Journal
ENTROPY
Volume 15, Issue 6, Pages 2340-2362Publisher
MDPI AG
DOI: 10.3390/e15062340
Keywords
contextuality; stabilizer; non-locality
Categories
Funding
- Irish Research Council (IRC)
- Science Foundation Ireland [10/IN.1/I3013]
- Science Foundation Ireland (SFI) [10/IN.1/I3013] Funding Source: Science Foundation Ireland (SFI)
Ask authors/readers for more resources
The Pauli groups are ubiquitous in quantum information theory because of their usefulness in describing quantum states and operations and their readily understood symmetry properties. In addition, the most well-understood quantum error correcting codes-stabilizer codes-are built using Pauli operators. The eigenstates of these operators-stabilizer states-display a structure (e.g., mutual orthogonality relationships) that has made them useful in examples of multi-qubit non-locality and contextuality. Here, we apply the graph-theoretical contextuality formalism of Cabello, Severini and Winter to sets of stabilizer states, with particular attention to the effect of generalizing two-level qubit systems to odd prime d-level qudit systems. While state-independent contextuality using two-qubit states does not generalize to qudits, we show explicitly how state-dependent contextuality associated with a Bell inequality does generalize. Along the way we note various structural properties of stabilizer states, with respect to their orthogonality relationships, which may be of independent interest.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available