Details
| Original language | English |
|---|---|
| Pages (from-to) | 1135-1166 |
| Number of pages | 32 |
| Journal | Quantum Information and Computation |
| Volume | 17 |
| Issue number | 13-14 |
| Publication status | Published - 2017 |
| Externally published | Yes |
Abstract
We provide a cohomological framework for contextuality of quantum mechanics that is suited to describing contextuality as a resource in measurement-based quantum computation. This framework applies to the parity proofs first discussed by Mermin, as well as a different type of contextuality proofs based on symmetry transformations. The topological arguments presented can be used in the state-dependent and the state-independent case.
Keywords
- Cohomology, Quantum contextuality
ASJC Scopus subject areas
- Mathematics(all)
- Theoretical Computer Science
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computational Theory and Mathematics
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In: Quantum Information and Computation, Vol. 17, No. 13-14, 2017, p. 1135-1166.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Topological Proofs of Contextuality in Qunatum Mechanics
AU - Okay, Cihan
AU - Roberts, S. A.M.
AU - Bartlett, Stephen D.
AU - Raussendorf, Robert
N1 - Funding Information: CO acknowledges funding from NSERC. SDB acknowledges support from the ARC via the Centre of Excellence in Engineered Quantum Systems (EQuS), project number CE110001013. RR is supported by NSERC and Cifar, and is scholar of the Cifar Quantum Information Processing program.
PY - 2017
Y1 - 2017
N2 - We provide a cohomological framework for contextuality of quantum mechanics that is suited to describing contextuality as a resource in measurement-based quantum computation. This framework applies to the parity proofs first discussed by Mermin, as well as a different type of contextuality proofs based on symmetry transformations. The topological arguments presented can be used in the state-dependent and the state-independent case.
AB - We provide a cohomological framework for contextuality of quantum mechanics that is suited to describing contextuality as a resource in measurement-based quantum computation. This framework applies to the parity proofs first discussed by Mermin, as well as a different type of contextuality proofs based on symmetry transformations. The topological arguments presented can be used in the state-dependent and the state-independent case.
KW - Cohomology
KW - Quantum contextuality
UR - http://www.scopus.com/inward/record.url?scp=85051143046&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1611.07332
DO - 10.48550/arXiv.1611.07332
M3 - Article
AN - SCOPUS:85051143046
VL - 17
SP - 1135
EP - 1166
JO - Quantum Information and Computation
JF - Quantum Information and Computation
SN - 1533-7146
IS - 13-14
ER -