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arXiv · 1703.04260

Single plane minimal tomography of double slit qubits

Edwin C. Chaparro Sogamoso·D. Angulo·K. M. Fonseca-Romero
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Abstract

The determination of the density matrix of an ensemble of identically prepared quantum systems by performing a series of measurements, known as quantum tomography, is minimal when the number of outcomes is minimal. The most accurate minimal quantum tomography of qubits, sometimes called a tetrahedron measurement, corresponds to projections over four states which can be represented on the Bloch sphere as the vertices of a regular tetrahedron. We investigate whether it is possible to implement the tetrahedron measurement of double slit qubits of light, using measurements performed on a single plane. Assuming Gaussian slits and free propagation, we demonstrate that a judicious choice of the detection plane and the double slit geometry allows the implementation of a tetrahedron measurement. Finally, we consider possible sets of values which could be used in actual experiments.

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Edwin C. Chaparro Sogamoso, D. Angulo, K. M. Fonseca-Romero. 2017-03-13. Single plane minimal tomography of double slit qubits. https://doi.org/10.1016/j.optcom.2017.04.022

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