Properties and Applications of the Kirkwood-Dirac Distribution

DRM Arvidsson-Shukur, WF Braasch Jr… - arxiv preprint arxiv …, 2024 - arxiv.org
The most famous quasi-probability distribution, the Wigner function, has played a pivotal role
in the development of a continuous-variable quantum theory that has clear analogues of …

Contextuality and inductive bias in quantum machine learning

J Bowles, VJ Wright, M Farkas, N Killoran… - arxiv preprint arxiv …, 2023 - arxiv.org
Generalisation in machine learning often relies on the ability to encode structures present in
data into an inductive bias of the model class. To understand the power of quantum machine …

Aspects of the phenomenology of interference that are genuinely nonclassical

L Catani, M Leifer, G Scala, D Schmid, RW Spekkens - Physical Review A, 2023 - APS
Interference phenomena are often claimed to resist classical explanation. However, such
claims are undermined by the fact that the specific aspects of the phenomenology upon …

Kirkwood-Dirac representations beyond quantum states and their relation to noncontextuality

D Schmid, RD Baldijão, Y Yīng, R Wagner, JH Selby - Physical Review A, 2024 - APS
Kirkwood-Dirac representations of quantum states are increasingly finding use in many
areas within quantum theory. Usually, representations of this sort are only applied to provide …

[HTML][HTML] Why interference phenomena do not capture the essence of quantum theory

L Catani, M Leifer, D Schmid, RW Spekkens - Quantum, 2023 - quantum-journal.org
Quantum interference phenomena are widely viewed as posing a challenge to the classical
worldview. Feynman even went so far as to proclaim that they are the $\textit {only mystery} …

Alternative robust ways of witnessing nonclassicality in the simplest scenario

M Khoshbin, L Catani, M Leifer - Physical Review A, 2024 - APS
In this paper we relate notions of nonclassicality in what is known as the simplest nontrivial
scenario (a prepare and measure scenario composed of four preparations and two binary …

Robustness of contextuality under different types of noise as quantifiers for parity-oblivious multiplexing tasks

AM Fonseca, VP Rossi, RD Baldijão, JH Selby… - Physical Review A, 2025 - APS
Generalized contextuality is the notion of nonclassicality powering up a myriad of quantum
tasks, among which is the celebrated case of a two-party information processing task where …

Shadows and subsystems of generalized probabilistic theories: when tomographic incompleteness is not a loophole for contextuality proofs

D Schmid, JH Selby, VP Rossi, RD Baldijão… - arxiv preprint arxiv …, 2024 - arxiv.org
It is commonly believed that failures of tomographic completeness undermine assessments
of nonclassicality in noncontextuality experiments. In this work, we study how such failures …

Advantages of quantum communication revealed by the reexamination of hyperbit theory limitations

G Scala, SA Ghoreishi, M Pawłowski - Physical Review A, 2024 - APS
Pawłowski and Winter's hyperbit theory, proposed in 2012, presented itself as an alternative
to quantum theory, suggesting novel ways of redefining entanglement and classical …

Which features of quantum physics are not fundamentally quantum but are due to indeterminism?

F Del Santo, N Gisin - arxiv preprint arxiv:2409.10601, 2024 - arxiv.org
What is fundamentally quantum? We argue that most of the features, problems, and
paradoxes--such as the measurement problem, the Wigner's friend paradox and its …