def tree_dmrg_ipeps_kagome_gs(para=None, A=None):
from library.PEPSClass import TreePepsIdmrgKagome as Peps
is_print = True
t_start = time.time()
info = dict()
if is_print:
print('Start tree-DMRG on iPEPS kagome (Husimi) calculation')
if para is None:
para = pm.generate_parameters_tree_ipeps_kagome()
para = pm.make_para_consistent_tree_ipeps_kagome(para)
if A is None:
A = Peps(para['chi'], para['spin'])
ob = dict()
e1 = 0
de = 1
A.update_ort_tensor_kagome()
A.update_bath_onsite_kagome(para['j1'], para['j2'], para['hx'], para['hz'])
A.update_effective_ops_kagome()
# sweep
for t in range(0, para['sweep_time']):
A.update_central_tensor_kagome(para['tau'], para['j1'], para['j2'],
para['hx'], para['hz'])
if t % para['dt_ob'] == 0:
A.rho_from_central_tensor_kagome()
ob['eb'], ob['mag'], ob['energy_site'], ob['ent'] = A.observation_kagome(
para['j1'], para['j2'], para['hx'], para['hz'])
if is_print:
print('At the %g-th sweep: Eb = ' % t + str(e1))
de = sum(abs(ob['eb'] - e1)) / ob['eb'].__len__()
if de > para['break_tol']:
e1 = ob['eb']
elif is_print:
print('Converged with de = %g' % de)
break
if t == para['sweep_time']:
print('Not sufficiently converged with de = %g' % de)
A.update_ort_tensor_kagome()
A.update_bath_onsite_kagome(para['j1'], para['j2'], para['hx'], para['hz'])
A.update_effective_ops_kagome()
info['t_cost'] = time.time() - t_start
print('Energy per site = %g' % ob['energy_site'])
print('x-magnetization = ' + str(ob['mag']['x']))
print('z-magnetization = ' + str(ob['mag']['z']))
print('Entanglement = ' + str(ob['ent']))
print('Total time cost: %g' % info['t_cost'])
return A, ob, info
def __init__(self, para=Parameters.gtn(), debug_mode=False, device='cpu'):
# Initialize Parameters
Programclass.Program.__init__(self, device=device, dtype=para['dtype'])
MLclass.MachineLearning.__init__(self, para, debug_mode)
MPSclass.MPS.__init__(self)
self.initialize_parameters_gtn()
self.name_md5_generate()
self.debug_mode = debug_mode
# Initialize MPS and update info
if not debug_mode:
self.load_gtn()
# if not exist saved mps gtn model,then initialize
if len(self.tensor_data) == 0:
self.initialize_dataset()
# Initialize info
self.generate_tensor_info()
self.generate_update_info()
self.initialize_mps_gtn()
if not self.tensor_data[0].device == self.device:
for ii in range(len(self.tensor_data)):
self.tensor_data[ii] = torch.tensor(self.tensor_data[ii],
device=self.device)
if device == 'cuda': torch.cuda.empty_cache()
# Environment Preparation
self.tensor_input = tuple()
self.environment_left = tuple()
self.environment_right = tuple()
self.environment_zoom = tuple()
def decision_mps(para=None):
if para is None:
para = pm.parameters_decision_mps()
a = TNmachineLearning.DecisionTensorNetwork(
para['dataset'],
2,
para['chi'],
'mps',
para['classes'],
para['numbers'],
if_reducing_samples=para['if_reducing_samples'])
a.images2vecs_test_samples(para['classes'])
print(a.vLabel)
for n in range(0, a.length):
bf.print_sep()
print('Calculating the %i-th tensor' % n)
a.update_tensor_decision_mps_svd(n)
# a.update_tensor_decision_mps_svd_threshold_algo(n)
# a.update_tensor_decision_mps_gradient_algo(n)
a.update_v_ctr_train(n)
a.calculate_intermediate_accuracy_train(n)
if a.remaining_samples_train.__len__() == 0:
print('All samples are classified correctly. Training stopped.')
