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Quantum measurement incompatibility in subspaces




TekijätUola Roope, Kraft Tristan, Designolle Sebastien, Miklin Nikolai, Tavakoli Armin, Pellonpää Juha-Pekka, Guhne Otfried, Brunner Nicolas

KustantajaAMER PHYSICAL SOC

Julkaisuvuosi2021

JournalPhysical Review A

Tietokannassa oleva lehden nimiPHYSICAL REVIEW A

Lehden akronyymiPHYS REV A

Artikkelin numeroARTN 022203

Vuosikerta103

Numero2

Sivujen määrä10

ISSN2469-9926

eISSN2469-9934

DOIhttps://doi.org/10.1103/PhysRevA.103.022203

Verkko-osoitehttps://doi.org/10.1103/PhysRevA.103.022203

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/53433630


Tiivistelmä
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.

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