Efficient tomography with unknown detectors
arXiv:1705.11080 · doi:10.1088/2058-9565/aa78d9
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.
13 pages, 6 figures. Submitted for publication. Comments most welcome!
References in corpus (7)
- Measuring measurement
- Robust and versatile black-box certification of quantum devices
- Measuring Measurement: Theory and Practice
- Mapping coherence in measurement via full quantum tomography of a hybrid optical detector
- On the Optimality of Square Root Measurements in Quantum State Discrimination
- A proposed testbed for detector tomography
- Time-Multiplexed Measurements of Nonclassical Light at Telecom Wavelengths