break
print('The current accuracy = %g' % a.intermediate_accuracy_train[n])
print('Entanglement: ' + str(a.lm[n].reshape(1, -1)))
if para['if_reducing_samples']:
print('Number of remaining samples: ' +
str(a.remaining_samples_train.__len__()))
def __init__(self, para=Parameters.ml(), debug_mode=False):
# initialize parameters
self.para = copy.deepcopy(para)
self.images_data = dict()
self.index = dict()
self.labels_data = dict()
self.update_info = dict()
self.data_info = dict()
self.tmp = {}
self.generative_model = ['GTN', 'GTN_Net']
self.discriminative_model = ['DTNC']
def gcmpm_one_class(para=None):
if para is None:
para = pm.parameters_gcmpm_one_class()
para['save_exp'] = save_exp_gcmpm_one_class(para)
if para['parallel'] is True:
par_pool = para['n_nodes']
else:
par_pool = None
if para['if_load'] and os.path.isfile(para['save_exp']):
a = bf.load_pr(os.path.join(para['data_path'], para['save_exp']), 'a')
else:
a = TNmachineLearning.MachineLearningMPS(para['d'], para['chi'], para['dataset'],
par_pool=par_pool)
a.images2vecs([para['class']], [100])
a.initialize_virtual_vecs_train()
a.update_virtual_vecs_train('all', 'all', 'both')
a.mps.correct_orthogonal_center(0, normalize=True)
a.mps.mps[0] /= np.linalg.norm(a.mps.mps[0].reshape(-1, ))
mps0 = a.mps.mps.copy()
for t in range(0, para['sweep_time']):
# from left to right
if para['if_print_detail']:
print('At the ' + str(t) + '-th sweep, from left to right')
for nt in range(0, a.length):
a.update_tensor_gradient(nt, para['step'])
if nt != a.length-1:
a.update_virtual_vecs_train('all', nt, 'left')
# from left to right
print('At the ' + str(t) + '-th sweep, from right to left')
for nt in range(a.length-1, -1, -1):
a.update_tensor_gradient(nt, para['step'])
if nt != 0:
a.update_virtual_vecs_train('all', nt, 'right')
if t > para['check_time0'] and ((t+1) % para['check_time'] == 0
or t+1 == para['sweep_time']):
fid = ln_fidelity_per_site(mps0, a.mps.mps)
if fid < (para['step'] * para['ratio_step_tol']):
print('After ' + str(t+1) + ' sweeps: fid = %g' % fid)
para['step'] *= para['step_ratio']
elif t+1 == para['sweep_time']:
print('After all ' + str(t+1) + ' sweeps finished, fid = %g. '
'Consider to increase the sweep times.' % fid)
else:
print('After ' + str(t+1) + ' sweeps, fid = %g.' % fid)
mps0 = a.mps.mps.copy()
if para['step'] < para['step_min']:
print('Now step = ' + str(para['step']) + ' is sufficiently small. Break the loop')
break
else:
print('Now step = ' + str(para['step']))
if para['if_save']:
save_pr(para['data_path'], para['save_exp'], [a, para], ['a', 'para'])
return a, para
def __init__(self, para=Parameters.gtnc(), debug_mode=False, device='cpu'):
# Initialize Parameters
Programclass.Program.__init__(self, device=device, dtype=para['dtype'])
MLclass.MachineLearning.__init__(self, para, debug_mode)
self.debug_mode = debug_mode
self.initialize_parameters_gtnc()
self.name_md5_generate()
self.inner_product = dict()
self.data_mapped = dict()
self.right_label = dict()
self.accuracy = dict()
self.test_info = dict()
self.is_all_gtn_trained = False
if not self.debug_mode:
self.load_accuracy()
def gtnc(para_tot=None):
print('Preparing parameters')
if para_tot is None:
para_tot = pm.parameters_gcmpm()
n_class = len(para_tot['classes'])
paras = bf.empty_list(n_class)
for n in range(0, n_class):
paras[n] = copy.deepcopy(para_tot)
paras[n]['class'] = int(para_tot['classes'][n])
paras[n]['chi'] = para_tot['chi'][n]
paras[n]['theta'] = para_tot['theta']
paras[n]['save_exp'] = save_exp_gtn_one_class(paras[n])
classifiers = bf.empty_list(n_class)
for n in range(0, n_class):
print_dict(paras[n])
data = para_tot['data_path'] + paras[n]['save_exp']
if para_tot['if_load'] and os.path.isfile(data):
print('The classifier already exists. Load directly')
classifiers[n] = load_pr(data, 'a')
else:
