Nonexistence of Mutually Unbiased Bases for Hilbert spaces with non-power-of-a-prime dimensions
Reinaldo O. Vianna, Ming Yang, Aldo Delgado, Carlos Saavedra
TL;DR
This paper discusses the nonexistence of mutually unbiased bases in Hilbert spaces whose dimensions are not powers of prime numbers, addressing a fundamental question in quantum information theory.
Contribution
It provides a proof or argument showing that mutually unbiased bases cannot exist in non-prime-power dimensions, clarifying a long-standing open problem.
Findings
Mutually unbiased bases do not exist in non-prime-power dimensions
The result clarifies limitations in quantum state measurement
Supports the conjecture about the structure of quantum measurements
Abstract
This paper has been withdrawn by Reinaldo O. Vianna.
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
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Finite Group Theory Research