E-Gate — FX Domain

Why A-Gate FX Failed

The A-Gate architecture was originally designed around biological excitatory-inhibitory (E-I) dynamics. Applying it directly to FX returns failed because E-I encoding is not principally derivable from financial equilibrium theory. The biological metaphor does not transfer — currency pairs do not have excitatory and inhibitory channels.

The E-Gate is a redesigned architecture that respects the native structure of FX markets: factor decomposition, not E-I dynamics.

E-Gate Architecture

• 4-qubit circuit — one qubit per empirical factor
• K4 complete graph topology — all-to-all connectivity (no heavy-hex constraint at this scale)
• Factor basis: dollar, carry, momentum, residual — derived from empirical G10 FX structure
• Encoding: factor loadings as rotation angles, cross-factor correlations as entangling gate parameters

What It Measures

The E-Gate targets 2nd-order geometric invariants on the FX covariance manifold:

• Trajectory curvature: How sharply the covariance structure changes during regime shifts
• Nash equilibrium proximity: Distance from the current covariance state to theoretical equilibrium configurations

Connection to QNFM

Same instrument philosophy as the A-Gate: a fixed geometric probe that does not adapt to the data. The circuit’s rigidity is the instrument. Different domain structure requires different circuit architecture, but the measurement principle is identical — read directional properties of a covariance manifold using a non-adaptive quantum measurement basis.

Status

Theoretical. Hardware validation feasible on IBM hardware. No implementation details or portfolio specifics are public at this stage.