State transfers in vertex complemented coronas
Jing Wang, Xiaogang Liu
TL;DR
This paper investigates the conditions under which perfect and pretty good state transfer occur in vertex complemented coronas, revealing that perfect state transfer is rare while providing criteria for pretty good state transfer.
Contribution
The paper introduces new conditions for pretty good state transfer in vertex complemented coronas and demonstrates the rarity of perfect state transfer in these graphs.
Findings
Perfect state transfer is extremely rare in vertex complemented coronas.
Sufficient conditions for pretty good state transfer are established.
The study advances understanding of quantum state transfer in complex graph structures.
Abstract
In this paper, we study the existence of perfect state transfer and pretty good state transfer in vertex complemented coronas. We prove that perfect state transfer in vertex complemented coronas is extremely rare. In contrast, we give sufficient conditions for vertex complemented coronas to have pretty good state transfer.
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 Computing Algorithms and Architecture · Quantum Information and Cryptography · Spectroscopy and Quantum Chemical Studies