Gravitational-Wave Quantum Classifier

Cl(3,0) geometric-algebra encoding + tree tensor network circuit

Overview

Encodes gravitational-wave polarizations (h+, h×) as a Cl(3,0) multivector, with the phase residual carried as the Hodge-dual third component, then classifies echo / no-echo ringdown signatures — a quantum-gravity proxy — with a Spin(3)-equivariant tree tensor network circuit. Targeting IBM ibm_kingston hardware.

Architecture

• Cl(3,0) multivector encoding of (h+, h×), phase residual carried as the Hodge-dual third component — locked in
• Hermitian bivector generators verified at ~10⁻¹⁵ residuals
• Symmetry-locking pathology identified and resolved via Hodge-dual generator G_hodge = X₀Y₁X₂
• Architecture shifted from VQE / continuous-variable QML to a tree tensor network (TTN) circuit
• Spin(3)-equivariant exchange blocks with layer-wise parameter sharing, encoding a scale self-similarity hypothesis
• Separability test pipeline (check_separability_v2.py) in progress

Milestones

1. 01Finish and validate the separability test pipeline
2. 02Run the TTN circuit on simulator against known GW catalog events
3. 03Submit circuit to IBM ibm_kingston hardware queue
4. 04Draft and submit the arXiv preprint — highest-leverage deliverable for outreach and transfer positioning

Open questions

• Statistical significance threshold for echo / no-echo discrimination
• Circuit depth vs. decoherence tradeoff once run on real hardware
• Path from binary echo/no-echo to a graded quantum-gravity proxy score