Indeterminate Space-Time Quantum Mechanics, Geometrical Interpretation Of Quantum Information Compression, Hallgren's Efficient Quantum Algorithm For Solving Pell's Equation, Stronger No-Cloning Theorem, Quantum Template Matching, Perturbative And Nonpert

Abstract

Bužek and M. Hillery analyze the possibility of (e) copying (that is, cloning) arbitrary states of (e) a quantum-mechanical spin-1/2 system. Authors show that there exists (eb) universal quantum-copying machine‘‘ (i.e., transformation) which approximately copies quantum-mechanical states such that (e) the quality of its output does not (e) depend on the input. Authors also examine a machine which combines a unitary transformation and (e&eb) a selective measurement to produce good copies of (e) states in the neighborhood of a particular state. Authors discuss the problem of (e) measurement of the output states. © 1996 The American Physical Society Received 5 February 1996 DOI:http://dx.doi.org/10.1103/PhysRevA.54.1844 Quantum copying: Beyond the no-cloning theorem V. Bužek and M. Hillery Phys. Rev. A 54, 1844 – Published 1 September 1996 STOP Authors derive a necessary and sufficient condition for two pure states, each entangled in two remote systems, to be clonable by the sequential access to the two systems. The result shows (eb) to what extent...

The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-496948-501458.pdf