Quantum reverse-engineering and reference frame alignment without non-local correlations

Details Quantum reverse-engineering and reference frame alignment without non-local correlations Quantum reverse-engineering and reference frame alignment without non-local correlations

2004-05-17

arxiv.org/abs/quant-ph/0405082v2

Phys. Rev. A 70, 030301 (2004)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.70.030301

Estimation of unknown qubit elementary gates and alignment of reference frames are formally the same problem. Using quantum states made out of $N$ qubits, we show that the theoretical precision limit for both problems, which behaves as $1/N^{2}$, can be asymptotically attained with a covariant protocol that exploits the quantum correlation of internal degrees of freedom instead of the more fragile entanglement between distant parties. This cuts by half the number of qubits needed to achieve the precision of the dense covariant coding protocol.

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