Anders and Briegel in Python
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  1. import qi
  2. import numpy as np
  3. import tables
  4. from tqdm import tqdm
  5. import itertools as it
  6. def get_krontable():
  7. table = np.zeros((24,24,4,4), dtype=complex)
  8. for i, j in it.product(range(24), range(24)):
  9. u1 = tables.unitaries[i]
  10. u2 = tables.unitaries[j]
  11. table[i, j, :, :] = np.kron(u1, u2)
  12. return table
  13. def find(bond, c1, c2, z, krontable):
  14. # Figure out the target state
  15. state = qi.bond if bond else qi.nobond
  16. target = qi.cz * krontable[c1, c2] * state
  17. # Choose the sets to search over
  18. s1 = z if c1 in z else xrange(24)
  19. s2 = z if c2 in z else xrange(24)
  20. for bond, c1p, c2p in it.product([0,1], s1, s2):
  21. state = qi.bond if bond else qi.nobond
  22. trial = krontable[c1p, c2p] * state
  23. for phase in range(8):
  24. if np.allclose(target, np.exp(1j * phase * np.pi / 4.) * trial):
  25. return bond, c1p, c2p
  26. raise IndexError
  27. z = [tables.find(u, tables.unitaries) for u in qi.id, qi.px, qi.pz, qi.ph, qi.ph.H]
  28. krontable = get_krontable()
  29. cz_table = np.zeros((2, 24, 24, 3))
  30. for bond, c1, c2 in tqdm(list(it.product([0,1], range(24), range(24)))):
  31. cz_table[bond, c1, c2] = find(bond, c1, c2, z, krontable)
  32. np.save("cz_table.npy", cz_table)