Details
| Original language | English |
|---|---|
| Journal | Quantum |
| Volume | 4 |
| Issue number | 217 |
| Publication status | Published - 5 Jan 2020 |
| Externally published | Yes |
Abstract
We consider the phenomenon of quantum mechanical contextuality, and specifically parity-based proofs thereof. Mermin’s square and star are representative examples. Part of the information invoked in such contextuality proofs is the commutativity structure among the pertaining observables. We investigate to which extent this commutativity structure alone determines the viability of a parity-based contextuality proof. We establish a topological criterion for this, generalizing an earlier result by Arkhipov.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Quantum, Vol. 4, No. 217, 05.01.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Homotopical approach to quantum contextuality
AU - Okay, Cihan
AU - Raussendorf, Robert
PY - 2020/1/5
Y1 - 2020/1/5
N2 - We consider the phenomenon of quantum mechanical contextuality, and specifically parity-based proofs thereof. Mermin’s square and star are representative examples. Part of the information invoked in such contextuality proofs is the commutativity structure among the pertaining observables. We investigate to which extent this commutativity structure alone determines the viability of a parity-based contextuality proof. We establish a topological criterion for this, generalizing an earlier result by Arkhipov.
AB - We consider the phenomenon of quantum mechanical contextuality, and specifically parity-based proofs thereof. Mermin’s square and star are representative examples. Part of the information invoked in such contextuality proofs is the commutativity structure among the pertaining observables. We investigate to which extent this commutativity structure alone determines the viability of a parity-based contextuality proof. We establish a topological criterion for this, generalizing an earlier result by Arkhipov.
UR - http://www.scopus.com/inward/record.url?scp=85092268874&partnerID=8YFLogxK
U2 - 10.22331/q-2020-01-05-217
DO - 10.22331/q-2020-01-05-217
M3 - Article
AN - SCOPUS:85092268874
VL - 4
JO - Quantum
JF - Quantum
SN - 2521-327X
IS - 217
ER -