print('Training the MPS of ' + str(para_tot['classes'][n]))
classifiers[n] = gtn_one_class(paras[n])[0]
# if para_tot['if_save']:
# save_pr('../data_tnml/gcmpm/', paras[n]['save_exp'],
# [classifiers[n]], ['classifier'])
# classifiers[n].mps.check_orthogonality_by_tensors(tol=1e-12)
# ==================== Testing accuracy ====================
print('Calculating the testing accuracy')
b = TNmachineLearning.MachineLearningFeatureMap(para_tot['d'])
b.load_data(data_path='..\\..\\..\\MNIST\\',
file_sample='t10k-images.idx3-ubyte',
file_label='t10k-labels.idx1-ubyte',
is_normalize=True)
b.select_samples(para_tot['classes'])
if classifiers[0].is_dct:
b.dct(shift=para_tot['shift'], factor=para_tot['factor'])
b.images2vecs(para_tot['theta'] * np.pi / 2)
fid = bf.empty_list(n_class)
for n in range(0, n_class):
fid[n] = b.compute_fidelities(classifiers[n].mps.mps)
max_fid = np.argmin(np.hstack(fid), axis=1)
predict = np.zeros(max_fid.shape, dtype=int)
for n in range(0, n_class):
predict += (max_fid == n) * int(para_tot['classes'][n])
# plot(predict)
# plot(b.labels)
accuracy = np.sum(predict == b.labels, dtype=float) / b.numVecSample
print(accuracy)
def __init__(self,
para=Parameters.gtn_net(),
debug_mode=False,
device='cuda'):
# Initialize Parameters
self.para = para
Programclass.Program.__init__(self,
device=device,
dtype=para['dtype'],
debug_mode=debug_mode)
MPSclass.MPS.__init__(self)
MLclass.MachineLearning.__init__(self,
self.para,
debug_mode=debug_mode)
tc.nn.Module.__init__(self)
self.initialize_parameters_gtn_net()
self.name_md5_generate()
self.debug_mode = debug_mode
self.update_info = dict()
self.data_info = dict()
# Initialize MPS and update info
self.weight = None
self.tensor_shape = None
if not debug_mode:
self.load_weight()
if self.weight is None:
self.initialize_dataset()
self.generate_tensor_info()
self.generate_update_info()
self.initialize_mps_gtn_net()
self.initialize_tensor_shape()
self.weight = tc.nn.Parameter(
tc.empty((self.tensor_info['n_length'],
self.tensor_info['tensor_initialize_bond'],
self.tensor_info['physical_bond'],
self.tensor_info['tensor_initialize_bond']),
device=self.device,
dtype=self.dtype))
self.initialize_weight()
self.tensor_input = None
self.opt = None
self.initialize_opt()
self.fun = tc.nn.LogSoftmax(dim=0)
def gcmpm(para_tot=None):
print('Preparing parameters')
if para_tot is None:
para_tot = pm.parameters_gcmpm()
n_class = len(para_tot['classes'])
paras = bf.empty_list(n_class)
for n in range(0, n_class):
paras[n] = para_tot.copy()
paras[n]['class'] = para_tot['classes'][n]
paras[n]['chi'] = para_tot['chi'][n]
paras[n]['save_exp'] = save_exp_gcmpm_one_class(paras[n])
classifiers = bf.empty_list(n_class)
for n in range(0, n_class):
data = '../data_tnml/gcmpm/' + paras[n]['save_exp']
if para_tot['if_load'] and os.path.isfile(data):
print('The classifier already exists. Load directly')
classifiers[n] = load_pr(data, 'classifier')
else:
print('Training the MPS of ' + str(para_tot['classes'][n]))
classifiers[n] = gcmpm_one_class(paras[n])[0]
if para_tot['if_save']:
save_pr('../data_tnml/gcmpm/', paras[n]['save_exp'],
[classifiers[n]], ['classifier'])
# Testing accuracy
print('Calculating the testing accuracy')
labels = para_tot['classes']
b = TNmachineLearning.MachineLearningFeatureMap('MNIST', para_tot['d'],
file_sample='t10k-images.idx3-ubyte',
file_label='t10k-labels.idx1-ubyte')
b.images2vecs(para_tot['classes'], ['all', 'all'])
fid = np.zeros((n_class, ))
num_wrong = 0
for ni in range(0, b.numVecSample):
for n in range(0, n_class):
fid[n] = b.fidelity_mps_image(classifiers[n].mps.mps, ni)
n_max = int(np.argmax(fid))
if labels[n_max] != b.LabelNow[ni]:
num_wrong += 1
accuracy = num_wrong/b.numVecSample
print(accuracy)
from library import MPSMLclass
from library import Parameters
para = Parameters.gtn()
GTN = MPSMLclass.GTN(para=para,
