Kochen-specker contextuality

C Budroni, A Cabello, O Gühne, M Kleinmann… - Reviews of Modern …, 2022 - APS
A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …

[HTML][HTML] Recent advances in Wigner function approaches

J Weinbub, DK Ferry - Applied Physics Reviews, 2018 - pubs.aip.org
The Wigner function was formulated in 1932 by Eugene Paul Wigner, at a time when
quantum mechanics was in its infancy. In doing so, he brought phase space representations …

Quantifying quantum speedups: Improved classical simulation from tighter magic monotones

JR Seddon, B Regula, H Pashayan, Y Ouyang… - PRX Quantum, 2021 - APS
Consumption of magic states promotes the stabilizer model of computation to universal
quantum computation. Here, we propose three different classical algorithms for simulating …

Contextuality as a resource for models of quantum computation with qubits

J Bermejo-Vega, N Delfosse, DE Browne, C Okay… - Physical review …, 2017 - APS
A central question in quantum computation is to identify the resources that are responsible
for quantum speed-up. Quantum contextuality has been recently shown to be a resource for …

Classical simulation of non-Gaussian fermionic circuits

B Dias, R Koenig - Quantum, 2024 - quantum-journal.org
We propose efficient algorithms for classically simulating fermionic linear optics operations
applied to non-Gaussian initial states. By gadget constructions, this provides algorithms for …

Quantifying magic for multi-qubit operations

JR Seddon, ET Campbell - Proceedings of the Royal …, 2019 - royalsocietypublishing.org
The development of a framework for quantifying 'non-stabilizerness' of quantum operations
is motivated by the magic state model of fault-tolerant quantum computation and by the need …

Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements

RI Booth, U Chabaud, PE Emeriau - Physical Review Letters, 2022 - APS
Quantum computers promise considerable speedups with respect to their classical
counterparts. However, the identification of the innately quantum features that enable these …

Convex geometry of quantum resource quantification

B Regula - Journal of Physics A: Mathematical and Theoretical, 2017 - iopscience.iop.org
We introduce a framework unifying the mathematical characterisation of different measures
of general quantum resources and allowing for a systematic way to define a variety of faithful …

Phase-space-simulation method for quantum computation with magic states on qubits

R Raussendorf, J Bermejo-Vega, E Tyhurst, C Okay… - Physical Review A, 2020 - APS
We propose a method for classical simulation of finite-dimensional quantum systems, based
on sampling from a quasiprobability distribution, ie, a generalized Wigner function. Our …

Overview of the phase space formulation of quantum mechanics with application to quantum technologies

RP Rundle, MJ Everitt - Advanced Quantum Technologies, 2021 - Wiley Online Library
The phase‐space formulation of quantum mechanics has recently seen increased use in
testing quantum technologies, including methods of tomography for state verification and …