Physics – Quantum Physics
Scientific paper
1998-05-22
Phys.Rev. A58 (1998) 4377-4393
Physics
Quantum Physics
RevTex, 26 pages, 2 Postscript figures
Scientific paper
10.1103/PhysRevA.58.4377
A quantum copying machine producing two (in general non-identical) copies of an arbitrary input state of a two-dimensional Hilbert space (qubit) is studied using a quality measure based on distinguishability of states, rather than fidelity. The problem of producing optimal copies is investigated with the help of a Bloch sphere representation, and shown to have a well-defined solution, including cases in which the two copies have unequal quality, or the quality depends upon the input state (is ``anisotropic'' in Bloch sphere language), or both. A simple quantum circuit yields the optimal copying machine. With a suitable choice of parameters it becomes an optimal eavesdropping machine for some versions of quantum cryptography, or reproduces the Buzek and Hillery result for isotropic copies.
Griffiths Robert B.
Niu Chi-Sheng
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