Details
| Original language | English |
|---|---|
| Article number | 123024 |
| Journal | New journal of physics |
| Volume | 19 |
| Issue number | 12 |
| Publication status | Published - 8 Dec 2017 |
| Externally published | Yes |
Abstract
Understanding what distinguishes quantum mechanics from classical mechanics is crucial for quantum information processing applications. In this work, we consider two notions of non-classicality for quantum systems, negativity of the Wigner function and contextuality for Pauli measurements. We prove that these two notions are equivalent for multi-qudit systems with odd local dimension. For a single qudit, the equivalence breaks down. We show that there exist single qudit states that admit a non-contextual hidden variable model description and whose Wigner functions are negative.
Keywords
- contextuality, discrete Wigner functions, hidden variable model, quantum computing
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: New journal of physics, Vol. 19, No. 12, 123024, 08.12.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Equivalence between contextuality and negativity of the Wigner function for qudits
AU - Delfosse, Nicolas
AU - Okay, Cihan
AU - Bermejo-Vega, Juan
AU - Browne, Dan E.
AU - Raussendorf, Robert
N1 - Funding Information: ND acknowledges funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-2644). CO acknowledges funding from NSERC. JBV acknowledges funding from AQuS. RR is supported by NSERC and Cifar. RR thanks Ana Belén Sainz for discussions. ND thanks Kamil Korzekwa for his comments on a preliminary version of this work. DB acknowledges funding provided by EPSRC Centre for Doctoral Training in Delivering Quantum Technologies. DB and JBV thank the Perimeter Institute for its hospitality and during the conference, ‘Contextuality: Conceptual Issues, Operational Signatures, and Applications’.
PY - 2017/12/8
Y1 - 2017/12/8
N2 - Understanding what distinguishes quantum mechanics from classical mechanics is crucial for quantum information processing applications. In this work, we consider two notions of non-classicality for quantum systems, negativity of the Wigner function and contextuality for Pauli measurements. We prove that these two notions are equivalent for multi-qudit systems with odd local dimension. For a single qudit, the equivalence breaks down. We show that there exist single qudit states that admit a non-contextual hidden variable model description and whose Wigner functions are negative.
AB - Understanding what distinguishes quantum mechanics from classical mechanics is crucial for quantum information processing applications. In this work, we consider two notions of non-classicality for quantum systems, negativity of the Wigner function and contextuality for Pauli measurements. We prove that these two notions are equivalent for multi-qudit systems with odd local dimension. For a single qudit, the equivalence breaks down. We show that there exist single qudit states that admit a non-contextual hidden variable model description and whose Wigner functions are negative.
KW - contextuality
KW - discrete Wigner functions
KW - hidden variable model
KW - quantum computing
UR - http://www.scopus.com/inward/record.url?scp=85039777179&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/aa8fe3
DO - 10.1088/1367-2630/aa8fe3
M3 - Article
AN - SCOPUS:85039777179
VL - 19
JO - New journal of physics
JF - New journal of physics
SN - 1367-2630
IS - 12
M1 - 123024
ER -