Department of Physics

Indian Institute Of Technology Madras , Chennai

Reliable Maximum Likelihood Reconstruction for Quantum Tomography

Speaker : Dr. Hui Khoon Ng

2018-02-27

Abstract :

Quantum tomography is a crucial primitive underlying a multitude of quantum information processing tasks. A reliable estimation strategy requires not only an accurate guess that makes best use of available measurement data, but also a statement about how certain we are of our guess. To this end, I will first present a superfast algorithm to accurately reconstruct the popular maximum-likelihood estimator (MLE) [1]. Then, I will discuss how to put practically meaningful error bars on the MLE [2]. If one is interested only in certain properties of the quantum state, it is important to estimate those quantities directly from the data, rather than first estimating the state; I will briefly explain how to go about this in a reliable manner [3].

[1] J. Shang, Z. Zhang, HKN, Superfast maximum likelihood reconstruction for quantum tomography, PRA 95, 062338 (2017).
[2] J. Shang, HKN, A. Sehrawat, X. Li, and B.-G. Englert, NJP 15, 123026 (2013).
[3] X. Li, J. Shang, HKN, and B.-G. Englert, Optimal error intervals for properties of the quantum state, PRA 94, 062112 (2016).

Key Speaker Dr. Hui Khoon Ng
Guests None
Place Seminar Room
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None