Geometric Quantum Circuit Simulation
on a Classical 4-Dimensional Hypercube

Native Cl(4,0) spacetime rotor evolution. Hybrid matrix-product + geometric compression. Every intermediate state is an addressable coordinate on the 4D lattice.

Architecture

Circuit state lives on the vertices of an n-dimensional hypercube (native focus: 4D). Edges are single-bit flips that implement elementary geometric rotations in Cl(n,0). Limited entanglement stays in exact MPS mode; beyond bond-dimension threshold we switch to geometric rotor compression without ever leaving the hypercube topology.

4D Core

Primary lattice is Cl(4,0). Coordinates are 4-tuples. Higher dimensions are recursive expansions of the same graph.

Exact regime

Matrix-product states with adaptive bond dimension. Full fidelity while entanglement remains local.

Compressed regime

Clifford rotor projections + low-rank geometric approximations once the state leaves the exact manifold.

Measured characteristics

Status

Research prototype. Public surface is intentionally minimal. Deeper lattice inspection endpoints are not exposed on this node.