About Representation of Kraus' Families by Isometries

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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
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Kraus' Family; Quantum Operation; Isometric Operator

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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)

Bouwmeester, D., Pan, J.--W., Mattle, K., Eible, M., Weinfurter, H., Zeilinger, A.:Experimental quantum teleportation.Nature, 390, 575 -- 579 (1997)

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)

Feynman, R.P.: Simulating Physics with Computer. Int. J. Theor. Phys., 21, 467 – 488 (1982)

Feynman, R.P.: Quantum Mechanical Computers. Found. Phys., 16, 507 – 531 (1986)

Holevo, A.S.: Probabilistic and Statistical Aspects of Quantum Theory. North-Holland Publishing Company, Amsterdam (1982)

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)

Neumann von, J.: Mathematische Grundlagen Der Quantenmechanik. Verlag von Julius Springer, Berlin (1932)

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)


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