Entanglement-assisted tomography of a quantum target

Details Entanglement-assisted tomography of a quantum target Entanglement-assisted tomography of a quantum target

2011-07-27

arxiv.org/abs/1107.5545v2

J. Phys. A: Math. Theor. 45 (2012) 105309

Physics

Quantum Physics

22 pages, 9 figures

Scientific paper

10.1088/1751-8113/45/10/105309

We study the efficiency of quantum tomographic reconstruction where the system under investigation (quantum target) is indirectly monitored by looking at the state of a quantum probe that has been scattered off the target. In particular we focus on the state tomography of a qubit through a one-dimensional scattering of a probe qubit, with a Heisenberg-type interaction. Via direct evaluation of the associated quantum Cram\'{e}r-Rao bounds, we compare the accuracy efficiency that one can get by adopting entanglement-assisted strategies with that achievable when entanglement resources are not available. Even though sub-shot noise accuracy levels are not attainable, we show that quantum correlations play a significant role in the estimation. A comparison with the accuracy levels obtainable by direct estimation (not through a probe) of the quantum target is also performed.

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