diff --git a/docs/how-to-guides/lucj_mps.ipynb b/docs/how-to-guides/lucj_mps.ipynb index e0b322c26..4e4670957 100644 --- a/docs/how-to-guides/lucj_mps.ipynb +++ b/docs/how-to-guides/lucj_mps.ipynb @@ -41,10 +41,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "converged SCF energy = -77.8266321248744\n", - "Parsing /tmp/tmpgbjtc5ah\n", - "converged SCF energy = -77.8266321248744\n", - "CASCI E = -77.8742165643863 E(CI) = -4.02122442107773 S^2 = 0.0000000\n", + "converged SCF energy = -77.8266321248745\n", + "Parsing /tmp/tmpe0z457lb\n", + "converged SCF energy = -77.8266321248745\n", + "CASCI E = -77.8742165643863 E(CI) = -4.02122442107772 S^2 = 0.0000000\n", "norb = 4\n", "nelec = (2, 2)\n" ] @@ -126,17 +126,17 @@ }, "outputs": [ { - "name": "stdout", + "name": "stderr", "output_type": "stream", "text": [ - "E(CCSD) = -77.87421536374029 E_corr = -0.04758323886585428\n" + " does not have attributes converged\n" ] }, { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - " does not have attributes converged\n" + "E(CCSD) = -77.87421536374032 E_corr = -0.04758323886585007\n" ] } ], @@ -193,7 +193,7 @@ "text": [ "original Hamiltonian type = \n", "converted Hamiltonian type = \n", - "maximum MPO bond dimension = 58\n" + "maximum MPO bond dimension = 54\n" ] } ], @@ -307,9 +307,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "LUCJ (MPS) energy = -77.77309168986469\n", - "LUCJ energy = -77.84651018653344\n", - "FCI energy = -77.87421656438626\n" + "LUCJ (MPS) energy = -77.77309168986461\n", + "LUCJ energy = -77.84651018653356\n", + "FCI energy = -77.87421656438629\n" ] } ], @@ -351,7 +351,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] diff --git a/python/ffsim/tenpy/gates/abstract_gates.py b/python/ffsim/tenpy/gates/abstract_gates.py index e8afdbb1c..10b505819 100644 --- a/python/ffsim/tenpy/gates/abstract_gates.py +++ b/python/ffsim/tenpy/gates/abstract_gates.py @@ -45,7 +45,7 @@ def apply_two_site( U2: np.ndarray, sites: tuple[int, int], *, - norm_tol: float = 1e-5, + norm_tol: float = 1e-8, ) -> None: r"""Apply a two-site gate to an MPS. diff --git a/python/ffsim/tenpy/gates/diag_coulomb.py b/python/ffsim/tenpy/gates/diag_coulomb.py index 5c7201356..433b336c7 100644 --- a/python/ffsim/tenpy/gates/diag_coulomb.py +++ b/python/ffsim/tenpy/gates/diag_coulomb.py @@ -24,7 +24,7 @@ def apply_diag_coulomb_evolution( mat: np.ndarray, time: float, *, - norm_tol: float = 1e-5, + norm_tol: float = 1e-8, ) -> None: r"""Apply a diagonal Coulomb evolution gate to an MPS. diff --git a/python/ffsim/tenpy/gates/orbital_rotation.py b/python/ffsim/tenpy/gates/orbital_rotation.py index eece2c125..abd1fe9b5 100644 --- a/python/ffsim/tenpy/gates/orbital_rotation.py +++ b/python/ffsim/tenpy/gates/orbital_rotation.py @@ -25,7 +25,7 @@ def apply_orbital_rotation( eng: TEBDEngine, mat: np.ndarray, *, - norm_tol: float = 1e-5, + norm_tol: float = 1e-8, ) -> None: r"""Apply an orbital rotation gate to an MPS. diff --git a/python/ffsim/tenpy/gates/ucj.py b/python/ffsim/tenpy/gates/ucj.py index 070e91df0..6d7ebbd98 100644 --- a/python/ffsim/tenpy/gates/ucj.py +++ b/python/ffsim/tenpy/gates/ucj.py @@ -24,7 +24,7 @@ def apply_ucj_op_spin_balanced( eng: TEBDEngine, ucj_op: UCJOpSpinBalanced, *, - norm_tol: float = 1e-5, + norm_tol: float = 1e-8, ) -> None: r"""Apply a spin-balanced unitary cluster Jastrow gate to an MPS. diff --git a/tests/python/tenpy/hamiltonians/molecular_hamiltonian_test.py b/tests/python/tenpy/hamiltonians/molecular_hamiltonian_test.py index 173d4bc5d..805e991f9 100644 --- a/tests/python/tenpy/hamiltonians/molecular_hamiltonian_test.py +++ b/tests/python/tenpy/hamiltonians/molecular_hamiltonian_test.py @@ -10,6 +10,8 @@ """Tests for the TeNPy molecular Hamiltonian.""" +import itertools + import numpy as np import pytest @@ -21,10 +23,10 @@ @pytest.mark.parametrize( "norb, nelec", [ - (4, (2, 2)), - (4, (1, 2)), - (4, (0, 2)), - (4, (0, 0)), + (2, (2, 2)), + (2, (1, 2)), + (2, (0, 2)), + (2, (0, 0)), ], ) def test_from_molecular_hamiltonian(norb: int, nelec: tuple[int, int]): @@ -41,24 +43,47 @@ def test_from_molecular_hamiltonian(norb: int, nelec: tuple[int, int]): ) mol_hamiltonian_mpo = mol_hamiltonian_mpo_model.H_MPO - # generate a random product state dim = ffsim.dim(norb, nelec) - idx = rng.integers(0, high=dim) - product_state = ffsim.linalg.one_hot(dim, idx) + for idx1, idx2 in itertools.product(range(dim), repeat=2): + # generate product states + product_state_1 = ffsim.linalg.one_hot(dim, idx1) + product_state_2 = ffsim.linalg.one_hot(dim, idx2) - # convert product state to MPS - strings_a, strings_b = ffsim.addresses_to_strings( - [idx], - norb=norb, - nelec=nelec, - bitstring_type=ffsim.BitstringType.STRING, - concatenate=False, - ) - product_state_mps = bitstring_to_mps( - (int(strings_a[0], 2), int(strings_b[0], 2)), norb - ) + # convert product states to MPS + strings_a_1, strings_b_1 = ffsim.addresses_to_strings( + [idx1], + norb=norb, + nelec=nelec, + bitstring_type=ffsim.BitstringType.STRING, + concatenate=False, + ) + product_state_mps_1 = bitstring_to_mps( + (int(strings_a_1[0], 2), int(strings_b_1[0], 2)), norb + ) + strings_a_2, strings_b_2 = ffsim.addresses_to_strings( + [idx2], + norb=norb, + nelec=nelec, + bitstring_type=ffsim.BitstringType.STRING, + concatenate=False, + ) + product_state_mps_2 = bitstring_to_mps( + (int(strings_a_2[0], 2), int(strings_b_2[0], 2)), norb + ) - # test expectation is preserved - original_expectation = np.vdot(product_state, hamiltonian @ product_state) - mpo_expectation = mol_hamiltonian_mpo.expectation_value_finite(product_state_mps) - np.testing.assert_allclose(original_expectation, mpo_expectation) + # test expectation is preserved + original_expectation = np.vdot(product_state_1, hamiltonian @ product_state_2) + mol_hamiltonian_mpo.apply_naively(product_state_mps_2) + mpo_expectation = product_state_mps_1.overlap(product_state_mps_2) + np.testing.assert_allclose( + abs(original_expectation.real), + abs(mpo_expectation.real), + rtol=1e-05, + atol=1e-08, + ) + np.testing.assert_allclose( + abs(original_expectation.imag), + abs(mpo_expectation.imag), + rtol=1e-05, + atol=1e-08, + )