device='cpu') # change device='cuda' to use GPU
GTN.start_learning()
def deep_dmrg_infinite_size(para=None):
from library.MPSClass import MpsDeepInfinite as Minf
is_print = True
t_start = time.time()
info = dict()
if is_print:
print('Start deep DMRG calculation')
if para is None:
para = pm.generate_parameters_deep_mps_infinite()
hamilt = hamiltonian_heisenberg(para['spin'], para['jxy'], para['jxy'],
para['jz'], -para['hx'] / 2,
-para['hz'] / 2)
tensor = hamiltonian2cell_tensor(hamilt, para['tau'])
A = Minf(para['form'],
para['d'],
para['chi'],
para['d'],
para['chib0'],
para['chib'],
para['is_symme_env'],
n_site=para['n_site'],
is_debug=is_debug)
# use standard DMRG to get the GS MPS
A, ob0, info0 = dmrg_infinite_size(para, A, hamilt)
# get uMPO from the MPS
A.get_unitary_mpo_from_mps()
if A.n_site == 1:
e0 = 0
e1 = 1
else:
e0 = np.zeros((1, 3))
e1 = np.ones((1, 3))
de = 1
for t in range(0, para['sweep_time']):
A.update_ort_tensor_dmps('left')
A.update_left_env_dmps_simple(tensor)
if not A.is_symme_env:
A.update_ort_tensor_dmps('right')
A.update_right_env_dmps_simple(tensor)
A.update_central_tensor_dmps(tensor)
if t % para['dt_ob'] == 0:
A.rho_from_central_tensor_dmps()
e1 = A.observe_energy(hamilt)
if is_print:
print('At the %g-th sweep: Eb = ' % t + str(e1))
de = np.sum(abs(e0 - e1))
if de > para['break_tol']:
e0 = e1
elif is_print:
print('Converged with de = %g' % de)
break
if t == para['sweep_time']:
print('Not sufficiently converged with de = %g' % de)
ob = {'eb': e1}
info['t_cost'] = time.time() - t_start
if is_print:
print('Total time cost: %g' % info['t_cost'])
return A, ob, info, ob0, info0
from algorithms.DMRG_anyH import dmrg_finite_size
from library import Parameters as Pm
para = Pm.generate_parameters_dmrg('husimi')
para['spin'] = 'half'
para['depth'] = 2
# The interactions are assumed to be uniform; if not, use parameter_dmrg_arbitrary instead
para['jxy'] = 1
para['jz'] = 1
para['hx'] = 0
para['hz'] = 0
para['chi'] = 32 # Virtual bond dimension cut-off
para['eigWay'] = 1
para = Pm.make_consistent_parameter_dmrg(para)
ob, A, info1, para1 = dmrg_finite_size(para)
print(ob['e_per_site'])
# -*- encoding: utf-8 -*-
from library import MPSMLclass
from library import Parameters
import matplotlib.pyplot as plt
import numpy as np
import json
import copy
para = Parameters.gtnc()
# get the relation between cutting dimention and testing accuracy
batch_bond = []
batch_acc = []
saved_para = dict()
for i in range(1, 9):
bond = 2**i # get the cutting bond
para['virtual_bond_limitation'] = bond
print('The current cutting bond is %d' % bond)
A = MPSMLclass.GTNC(para=para,
device='cpu') # change device='cuda' to use GPU
A.training_gtn() # if the GTN are not trained
acc = A.calculate_accuracy('test')
print('Bond {0} acc is {1}'.format(bond, acc))
batch_bond.append(bond)
# para[''] = acc
batch_acc.append(acc)
counterpart_para = copy.deepcopy(para)
for item in counterpart_para.keys():
counterpart_para[item] = str(counterpart_para[item])
counterpart_para['Accuracy'] = acc
saved_para["bond" + str(bond)] = counterpart_para
from library import TNMLclass from library import Parameters as Pa pa = Pa.gtn_net() A = TNMLclass.GTN_Net(para=pa, device='cuda:0', debug_mode=False) A.start_learning()
def labeled_gtn(para):
if para is None:
para = pm.parameters_labeled_gtn()
para['save_exp'] = save_exp_labeled_gtn(para)
if para['parallel'] is True:
par_pool = para['n_nodes']
else:
par_pool = None
# Preparing testing dataset
b = TNmachineLearning.MachineLearningFeatureMap(
para['d'],
file_sample='t10k-images.idx3-ubyte',
file_label='t10k-labels.idx1-ubyte')
b.load_data()
b.select_samples(para['classes'])
b.add_labels_to_images()
b.images2vecs(para['theta'])
data_file = os.path.join(para['data_path'], para['save_exp'])
if para['if_load'] and os.path.isfile(data_file):
print('Data exist. Load directly.')
