambridgeUniversity Press, Cambridge (2000)

Saleh, B.E.A., Teich, M.C.: Fundamentals of Photonics. Wiley-Interscience, Hoboken, NJ (2007)


Refbacks

  • There are currently no refbacks.


Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize