activity
19982026
most citedState estimation for large ensembles

277 citations · 608 across the 17 of their papers we have counts for

collaborators

17 papers

stat.AP2026

Critique of "Use of roster charts in the investigation and prosecution of nurses ..." by John O' Quigley

Richard D. Gill

The paper "Use of roster charts in the investigation and prosecution of nurses suspected of inflicting deliberate harm on patients" by Prof. John O'Quigley explores an interesting…

quant-ph2023

Further comments on "Is the moon there if nobody looks? Bell inequalities and physical reality"

Richard D. Gill

Kupczynski (2023) claims that Gill and Lambare (2022a, 2022b) misrepresent several of his published papers. This paper shows that the latest version of his "contextuality by defaul…

quant-ph2022★ 1 cited

Bell's theorem is an exercise in the statistical theory of causality

Richard D. Gill

In this short note, I derive the Bell-CHSH inequalities as an elementary result in the present-day theory of statistical causality based on graphical models or Bayes' nets, defined…

quant-ph2022★ 3 cited

Commentary: Is the moon there if nobody looks -- Bell inequalities and physical reality

Richard D. Gill, Justo P. Lambare

Marian Kupczynski(MK)is the author of a controversial paper published (2020) in the journal Frontiers in Physics. The work is built around a mathematical claim by MK which is actua…

quant-ph2022

Comment on: Bell tests explained by classical optics without quantum entanglement

Richard D. Gill

In a paper published in the journal Physics Essays in 2021, the author D.L. Mamas writes "A polarized photon interacts with a polarizer through the component of the photon's electr…

quant-ph2022

Optimal statistical analyses of Bell experiments

Richard D. Gill

We show how both smaller and more reliable p-values can be computed in Bell-type experiments by using statistical deviations from no-signalling equalities to reduce statistical noi…

quant-ph2022★ 5 cited

Kupczynski's Contextual Locally Causal Probabilistic Models are constrained by Bell's theorem

Richard D. Gill, Justo Pastor Lambare

In a sequence of papers, Marian Kupczynski has argued that Bell's theorem can be circumvented if one takes correct account of contextual setting-dependent parameters describing mea…

quant-ph2021

Quantum Computation, Data Science, and Bell games

Richard D. Gill

I draw attention to statistical, probabilistic, computer science aspects of the highly related topics of the Bell game and of a possible future Quantum Internet.

quant-ph2021★ 2 cited

Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"

Richard D. Gill

I point out fatal mathematical errors in the paper "Quantum correlations are weaved by the spinors of the Euclidean primitives" by Joy Christian, published (2019) in the journal Ro…

stat.OT2020★ 3 cited

Anna Karenina and The Two Envelopes Problem

R. D. Gill

The Anna Karenina principle is named after the opening sentence in the eponymous novel: Happy families are all alike; every unhappy family is unhappy in its own way. The Two Envelo…

quant-ph2012★ 12 cited

Tomography and state reconstruction with superconducting single-photon detectors

Jelmer J. Renema, Giulia Frucci, Michiel J. A. de Dood +3

We perform quantum state reconstruction of coherent and thermal states with a detector which has an enhanced multiphoton response. The detector is based on superconducting nanowire…

quant-ph2010★ 14 cited

A tight Tsirelson inequality for infinitely many outcomes

S. Zohren, P. Reska, R. D. Gill +1

We present a novel tight bound on the quantum violations of the CGLMP inequality in the case of infinitely many outcomes. Like in the case of Tsirelson's inequality the proof of ou…

math.HO2010★ 30 cited

The Monty Hall Problem is not a Probability Puzzle (it's a challenge in mathematical modelling)

Richard D. Gill

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows w…

quant-ph2009★ 4 cited

Schrödinger's cat meets Occam's razor

Richard D. Gill

We discuss V.P. Belavkin's (2007) approach to the Schrödinger cat problem and show its close relation to ideas based on superselection and interaction with the environment develope…

quant-ph2005★ 50 cited

Separable Measurement Estimation of Density Matrices and its Fidelity Gap with Collective Protocols

E. Bagan, M. A. Ballester, R. D. Gill +2

We show that there exists a gap between the performance of separable and collective measurements in qubit mixed-state estimation that persists in the large sample limit. We charact…

quant-ph1999★ 277 cited

State estimation for large ensembles

R. D. Gill, S. Massar

We consider the problem of estimating the state of a large but finite number of identical quantum systems. In the limit of large the problem simplifies. In particular the o…

quant-ph1998★ 207 cited

Fisher information in quantum statistics

O. E. Barndorff-Nielsen, R. D. Gill

Braunstein and Caves (1994) proposed to use Helstrom's {\em quantum information} number to define, meaningfully, a metric on the set of all possible states of a given quantum syste…