Tomography of a single-atom-resolved detector in the presence of shot-to-shot number fluctuations
Abstract: Tomography of single-particle-resolved detectors is of primary importance for characterizing particle correlations with applications in quantum metrology, quantum simulation and quantum computing. However, it is a non-trivial task in practice due to the unavoidable presence of noise that affects the measurement but does not originate from the detector. In this work, we address this problem for a three-dimensional single-atom-resolved detector where shot-to-shot atom number fluctuations are a central issue to perform a quantum detector tomography. We overcome this difficulty by exploiting the parallel measurement of counting statistics in sub-volumes of the detector, from which we evaluate the effect of shot-to-shot fluctuations and perform a local tomography of the detector. In addition, we illustrate the validity of our method from applying it to Gaussian quantum states with different number statistics. Finally, we show that the response of Micro-Channel Plate detectors is well-described from using a binomial distribution with the detection efficiency as a single parameter.
- I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Reviews of Modern Physics 80, 885 (2008).
- I. M. Georgescu, S. Ashhab, and F. Nori, Quantum simulation, Rev. Mod. Phys. 86, 153 (2014).
- V. Giovannetti, S. Lloyd, and L. Maccone, Advances in quantum metrology, Nature Photonics 5, 222–229 (2011).
- C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
- G. Tóth, Multipartite entanglement and high-precision metrology, Phys. Rev. A 85, 022322 (2012).
- A. Luis and L. L. Sánchez-Soto, Complete characterization of arbitrary quantum measurement processes, Phys. Rev. Lett. 83, 3573 (1999).
- J. Fiurášek, Maximum-likelihood estimation of quantum measurement, Phys. Rev. A 64, 024102 (2001).
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2010).
- Y. Liu and K.-K. Ni, Bimolecular chemistry in the ultracold regime, Annual Review of Physical Chemistry 73, 73 (2022).
- R. Byrd, M. Hribar, and J. Nocedal, An interior point algorithm for large-scale nonlinear programming, SIAM Journal on Optimization 9, 877 (1999).
- M. Lalee, J. Nocedal, and T. Plantenga, On the implementation of an algorithm for large-scale equality constrained optimization, SIAM Journal on Optimization 8, 682 (1998).
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