On construction of anticliques for non-commutative operator graphs
G.G. Amosov, A.S. Mokeev
TL;DR
This paper constructs anticliques for non-commutative operator graphs generated by generalized Pauli matrices, demonstrating that entangled states significantly enhance the dimension of such graphs with anticlique projections.
Contribution
It introduces a method to construct anticliques for non-commutative operator graphs using entangled states, increasing the potential code space dimensions.
Findings
Entangled states enable larger anticlique code spaces.
Construction of anticliques for graphs generated by generalized Pauli matrices.
Enhanced quantum error correction capabilities.
Abstract
In this paper anticliques for non-commutative operator graphs generated by the generalized Pauli matrices are constructed. It is shown that application of entangled states for the construction of code space K allows one to substantially increase the dimension of a non-commutative operator graph for which the projection on K is an anticlique.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Matrix Theory and Algorithms