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CGB Recursive Growth Bound Deposition

The Master Theorem applied to physical chip growth - gate count at depth d follows a branching recursion with tight upper bound.

Extended catalog & full narrative — CGB Recursive Growth Bound Deposition

The extended dossier appended from the 2026-08-05 catalog snapshot. Prices in the body copy have been stripped; the live-store price on this page is the authoritative figure. Images have been omitted.

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Quantum Cartography

Hyper Quantum Map

Multi-Layer Hilbert-State Atlas for Programmable Quantum Hardware

Release: April 2026 — Project 37: Quantum Triplet π Series

1 — Core Specification

Ψ(t) = U(t,t_0) Ψ_0 ⇒ M_HQ(ρ) = Tr_E[ U ρ U† ] with dim(M) = 2^n × k_layout (n qubits, k topology sheets)

2 — Simplified Interpretation

Hyper Quantum Map is a structured map of your quantum program’s state and layout: it tracks how the full Hilbert space evolves under your gates, then projects that evolution onto the physical topology you actually run on—so you see coherence, routing, and error channels in one view.

3 — Layman (Plain Language)

Think of it as a weather map for a quantum computer. Instead of guessing whether your circuit “fits” the machine, you get a layered picture: which qubits carry the real work, where entanglement spreads, and where the hardware is likely to hurt you first. You plan routes before you burn calibration time.

Analysis & Significance

Classical floorplans show wires and cells; quantum floorplans must show state overlap, SWAP depth, and readout collision. Hyper Quantum Map unifies (1) logical circuit depth, (2) device connectivity and directionality, and (3) noise and crosstalk priors into a single navigable representation. Use cases: picking the best embedding for a fixed algorithm, comparing two processors before purchase, explaining why a benchmark wins or loses on a given chip, and shortening the iteration loop from abstract QASM to calibrated pulses. Deliverable includes: topology-aware layout sheets, entanglement footprint overlays, and export hooks for simulators and lab notebooks. Intended for teams that already run circuits and need a decision-grade map, not a toy visualization. Regimes: shallow circuits favor local maps; deep or highly entangled circuits engage the full hyper stack (multiple layout sheets and environment tracing) so you do not mistake a pretty diagram for a faithful state projection.

Classification: Quantum Cartography • Product: Hyper Quantum Map • SKU: HQM-037-CARTO • License: Enterprise (contact for quote)

© 2026 Christopher Gabriel Brown / CRI-ONE. All rights reserved.
This document is a purchased deliverable. Unauthorized redistribution is prohibited.

Acquisition Path

This product is available through CGB's 4-step acquisition path. The current price is shown in your cart and on the live storefront page.

Step 1 — Proof of Function: public, each.
Step 2 — Mathematical Deposition: reading material under mutual NDA.
Step 3 — Evaluation License: hands-on evaluation under NDA; fee credits toward Step 4.
Step 4 — Full Acquisition:

See the acquisition path overview →

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CGB Recursive Growth Bound Deposition

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