Details
| Original language | English |
|---|---|
| Article number | 021003 |
| Journal | Physical Review X |
| Volume | 5 |
| Issue number | 2 |
| Publication status | Published - 2 Apr 2015 |
| Externally published | Yes |
Abstract
We describe a universal scheme of quantum computation by state injection on rebits (states with real density matrices). For this scheme, we establish contextuality and Wigner function negativity as computational resources, extending results of M. Howard et al. [Nature (London) 510, 351 (2014)] to two-level systems. For this purpose, we define a Wigner function suited to systems of n rebits and prove a corresponding discrete Hudson's theorem. We introduce contextuality witnesses for rebit states and discuss the compatibility of our result with state-independent contextuality.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review X, Vol. 5, No. 2, 021003, 02.04.2015.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Wigner Function Negativity and Contextuality in Quantum Computation on Rebits
AU - Delfosse, Nicolas
AU - Guerin, Philippe Allard
AU - Bian, Jacob
AU - Raussendorf, Robert
PY - 2015/4/2
Y1 - 2015/4/2
N2 - We describe a universal scheme of quantum computation by state injection on rebits (states with real density matrices). For this scheme, we establish contextuality and Wigner function negativity as computational resources, extending results of M. Howard et al. [Nature (London) 510, 351 (2014)] to two-level systems. For this purpose, we define a Wigner function suited to systems of n rebits and prove a corresponding discrete Hudson's theorem. We introduce contextuality witnesses for rebit states and discuss the compatibility of our result with state-independent contextuality.
AB - We describe a universal scheme of quantum computation by state injection on rebits (states with real density matrices). For this scheme, we establish contextuality and Wigner function negativity as computational resources, extending results of M. Howard et al. [Nature (London) 510, 351 (2014)] to two-level systems. For this purpose, we define a Wigner function suited to systems of n rebits and prove a corresponding discrete Hudson's theorem. We introduce contextuality witnesses for rebit states and discuss the compatibility of our result with state-independent contextuality.
UR - http://www.scopus.com/inward/record.url?scp=84937021258&partnerID=8YFLogxK
U2 - 10.1103/PhysRevX.5.021003
DO - 10.1103/PhysRevX.5.021003
M3 - Article
AN - SCOPUS:84937021258
VL - 5
JO - Physical Review X
JF - Physical Review X
SN - 2160-3308
IS - 2
M1 - 021003
ER -