Relativistic BB84, relativistic errors, and how to correct them

Details Relativistic BB84, relativistic errors, and how to correct them Relativistic BB84, relativistic errors, and how to correct them

2003-03-12

arxiv.org/abs/quant-ph/0303077v2

Phys. Rev. A 68 (2003) 010302(R)

Physics

Quantum Physics

revtex4

Scientific paper

10.1103/PhysRevA.68.010302

The Bennett-Brassard cryptographic scheme (BB84) needs two bases, at least one of them linearly polarized. The problem is that linear polarization formulated in terms of helicities is not a relativistically covariant notion: State which is linearly polarized in one reference frame becomes depolarized in another one. We show that a relativistically moving receiver of information should define linear polarization with respect to projection of Pauli-Lubanski's vector in a principal null direction of the Lorentz transformation which defines the motion, and not with respect to the helicity basis. Such qubits do not depolarize.

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