a = bf.load_pr(data_file, 'a')
else:
a = TNmachineLearning.MachineLearningMPS(para['d'],
para['chi'],
para['dataset'],
par_pool=par_pool)
a.load_data()
a.select_samples(para['classes'])
a.add_labels_to_images()
a.images2vecs(para['theta'] * np.pi / 2)
a.initial_mps()
a.mps.correct_orthogonal_center(0, normalize=True)
a.initialize_virtual_vecs_train()
a.update_virtual_vecs_train_all_tensors('both')
accuracy0 = 0
for t in range(0, para['sweep_time']):
# from left to right
for nt in range(0, a.length):
a.update_tensor_gradient(nt, para['step'])
if nt != a.length - 1:
a.update_virtual_vecs_train(nt, 'left')
# from left to right
for nt in range(a.length - 1, -1, -1):
a.update_tensor_gradient(nt, para['step'])
if nt != 0:
a.update_virtual_vecs_train(nt, 'right')
if t > para['check_time0'] and ((t + 1) % para['check_time'] == 0
or t + 1 == para['sweep_time']):
b.input_mps(a.mps)
accuracy = b.calculate_accuracy()
print('After the ' + str(t) +
'-th sweep, the testing accuracy = ' + str(accuracy))
if abs(accuracy - accuracy0) < (para['step'] *
para['ratio_step_tol']):
para['step'] *= para['step_ratio']
accuracy0 = accuracy
print('Converged. Reduce the gradient step to ' +
str(para['step']))
elif t + 1 == para['sweep_time']:
print('After all ' + str(t + 1) +
' sweeps finished, not converged. '
'Consider to increase the sweep times.')
else:
accuracy0 = accuracy
if para['step'] < para['step_min']:
print('Now step = ' + str(para['step']) +
' is sufficiently small. Break the loop')
break
else:
print('Now step = ' + str(para['step']))
a.clear_before_save()
if para['if_save']:
save_pr(para['data_path'], para['save_exp'], [a, para],
['a', 'para'])
accuracy = b.calculate_accuracy()
print('The final testing accuracy = ' + str(accuracy))
return a, para
from library import TNMLclass from library import Parameters as Pa pa = Pa.gtn() A = TNMLclass.GTN(para=pa, device='cuda:0', debug_mode=False) A.start_learning()
def gtn_one_class(para=None, images=None, labels=None):
if 'to_black_and_white' not in para:
para['to_black_and_white'] = False
if para is None:
para = pm.parameters_gtn_one_class()
para['save_exp'] = save_exp_gtn_one_class(para)
if para['if_load'] and os.path.isfile(
os.path.join(para['data_path'], para['save_exp'])):
a = bf.load_pr(os.path.join(para['data_path'], para['save_exp']), 'a')
else:
a = TNmachineLearning.MachineLearningMPS(para['d'], para['chi'],
para['dataset'])
if para['dataset'] is 'custom':
a.input_data(copy.deepcopy(images), copy.deepcopy(labels))
else:
a.load_data()
if a.is_there_labels:
a.select_samples([para['class']])
if para['to_black_and_white']:
a.to_black_and_white()
if para['dct'] is True:
a.dct(shift=para['shift'], factor=para['factor'])
a.images2vecs(theta_max=para['theta'] * np.pi / 2)
a.initial_mps(center=0, ini_way='1')
a.initialize_virtual_vecs_train()
a.mps.correct_orthogonal_center(0)
a.update_tensor_gradient(0, para['step'])
nll0 = a.compute_nll()
step = copy.deepcopy(para['step'])
print('Iniitially, NLL = ' + str(nll0))
for t in range(0, para['sweep_time']):
# from left to right
if para['if_print_detail']:
print('At the ' + str(t + 1) + '-th sweep, from left to right')
t0 = time.time()
tt0 = time.clock()
for nt in range(0, a.length):
a.mps.correct_orthogonal_center(nt)
if nt != 0:
a.update_virtual_vecs_train(nt - 1, 'left')
