Ambiguity in mana and magic definition and knot states

TL;DR

This paper introduces modified definitions of Mana and Magic for quantum states that maintain classical computability and are applicable to knot states, expanding their analytical utility.

Contribution

The paper proposes new versions of Mana and Magic that are classically computable for a broader class of states, including knot states, enhancing their practical applicability.

Findings

Modified Mana and Magic are classically computable for more states.

Application to 2-strand knot states demonstrates the new definitions' utility.

Maintains core properties while broadening scope of computability.

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.