|
| 1 | +""" |
| 2 | +comparison between expectation evaluation with/wo lightcone simplification |
| 3 | +""" |
| 4 | + |
| 5 | +import numpy as np |
| 6 | +import tensorcircuit as tc |
| 7 | + |
| 8 | +K = tc.set_backend("tensorflow") |
| 9 | + |
| 10 | + |
| 11 | +def brickwall_ansatz(c, params, gatename, nlayers): |
| 12 | + n = c._nqubits |
| 13 | + params = K.reshape(params, [nlayers, n, 2]) |
| 14 | + for j in range(nlayers): |
| 15 | + for i in range(0, n, 2): |
| 16 | + getattr(c, gatename)(i, (i + 1) % n, theta=params[j, i, 0]) |
| 17 | + for i in range(1, n, 2): |
| 18 | + getattr(c, gatename)(i, (i + 1) % n, theta=params[j, i, 1]) |
| 19 | + return c |
| 20 | + |
| 21 | + |
| 22 | +def loss(params, n, nlayers, enable_lightcone): |
| 23 | + c = tc.Circuit(n) |
| 24 | + for i in range(n): |
| 25 | + c.h(i) |
| 26 | + c = brickwall_ansatz(c, params, "rzz", nlayers) |
| 27 | + expz = K.stack( |
| 28 | + [c.expectation_ps(z=[i], enable_lightcone=enable_lightcone) for i in range(n)] |
| 29 | + ) |
| 30 | + return K.real(K.sum(expz)) |
| 31 | + |
| 32 | + |
| 33 | +vg1 = K.jit(K.value_and_grad(loss), static_argnums=(1, 2, 3)) |
| 34 | + |
| 35 | + |
| 36 | +def efficiency(): |
| 37 | + for n in range(6, 40, 4): |
| 38 | + for nlayers in range(2, 6, 2): |
| 39 | + print(n, nlayers) |
| 40 | + print("w lightcone") |
| 41 | + (v2, g2), _, _ = tc.utils.benchmark( |
| 42 | + vg1, K.ones([nlayers * n * 2]), n, nlayers, True |
| 43 | + ) |
| 44 | + if n < 16: |
| 45 | + print("wo lightcone") |
| 46 | + (v1, g1), _, _ = tc.utils.benchmark( |
| 47 | + vg1, K.ones([nlayers * n * 2]), n, nlayers, False |
| 48 | + ) |
| 49 | + np.testing.assert_allclose(v1, v2, atol=1e-5) |
| 50 | + np.testing.assert_allclose(g1, g2, atol=1e-5) |
| 51 | + |
| 52 | + |
| 53 | +## further correctness check |
| 54 | +def correctness(n, nlayers): |
| 55 | + for _ in range(5): |
| 56 | + v1, g1 = vg1(K.implicit_randn([nlayers * n * 2]), n, nlayers, False) |
| 57 | + v2, g2 = vg1(K.implicit_randn([nlayers * n * 2]), n, nlayers, True) |
| 58 | + np.testing.assert_allclose(v1, v2, atol=1e-5) |
| 59 | + np.testing.assert_allclose(g1, g2, atol=1e-5) |
| 60 | + |
| 61 | + |
| 62 | +if __name__ == "__main__": |
| 63 | + efficiency() |
| 64 | + correctness(7, 3) |
0 commit comments