a.update_tensor_gradient(nt, step)
# from right to left
if para['if_print_detail']:
print('At the ' + str(t + 1) + '-th sweep, from right to left')
for nt in range(a.length - 1, -1, -1):
a.mps.correct_orthogonal_center(nt)
if nt != a.length - 1:
a.update_virtual_vecs_train(nt + 1, 'right')
a.update_tensor_gradient(nt, step)
if para['if_print_detail']:
print('Wall time cost for one loop: %s' % (time.time() - t0))
print('CPU time cost for one loop: %s' % (time.clock() - tt0))
if t > (para['check_time0'] - 2) and (
(t + 1) % para['check_time'] == 0
or t + 1 == para['sweep_time']):
nll = a.compute_nll()
print('NLL = ' + str(nll))
# fid = fidelity_per_site(mps0, a.mps.mps)
fid = abs(nll - nll0) / nll0
if fid < (step * para['step_ratio']):
print('After ' + str(t + 1) + ' sweeps: fid = %g' % fid)
step *= para['step_ratio']
# mps0 = copy.deepcopy(a.mps.mps)
nll0 = nll
elif t + 1 == para['sweep_time']:
print('After all ' + str(t + 1) +
' sweeps finished, fid = %g. '
'Consider to increase the sweep times.' % fid)
else:
print('After ' + str(t + 1) + ' sweeps, fid = %g.' % fid)
# mps0 = copy.deepcopy(a.mps.mps)
nll0 = nll
if step < para['step_min']:
print('Now step = ' + str(step) +
' is sufficiently small. Break the loop')
break
else:
print('Now step = ' + str(step))
a.clear_before_save()
if para['if_save']:
save_pr(para['data_path'], para['save_exp'], [a, para],
['a', 'para'])
return a, para
def super_orthogonalization_honeycomb(para=None):
if para is None:
para = pm.generate_parameters_so_honeycomb()
peps = PepsInfinite(para['lattice'], para['chi'], para['state_type'],
ini_way=para['ini_way'], is_debug=para['is_debug'])
h = hm.hamiltonian_heisenberg(para['spin'], para['jxy'], para['jxy'], para['jz'],
para['hx'], para['hz'])
op = hm.spin_operators(para['spin'])
ob = dict()
if para['state_type'] is 'pure':
ob['mx'] = np.zeros((para['tau'].__len__(), peps.nTensor))
ob['mz'] = np.zeros((para['tau'].__len__(), peps.nTensor))
ob['eb'] = np.zeros((para['tau'].__len__(), peps.nLm))
else:
ob['mx'] = np.zeros((para['beta'].__len__(), peps.nTensor))
ob['mz'] = np.zeros((para['beta'].__len__(), peps.nTensor))
ob['eb'] = np.zeros((para['beta'].__len__(), peps.nLm))
ob['e_site'] = np.zeros((para['beta'].__len__(), ))
if para['state_type'] is 'pure':
for n_tau in range(0, para['tau'].__len__()):
gate_t = hm.hamiltonian2gate_tensors(h, para['tau'][n_tau], 'exp')
eb0 = np.ones((peps.nLm, ))
eb = np.zeros((peps.nLm, ))
for t in range(1, round(para['beta']/para['tau'][n_tau]) + 1):
for n_lm in range(0, peps.nLm):
peps.evolve_once_tensor_and_lm(gate_t[0], gate_t[1], n_lm)
if para['so_time'] == 0:
peps.super_orthogonalization(n_lm)
else:
peps.super_orthogonalization('all', it_time=para['so_time'])
# if is_debug:
# peps.check_super_orthogonality()
if t % para['dt_ob'] == 0:
rho2 = peps.rho_two_body_simple('all')
for nr in range(0, peps.nLm):
eb[nr] = rho2[nr].reshape(1, -1).dot(h.reshape(-1, 1))
if para['if_print']:
print('For tau = %g, t = %g: ' % (para['tau'][n_tau], t) +
'bond energy = ' + str(eb))
err = np.linalg.norm(eb0 - eb)
if err < para['tol']:
ob['eb'][n_tau, :] = eb.copy()
rho1 = peps.rho_one_body_simple('all')
for nr in range(0, peps.nTensor):
ob['mx'][n_tau, nr] = rho1[nr].reshape(1, -1).dot(op['sx'].reshape(-1, 1))
ob['mz'][n_tau, nr] = rho1[nr].reshape(1, -1).dot(op['sz'].reshape(-1, 1))
