Relativistically covariant state-dependent cloning of photons

Details Relativistically covariant state-dependent cloning of photons Relativistically covariant state-dependent cloning of photons

2007-05-29

arxiv.org/abs/0705.4291v3

Physics

Quantum Physics

corrected, rewritten and accepted in PRA

Scientific paper

10.1103/PhysRevA.77.042302

The influence of the relativistic covariance requirement on the optimality of the symmetric state-dependent 1 -> 2 cloning machine is studied. Namely, given a photonic qubit whose basis is formed from the momentum-helicity eigenstates, the change to the optimal cloning fidelity is calculated taking into account the Lorentz covariance unitarily represented by Wigner's little group. To pinpoint some of the interesting results, we found states for which the optimal fidelity of the cloning process drops to 2/3 which corresponds to the fidelity of the optimal classical cloner. Also, an implication for the security of the BB84 protocol is analyzed.

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