Cloning a real d-dimensional quantum state on the edge of the no-signaling condition

Details Cloning a real d-dimensional quantum state on the edge of the no-signaling condition Cloning a real d-dimensional quantum state on the edge of the no-signaling condition

2003-02-22

arxiv.org/abs/quant-ph/0302172v1

Phys. Rev. A 68, 032313 (2003).

Physics

Quantum Physics

6 pages RevTex, 1 encapuslated Postscript figure

Scientific paper

10.1103/PhysRevA.68.032313

We investigate a new class of quantum cloning machines that equally duplicate all real states in a Hilbert space of arbitrary dimension. By using the no-signaling condition, namely that cloning cannot make superluminal communication possible, we derive an upper bound on the fidelity of this class of quantum cloning machines. Then, for each dimension d, we construct an optimal symmetric cloner whose fidelity saturates this bound. Similar calculations can also be performed in order to recover the fidelity of the optimal universal cloner in d dimensions.

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