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Journal Article

Efficient tomography with unknown detectors

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Sanchez-Soto,  L. L.
Quantumness, Tomography, Entanglement, and Codes, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;
Univ Complutense, Fac Fis, Dept Opt;

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1705.11080.pdf
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Citation

Motka, L., Paur, M., Rehacek, J., Hradil, Z., & Sanchez-Soto, L. L. (2017). Efficient tomography with unknown detectors. Quantum Sci. Technol. 2, 035003 (2017), 2(3): UNSP 035003. doi:10.1088/2058-9565/aa78d9.


Cite as: https://hdl.handle.net/21.11116/0000-0000-E383-B
Abstract
We compare the two main techniques used for estimating the state of a physical system from unknown measurements: standard detector tomography and data-pattern tomography. Adopting linear inversion as a fair benchmark, we show that the difference between these two protocols can be traced back to the nonexistence of the reverse-order law for pseudoinverses. We capitalize on this fact to identify regimes where the data-pattern approach outperforms the standard one and vice versa. We corroborate these conclusions with numerical simulations of relevant examples of quantum state tomography.