A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Quantum measurement incompatibility in subspaces
Tekijät: Uola Roope, Kraft Tristan, Designolle Sebastien, Miklin Nikolai, Tavakoli Armin, Pellonpää Juha-Pekka, Guhne Otfried, Brunner Nicolas
Kustantaja: AMER PHYSICAL SOC
Julkaisuvuosi: 2021
Journal: Physical Review A
Tietokannassa oleva lehden nimi: PHYSICAL REVIEW A
Lehden akronyymi: PHYS REV A
Artikkelin numero: ARTN 022203
Vuosikerta: 103
Numero: 2
Sivujen määrä: 10
ISSN: 2469-9926
eISSN: 2469-9934
DOI: https://doi.org/10.1103/PhysRevA.103.022203
Verkko-osoite: https://doi.org/10.1103/PhysRevA.103.022203
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/53433630
We consider the question of characterizing the incompatibility of sets of high-dimensional quantum measurements. We introduce the concept of measurement incompatibility in subspaces. That is, starting from a set of measurements that is incompatible, one considers the set of measurements obtained by projection onto any strict subspace of fixed dimension. We identify three possible forms of incompatibility in subspaces: (i) incompressible incompatibility-measurements that become compatible in every subspace, (ii) fully compressible incompatibility-measurements that remain incompatible in every subspace, and (iii) partly compressible incompatibility-measurements that are compatible in some subspace and incompatible in another. For each class, we discuss explicit examples. Finally, we present some applications of these ideas. First, we show that joint measurability and coexistence are two inequivalent notions of incompatibility in the simplest case of qubit systems. Second, we highlight the implications of our results for tests of quantum steering.
Ladattava julkaisu This is an electronic reprint of the original article. |