Coarse-grained quantum state estimation for noisy measurements

Yong Siah Teo, Jaroslav Řeháček, and Zdeněk Hradil
Phys. Rev. A 88, 022111 – Published 14 August 2013

Abstract

We introduce a numerical coarse-graining scheme to reliably estimate the quantum state of a source given a set of noisy measurement outcomes that are not well calibrated. This scheme requires no additional knowledge or assumptions about the structures of the noisy outcomes and is, thus, applicable for very general tomography experiments with arbitrary noise perturbations. Further, this scheme involves an optimization procedure that is straightforward to implement and can readily be extended to any number of ill-calibrated noisy outcomes in a measurement setup. Compared with the standard estimation strategy where noise is neglected, coarse graining performed on simulated and experimental data for two-qubit quantum states and on simulated data from continuous-variable tomography shows that this scheme can significantly improve the accuracies of state estimators for noise levels ranging from low to moderately high values.

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  • Received 6 April 2013

DOI:https://doi.org/10.1103/PhysRevA.88.022111

©2013 American Physical Society

Authors & Affiliations

Yong Siah Teo, Jaroslav Řeháček, and Zdeněk Hradil

  • Department of Optics, Palacký University, 17. listopadu 12, 77146 Olomouc, Czech Republic

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Issue

Vol. 88, Iss. 2 — August 2013

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