Ambiguity in mana and magic definition and knot states
Abstract
We study the Mana and Magic for quantum states. They have a standard definition through the Clifford group, which is finite and thus classically computable. We introduce a modified Mana and Magic, which keep their main property of classical computability, while making other states classically computable. We also apply these new definitions to the studies of knot states of 2-strand knots and show that the knot polynomials cannot be effectively simulated on a classical computer.
Fields of Study & Subjects
Computability
Logic
AI Algorithms
semigroups and automata theory
Publication details
- Journal / source
- Modern Physics Letters A
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 41
- Issue
- 29
- Publication date
- 8 May 2026
- Language
- EN