An invitation to quantum tomography

2003/03/04 by Richard D. Gill, Richard Gill, Gill, Richard +3 · 4 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Machine Learning and ELM #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0303020

19 pages, submitted to J. Royal Stat. Soc. B. Note added 31/05/04: a revised version with further statistical results but less mathematical details, and with co-author Luis Artiles, has been posted on arXiv as math.ST/0405595

openalex publication_date 2003/03/04 · arxiv created 2004/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We describe quantum tomography as an inverse statistical problem and show how entropy methods can be used to study the behaviour of sieved maximum likelihood estimators. There remain many open problems, and a main purpose of the paper is to bring these to the attention of the statistical community.

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