qat.synthopline.phase_polynomials.random_phase_polynomial

qat.synthopline.phase_polynomials.random_phase_polynomial(nbqbits, nbterms, no_trivial=True)

Produces a random phase polynomial over nbqbits qbits and with support of size nbterms.

Note

The seed of the generator can be controlled using numpy’s random.seed method.

import numpy as np
from qat.synthopline.phase_polynomials import random_phase_polynomial

np.random.seed(1234)
ppol = random_phase_polynomial(10, 15)
for key, value in ppol.items():
    print(key, ":", value)

(np.int64(0), np.int64(1), np.int64(0), np.int64(0), np.int64(0), np.int64(1), np.int64(1), np.int64(1), np.int64(1), np.int64(1)) : 1.2033521966597658
(np.int64(1), np.int64(1), np.int64(0), np.int64(0), np.int64(1), np.int64(0), np.int64(0), np.int64(1), np.int64(0), np.int64(1)) : 4.294324272275401
(np.int64(0), np.int64(1), np.int64(1), np.int64(1), np.int64(0), np.int64(1), np.int64(1), np.int64(0), np.int64(1), np.int64(0)) : 4.8558128739121065
(np.int64(1), np.int64(1), np.int64(1), np.int64(1), np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(1), np.int64(0)) : 5.8630921783166405
(np.int64(0), np.int64(0), np.int64(1), np.int64(1), np.int64(1), np.int64(0), np.int64(0), np.int64(0), np.int64(1), np.int64(1)) : 5.460888444158442
(np.int64(1), np.int64(1), np.int64(1), np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(0)) : 1.3747113436983167
(np.int64(0), np.int64(0), np.int64(0), np.int64(0), np.int64(0), np.int64(1), np.int64(1), np.int64(1), np.int64(0), np.int64(1)) : 0.2975419919830728
(np.int64(1), np.int64(1), np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(1), np.int64(0), np.int64(1), np.int64(0)) : 2.0713679337660658
(np.int64(1), np.int64(1), np.int64(0), np.int64(0), np.int64(0), np.int64(0), np.int64(0), np.int64(1), np.int64(1), np.int64(1)) : 3.879500672799016
(np.int64(1), np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(0)) : 1.7922846408848714
(np.int64(1), np.int64(0), np.int64(1), np.int64(1), np.int64(1), np.int64(1), np.int64(0), np.int64(1), np.int64(1), np.int64(1)) : 2.8377906427956767
(np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(0), np.int64(1), np.int64(1), np.int64(0), np.int64(1), np.int64(0)) : 2.9633546100296067
(np.int64(1), np.int64(1), np.int64(1), np.int64(0), np.int64(0), np.int64(0), np.int64(1), np.int64(0), np.int64(0), np.int64(0)) : 0.03900926019963218
(np.int64(0), np.int64(0), np.int64(1), np.int64(0), np.int64(0), np.int64(1), np.int64(1), np.int64(0), np.int64(0), np.int64(0)) : 4.4359135278263615
(np.int64(0), np.int64(1), np.int64(1), np.int64(0), np.int64(0), np.int64(1), np.int64(1), np.int64(0), np.int64(0), np.int64(1)) : 0.9586430161104738

Parameters:

nbqbits (int) – the number of qubits
nbterms (int) – the number of non-zero terms in the polynomial
no_trivial (optional, bool) – if set to True, avoid generating trivial terms (i.e global phases or 1-parities). Defaults to True.

Returns:

a dictionary representing the phase polynomial

Return type:

dict

Note

This method is available as an application in Qaptiva Access.