3 problems

0 votes0 replies0 views
Critical-base conjecture for Nielsen's complexity geometry on unitary groups
Let $N$ be the number of qubits and let $g_{IJ}^b$ be the right- or left-invariant metric on $\operatorname{SU}(2^N)$ that is diagonal in the Pauli-word basis, with a Pauli word…
Conjectureopencomplexity-geometry quantum-information riemannian-geometryarXiv posted 2 days ago
0 votes0 replies0 views
Long-distance insensitivity conjecture for right-invariant complexity metrics
Let right-invariant metrics be defined on the unitary group, with their short-distance behavior determined by short-distance parameters. Long-distance insensitivity conjecture. The…
Conjectureopencomplexity-geometry differential-geometryarXiv posted 2 days ago
0 votes0 replies2 views
UV/IR conjecture for emergent geometries of high-dimensional metrics
The claim concerns high-dimensional metrics whose short-scale behavior may differ substantially, and the effective geometry they induce at long scales. UV/IR decoupling conjecture.…
Conjectureopencomplexity-geometry differential-geometryarXiv posted 2 days ago

Critical-base conjecture for Nielsen's complexity geometry on unitary groups