Manuscript Hawk07-B@1 · Hawk07-B.tex · section · b9785538
Prediction register and the Hawk07-B theorem
Prediction register and the Hawk07-B theorem · lines 1741–1815
{}1.12
| predictions and their domains. | ||
|---|---|---|
| Potential function | Proved conditional prediction | Not supplied |
| Potential function | Proved conditional prediction | Not supplied |
| Quantum payload return | A specified receiver returns all code states and their references within the diamond allowance after a certified cut. | A material spacecraft trajectory. |
| Entanglement distribution | A Bell payload has decoded overlap at least ; arbitrary reference correlations have trace-distance error at most . | Entanglement generated by gravity. |
| Private recovery | The declared complete residual is within of an input-independent channel on every reference extension. | Security against additional unmodelled access. |
| Logical processing | Any declared CPTP task after return inherits the same half-diamond allowance. | An efficient universal receiver or fault-tolerance theorem. |
| Delayed return | One decoder core remains available at every later retained cut, if coherent access is preserved. | Automatic protection against unbudgeted storage noise. |
| Hybrid communication | Bell-label Enter plus surviving quantum memory returns the payload after classical correction. | Signaling before the label or free resource reuse. |
| Convoys and relays | Independently prepared sessions or uniformly certified reset sessions compose with additive diamond allowances. | Composition inferred from previous small leakage alone. |
| Monitoring and logs | Every append-only cumulative record has nondecreasing Shannon entropy. | An album-only reconstruction of an unknown quantum payload. |
| Termination | Residual readout-and-forgetting leaves the established accessible channel unchanged. | Annihilation, a remnant-free endpoint, or geometric pinch-off. |