Adaptive compressive tomography with no a priori information. (arXiv:1812.05289v2 [quant-ph] UPDATED)

Quantum state tomography is both a crucial component in the field of quantum
information and computation, and a formidable task that requires an incogitably
large number of measurement configurations as the system dimension grows. We
propose and experimentally carry out an intuitive adaptive compressive
tomography scheme, inspired by the traditional compressed-sensing protocol in
signal recovery, that tremendously reduces the number of configurations needed
to uniquely reconstruct any given quantum state without any additional a priori
assumption whatsoever (such as rank information, purity, etc) about the state,
apart from its dimension.

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