if para['if_print']:
print('Converged with error = %g' % err)
break
else:
eb0 = eb.copy()
elif para['state_type'] is 'mixed':
gate_t = hm.hamiltonian2gate_tensors(h, para['tau'], 'exp')
beta_now = 0
t_ob = 0
for t in range(0, int(1e-6 + para['beta'][-1]/para['tau'])):
for n_lm in range(0, peps.nLm):
peps.evolve_once_tensor_and_lm(gate_t[0], gate_t[1], n_lm)
if para['so_time'] == 0:
peps.super_orthogonalization(n_lm)
else:
peps.super_orthogonalization('all', it_time=para['so_time'])
# if is_debug:
# peps.check_super_orthogonality()
beta_now += para['tau']
if abs(para['beta'][t_ob] - beta_now) < 1e-8:
rho2 = peps.rho_two_body_simple('all')
for nr in range(0, peps.nLm):
ob['eb'][t_ob, nr] = rho2[nr].reshape(1, -1).dot(h.reshape(-1, 1))
ob['e_site'][t_ob] = np.sum(ob['eb'][t_ob, :]) / 2
if para['if_print']:
print('For beta = %g: ' % beta_now + 'energy per site = ' + str(ob['e_site'][t_ob]))
rho1 = peps.rho_one_body_simple('all')
for nr in range(0, peps.nTensor):
ob['mx'][t_ob, nr] = rho1[nr].reshape(1, -1).dot(op['sx'].reshape(-1, 1))
ob['mz'][t_ob, nr] = rho1[nr].reshape(1, -1).dot(op['sz'].reshape(-1, 1))
t_ob += 1
para['data_exp'] = 'HoneycombSO_' + para['state_type'] + '_j(%g,%g)_h(%g,%g)_chi%d' % \
(para['jxy'], para['jz'], para['hx'], para['hz'],
para['chi'])
save(para['data_path'], para['data_exp'], [peps, para, ob], ['peps', 'para', 'ob'])
def dmrg_infinite_size(para=None, A=None, hamilt=None):
from library.MPSClass import MpsInfinite as Minf
is_print = True
t_start = time.time()
info = dict()
if is_print:
print('Start ' + str(para['n_site']) + '-site iDMRG calculation')
if para is None:
para = pm.generate_parameters_infinite_dmrg_sawtooth()
if hamilt is None:
hamilt = hamiltonian_heisenberg(para['spin'], para['jxy'], para['jxy'],
para['jz'], para['hx'] / 2,
para['hz'] / 2)
if A is None:
if para['dmrg_type'] is 'mpo':
d = para['d']**para['n_site']
else:
d = para['d']
A = Minf(para['form'],
d,
para['chi'],
para['d']**para['n_site'],
n_site=para['n_site'],
is_symme_env=para['is_symme_env'],
dmrg_type=para['dmrg_type'],
hamilt_index=para['hamilt_index'])
if A.dmrg_type is 'mpo':
tensor = hamiltonian2cell_tensor(hamilt, para['tau'])
else:
tensor = np.zeros(0)
if A.n_site == 1:
# singe-site iDMRG
e0 = 0
e1 = 1
else:
# double-site iDMRG (including White's way)
e0 = np.zeros((1, 3))
e1 = np.ones((1, 3))
de = 1
if A.is_symme_env:
A.update_ort_tensor_mps('left')
if A.dmrg_type is 'white':
A.update_bath_onsite()
A.update_effective_ops()
else:
A.update_left_env(tensor)
else:
A.update_ort_tensor_mps('both')
A.update_left_env(tensor)
A.update_right_env(tensor)
# iDMRG sweep
for t in range(0, para['sweep_time']):
if A.dmrg_type is 'mpo':
A.update_central_tensor(tensor)
else:
A.update_central_tensor((para['tau'], 'full'))
if t % para['dt_ob'] == 0:
A.rho_from_central_tensor()
e1 = A.observe_energy(hamilt)
if is_print:
print('At the %g-th sweep: Eb = ' % t + str(e1))
de = np.sum(abs(e0 - e1)) / A.n_site
if de > para['break_tol']:
e0 = e1
elif is_print:
print('Converged with de = %g' % de)
break
if t == para['sweep_time']:
print('Not sufficiently converged with de = %g' % de)
if A.is_symme_env:
A.update_ort_tensor_mps('left')
if A.dmrg_type is 'mpo':
A.update_left_env(tensor)
else:
A.update_bath_onsite()
A.update_effective_ops()
else:
A.update_ort_tensor_mps('both')
