# QAI SPECTRE™ SYNTHESIS

This simple example demonstrates how undifferentiated QAI SPECTRE™ analog circuits self-program using quantum wave diffusion novel algorithm to recognize a verbal audio command taken from the 1970 Colossus science fiction movie. The structure formed demonstrates Poincaré recurrence self-organization. The resulting circuit is exported to SPICE models for importation into current electronic design automation systems for circuit refinement, layout and tape out.

Any dynamical system defined by an ordinary differential equation determines a flow mapping phase space on itself. The system is said to be volume-preserving if the volume of a set in phase space is invariant under the flow. For instance, all Hamiltonian systems are volume-preserving because of Liouville's theorem. The theorem is then: If a flow preserves volume and has only bounded orbits, then for each open set there exist orbits that intersect the set infinitely often. In the QAI SPECTRE™ automated analog circuit synthesis system these orbits define analog semiconductor III-V EHF circuits.

The resulting self-organized circuit solution is automatically synthesized to a SPICE model integrated circuit description. SPICE ("Simulation Program with Integrated Circuit Emphasis") is a general-purpose, open-source analog electronic circuit simulator and circuit specification language. It is a program used in integrated circuit and board-level design to check the integrity of circuit designs and to predict circuit behavior. There are many SPICE simulators available.

The QAI SPECTRE™ SPICE model output is imported into analog electronic design automation (EDA) systems for circuit refinement, layout, simulation and eventual foundry tape out. Compatible EDA systems include Keysight ADS, NI AWR MWO, Cadence Virtuoso and many other platforms. QAI SPECTRE™ SPICE models simulate using many SPICE systems.