examples/minimal_cycle.py

"""A minimal executable CQW -> Split -> Unison cycle.

Run from the package root: python examples/minimal_cycle.py
The oracle is explicit and charged; no information is recovered from nothing.
"""
from pathlib import Path
import sys
sys.path.insert(0, str(Path(__file__).resolve().parents[1] / 'src'))
import numpy as np
from axiomesh.core import Memory, weave, split_with_tether, hole_certificate

p = 101
Q = np.array([[1, 0, 0]], dtype=np.int64)
a = np.eye(3, dtype=np.int64); a[0, 1] = 1
b = np.eye(3, dtype=np.int64); b[1, 2] = 1
ops = {"a": a, "b": b}
h = np.array([3, 4, 2], dtype=np.int64)
partial = Memory(np.array([[1, 0, 0], [0, 1, 0]], dtype=np.int64),
                 np.array([3, 4], dtype=np.int64), p)
result = weave(Q, ops, partial)
assert result.status == "ambiguous"
print('Before acquisition:', hole_certificate(result.closure, partial))
result = weave(Q, ops, partial,
               oracle=lambda row: int(row @ h) % p,
               observation_budget=1, erasure_budget=1)
assert result.status == "committed"
assert result.offspring.run(["b", "a"]).tolist() == [9]
fracture = split_with_tether(Q, ops, result.memory, partitions=[["a"], ["b"]])
rejoined = fracture.reunify()
assert rejoined.status == "committed"
assert rejoined.offspring.run(["b", "a"]).tolist() == [9]
print({'observations_acquired': result.acquisitions,
       'tether_symbols': fracture.tether_symbols,
       'regenerated_output': rejoined.offspring.run(['b', 'a']).tolist()})