Exemple #1
0
    E_list = []
    update_error_list = [0.]

    ### DATA_DICT
    data_dict = {'t_list': t_list,
                 'E_list': E_list,
                 'update_error_list': update_error_list}

    for dep_idx in range(depth):
        # if dep_idx > 0:
        #     identity_layer = [np.eye(4).reshape([2, 2, 2, 2]) for i in range(L-1)]
        #     my_circuit.append(identity_layer)
        # else:
        #     random_layer = [qTEBD.random_2site_U(2) for i in range(L-1)]
        #     my_circuit.append(random_layer)
        random_layer = [qTEBD.random_2site_U(2) for i in range(L-1)]
        my_circuit.append(random_layer)
        current_depth = dep_idx + 1

    product_state = [np.array([1., 0.]).reshape([2, 1, 1]) for i in range(L)]
    mps_of_layer = qTEBD.circuit_2_mps(my_circuit, product_state)
    E_list.append(np.sum(mps_func.expectation_values(mps_of_layer[-1], H_list)))


    dir_path = 'data/1d_%s_g%.1f_h%.1f/L%d_depth%d/' % (Hamiltonian, g, h, L, depth)
    if not os.path.exists(dir_path):
        os.makedirs(dir_path)

    try:
        my_circuit, data_dict = misc.load_circuit_simple(dir_path)
        print("Old data found !!!")
Exemple #2
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    ## trotterization initialization

    idx = 0
    my_circuit = []
    t_list = [0]
    error_list = []
    num_iter_array = np.zeros([N_iter], dtype=np.int)

    ################# INITIALIZATION  ######################
    product_state = [np.array([1., 0.]).reshape([2, 1, 1]) for i in range(L)]
    if brickwall:
        for dep_idx in range(depth):
            random_layer = []
            for idx in range(L - 1):
                if (idx + dep_idx) % 2 == 0:
                    random_layer.append(qTEBD.random_2site_U(2))
                else:
                    random_layer.append(np.eye(4).reshape([2, 2, 2, 2]))

            my_circuit.append(random_layer)
            current_depth = dep_idx + 1

    else:  # not brickwall
        for dep_idx in range(depth):
            my_circuit.append([qTEBD.random_2site_U(2) for i in range(L - 1)])
            current_depth = dep_idx + 1

    result_mpo_list = qTEBD.circuit_2_mpo(my_circuit, mpo_base)
    result_mpo = result_mpo_list[-1]
    full_result_operator = mps_func.MPO_2_operator(result_mpo)
    err = np.linalg.norm(full_result_operator - full_operator)**2
Exemple #3
0
    Sz_array = np.zeros([N_iter, L], dtype=np.complex)
    ent_array = np.zeros([N_iter, L - 1], dtype=np.double)
    num_iter_array = np.zeros([N_iter], dtype=np.int)

    ################# CIRCUIT INITIALIZATION  ######################
    # product_state = [np.array([1., 0.]).reshape([2, 1, 1]) for i in range(L)]
    product_state = np.zeros([2**L], dtype=np.complex128)
    product_state[0] = 1.
    for dep_idx in range(depth):
        # identity_layer = [np.eye(4, dtype=np.complex).reshape([2, 2, 2, 2]) for i in range(L-1)]
        # my_circuit.append(identity_layer)

        random_layer = []
        for idx in range(L - 1):
            if (idx + dep_idx) % 2 == 0:
                random_layer.append(qTEBD.random_2site_U(2))
            else:
                random_layer.append(np.eye(4).reshape([2, 2, 2, 2]))

        my_circuit.append(random_layer)
        current_depth = dep_idx + 1

    iter_state = qTEBD.circuit_2_state(my_circuit, product_state)
    '''
    Sz_array[0, :] = mps_func.expectation_values_1_site(mps_of_layer[-1], Sz_list)
    ent_array[0, :] = mps_func.get_entanglement(mps_of_last_layer)
    '''
    fidelity_reached = np.abs(qTEBD.overlap_exact(target_state, iter_state))**2
    error_list.append(1. - fidelity_reached)

    stop_crit = 1e-1