Quantum cloning and the capacity of the Pauli channel

Details Quantum cloning and the capacity of the Pauli channel Quantum cloning and the capacity of the Pauli channel

1998-03-22

arxiv.org/abs/quant-ph/9803058v2

Phys.Rev.Lett. 84 (2000) 4497

Physics

Quantum Physics

5 pages RevTeX, 3 Postscript figures

Scientific paper

10.1103/PhysRevLett.84.4497

A family of quantum cloning machines is introduced that produce two approximate copies from a single quantum bit, while the overall input-to-output operation for each copy is a Pauli channel. A no-cloning inequality is derived, describing the balance between the quality of the two copies. This also provides an upper bound on the quantum capacity of the Pauli channel with probabilities $p_x$, $p_y$ and $p_z$. The capacity is shown to be vanishing if $(\sqrt{p_x},\sqrt{p_y},\sqrt{p_z})$ lies outside an ellipsoid whose pole coincides with the depolarizing channel that underlies the universal cloning machine.

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