Colloquium: Incompatible measurements in quantum information science

O Gühne, E Haapasalo, T Kraft, JP Pellonpää… - Reviews of Modern …, 2023 - APS
Some measurements in quantum mechanics disturb each other. This has puzzled physicists
since the formulation of the theory, but only in recent decades has the incompatibility of …

Quantum resource theories

E Chitambar, G Gour - Reviews of modern physics, 2019 - APS
Quantum resource theories (QRTs) offer a highly versatile and powerful framework for
studying different phenomena in quantum physics. From quantum entanglement to quantum …

An invitation to quantum incompatibility

T Heinosaari, T Miyadera, M Ziman - Journal of Physics A …, 2016 - iopscience.iop.org
In the context of a physical theory, two devices, A and B, described by the theory are called
incompatible if the theory does not allow the existence of a third device C that would have …

Joint measurability, einstein-podolsky-rosen steering, and bell nonlocality

MT Quintino, T Vértesi, N Brunner - Physical review letters, 2014 - APS
We investigate the relation between the incompatibility of quantum measurements and
quantum nonlocality. We show that a set of measurements is not jointly measurable (ie …

Specker's parable of the overprotective seer: A road to contextuality, nonlocality and complementarity

YC Liang, RW Spekkens, HM Wiseman - Physics Reports, 2011 - Elsevier
In 1960, the mathematician Ernst Specker described a simple example of nonclassical
correlations, the counter-intuitive features of which he dramatized using a parable about a …

Measurements Incompatible in Quantum Theory Cannot Be Measured Jointly<? format?> in Any Other No-Signaling Theory

MM Wolf, D Perez-Garcia, C Fernandez - Physical review letters, 2009 - APS
It is well known that jointly measurable observables cannot lead to a violation of any Bell
inequality—independent of the state and the measurements chosen at the other site. In this …

Incompatibility robustness of quantum measurements: a unified framework

S Designolle, M Farkas, J Kaniewski - New Journal of Physics, 2019 - iopscience.iop.org
In quantum mechanics performing a measurement is an invasive process which generally
disturbs the system. Due to this phenomenon, there exist incompatible quantum …

Complete resource theory of quantum incompatibility as quantum programmability

F Buscemi, E Chitambar, W Zhou - Physical review letters, 2020 - APS
Measurement incompatibility describes two or more quantum measurements whose
expected joint outcome on a given system cannot be defined. This purely nonclassical …

Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication

F Buscemi, K Kobayashi, S Minagawa, P Perinotti… - Quantum, 2023 - quantum-journal.org
While there is general consensus on the definition of incompatible POVMs, moving up to the
level of instruments one finds a much less clear situation, with mathematically different and …

A no-go theorem for the persistent reality of Wigner's friend's perception

P Allard Guérin, V Baumann, F Del Santo… - Communications …, 2021 - nature.com
The notorious Wigner's friend thought experiment (and modifications thereof) has received
renewed interest especially due to new arguments that force us to question some of the …