On the Phase Covariant Quantum Cloning

Details On the Phase Covariant Quantum Cloning On the Phase Covariant Quantum Cloning

2002-08-13

arxiv.org/abs/quant-ph/0208080v2

Phys. Rev. A 66, 052111 (2002)

Physics

Quantum Physics

Revtex4, 6 pages, 5 eps figures

Scientific paper

10.1103/PhysRevA.66.052111

It is known that in phase covariant quantum cloning the equatorial states on the Bloch sphere can be cloned with a fidelity higher than the optimal bound established for universal quantum cloning. We generalize this concept to include other states on the Bloch sphere with a definite $z$ component of spin. It is shown that once we know the $z$ component, we can always clone a state with a fidelity higher than the universal value and that of equatorial states. We also make a detailed study of the entanglement properties of the output copies and show that the equatorial states are the only states which give rise to separable density matrix for the outputs.

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