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Characterizing d-dimensional quantum channels by means of quantum process tomography

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Abstract

In this Letter, we propose a simple optical architecture based on phase-only programmable spatial light modulators, in order to characterize general processes on photonic spatial quantum systems in a d>2 Hilbert space. We demonstrate the full reconstruction of typical noises affecting quantum computing, such as amplitude shifts, phase shifts, and depolarizing channels in dimension d=5. We have also reconstructed simulated atmospheric turbulences affecting a free-space transmission of qudits in dimension d=4. In each case, quantum process tomography was performed in order to obtain the matrix χ that fully describes the corresponding quantum channel, E. Fidelities between the states are experimentally obtained after going through the channel, and the expected ones are above 97%.

© 2018 Optical Society of America

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Supplementary Material (2)

NameDescription
Visualization 1       Atmospheric turbulence corresponding to a free path communication at $h=174$m above sea level ($L=500$m).
Visualization 2       Atmospheric turbulence corresponding to a free path communication at $h=647$m above sea level ($L=500$m).

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Equations (3)

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