Journal article Open Access

Adaptive Compressive Tomography with No a priori Information

Ahn, D; Teo, Y.S.; Jeong, H; Bouchard, F.; Karimi, Ebrahim; Hufnagel, F.; Koutný, D.; Řeháček, J.; Hradil, Z.; Leuchs, G.; Sánchez-Soto, L. L.

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.

The research supporting the results here reported have recieved additional funding from BK21 Plus Program (21A20131111123) funded by the Ministry of education (MOE, Korea) and National Research Foundation of Korea (NRF), the NRF grant funded by the Korea government (MSIP) (Grant No. 2010-0018295Canada Research Chairs (CRC), the Spanish MINECO (Grant No. FIS2015-67963-P), the Grant Agency of the Czech Republic (Grant No. 18-04291S), and the IGA Project of the Palacký University (Grant No. IGA PrF 2018-003).
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