Leggett-Garg inequalities and no-signaling in time: A quasiprobability approach

JJ Halliwell - Physical Review A, 2016 - APS
The Leggett-Garg (LG) inequalities were proposed in order to assess whether sets of pairs
of sequential measurements on a single quantum system can be consistent with an …

A quantum probability framework for human probabilistic inference.

JS Trueblood, JM Yearsley… - Journal of Experimental …, 2017 - psycnet.apa.org
There is considerable variety in human inference (eg, a doctor inferring the presence of a
disease, a juror inferring the guilt of a defendant, or someone inferring future weight loss …

Comparing conditions for macrorealism: Leggett-Garg inequalities versus no-signaling in time

JJ Halliwell - Physical Review A, 2017 - APS
We consider two different types of conditions which were proposed to test macrorealism in
the context of a system described by a single dichotomic variable Q. This is the view that a …

Leggett-Garg tests for macrorealism: Interference experiments and the simple harmonic oscillator

JJ Halliwell, A Bhatnagar, E Ireland, H Nadeem… - Physical Review A, 2021 - APS
Leggett-Garg (LG) tests for macrorealism were originally designed to explore quantum
coherence on the macroscopic scale. Interference experiments and systems modeled by …

Quantum cognition, neural oscillators, and negative probabilities

JA de Barros, G Oas - The Palgrave Handbook of Quantum Models in …, 2017 - Springer
This review paper has three main goals. First, to discuss a contextual neurophysiologically
plausible model of neural oscillators that reproduces some of the features of quantum …

Some examples of contextuality in physics: Implications to quantum cognition

J Acacio De Barros, G Oas - Contextuality from quantum physics to …, 2016 - World Scientific
Contextuality, the impossibility of assigning a single random variable to represent the
outcomes of the same measurement procedure under different experimental conditions, is a …

[HTML][HTML] Two proofs of Fine's theorem

JJ Halliwell - Physics Letters A, 2014 - Elsevier
Fine's theorem concerns the question of determining the conditions under which a certain
set of probabilities for pairs of four bivalent quantities may be taken to be the marginals of an …

Quasiprobability for the arrival-time problem with links to backflow and the Leggett-Garg inequalities

JJ Halliwell, H Beck, BKB Lee, S O'Brien - Physical Review A, 2019 - APS
The arrival-time problem for the free particle in one dimension may be formulated as the
problem of determining a joint probability for the particle being found on opposite sides of …

Fine's theorem for Leggett-Garg tests with an arbitrary number of measurement times

JJ Halliwell, C Mawby - Physical Review A, 2019 - APS
If the time evolution of a quantum system can be understood classically, then there must
exist an underlying probability distribution for the variables describing the system at a …

Exploring non-signalling polytopes with negative probability

G Oas, JA de Barros, C Carvalhaes - Physica Scripta, 2014 - iopscience.iop.org
Bipartite and tripartite EPR–Bell type systems are examined via joint quasi-probability
distributions where probabilities are permitted to be negative. It is shown that such …