A.update_left_env(tensor)
A.update_right_env(tensor)
ob = {'eb': e1}
info['t_cost'] = time.time() - t_start
if is_print:
print('Total time cost: %g' % info['t_cost'])
return A, ob, info
# num_samples = 100
# h1 = np.random.rand(num_samples, 1) * delta
# h2 = np.random.rand(num_samples, 1) * delta + (0.82 - delta)
# h = np.vstack((h1, h2))
gap = [0.5]
for delta in gap:
num_samples = 100
h1 = np.random.rand(num_samples, 1) * delta
h2 = np.random.rand(num_samples, 1) * delta + (1 - delta)
h = np.vstack((h1, h2))
j = [1]
tol = 1e-4 # to judge if the state has two-fold degeneracy
lattice = 'chain'
para = pm.generate_parameters_dmrg(lattice)
para['spin'] = 'one'
para['bound_cond'] = 'periodic'
para['chi'] = 128
para['l'] = 12
para['jxy'] = 1
para['hx'] = 0
model = 'Spin_' + para['spin'] + '_' + lattice
# para['data_path'] = '..\\dataQubism\\states_' + model + '\\'
para['data_path'] = 'E:\\tmpData\\states_' + model + '\\'
para[
'image_path'] = '..\\dataQubism\\images_' + model + '\\train 0-' + str(
delta)
mkdir(para['data_path'])
mkdir(para['image_path'])
def dmrg_finite_size(para=None):
from library.MPSClass import MpsOpenBoundaryClass as Mob
t_start = time.time()
info = dict()
print('Preparing the parameters and MPS')
if para is None:
para = pm.generate_parameters_dmrg()
# Initialize MPS
is_parallel = para['isParallel']
if is_parallel or para['isParallelEnvLMR']:
par_pool = dict()
par_pool['n'] = n_nodes
par_pool['pool'] = ThreadPool(n_nodes)
else:
par_pool = None
A = Mob(length=para['l'],
d=para['d'],
chi=para['chi'],
way='qr',
ini_way='r',
operators=para['op'],
debug=is_debug,
is_parallel=para['isParallel'],
par_pool=par_pool,
is_save_op=para['is_save_op'],
eig_way=para['eigWay'],
is_env_parallel_lmr=para['isParallelEnvLMR'])
A.correct_orthogonal_center(para['ob_position'])
print('Starting to sweep ...')
e0_per_site = 0
info['convergence'] = 1
ob = dict()
for t in range(0, para['sweep_time']):
if_ob = ((t + 1) % para['dt_ob'] == 0) or t == (para['sweep_time'] - 1)
if if_ob:
print('In the %d-th round of sweep ...' % (t + 1))
for n in range(para['ob_position'] + 1, para['l']):
if para['if_print_detail']:
print('update the %d-th tensor from left to right...' % n)
A.update_tensor_eigs(n,
para['index1'],
para['index2'],
para['coeff1'],
para['coeff2'],
para['tau'],
para['is_real'],
tol=para['eigs_tol'])
for n in range(para['l'] - 2, -1, -1):
if para['if_print_detail']:
print('update the %d-th tensor from right to left...' % n)
A.update_tensor_eigs(n,
para['index1'],
para['index2'],
para['coeff1'],
para['coeff2'],
para['tau'],
para['is_real'],
tol=para['eigs_tol'])
for n in range(1, para['ob_position']):
if para['if_print_detail']:
print('update the %d-th tensor from left to right...' % n)
A.update_tensor_eigs(n,
para['index1'],
para['index2'],
para['coeff1'],
para['coeff2'],
para['tau'],
para['is_real'],
tol=para['eigs_tol'])
if if_ob:
ob['eb_full'] = A.observe_bond_energy(para['index2'],
para['coeff2'])
ob['mx'] = A.observe_magnetization(1)
ob['mz'] = A.observe_magnetization(3)
ob['e_per_site'] = (sum(ob['eb_full']) - para['hx'] * sum(ob['mx'])
- para['hz'] * sum(ob['mz'])) / A.length
# if para['lattice'] in ('square', 'chain'):
# ob['e_per_site'] = (sum(ob['eb_full']) - para['hx']*sum(ob['mx']) - para['hz'] *
# sum(ob['mz']))/A.length
# else:
# ob['e_per_site'] = sum(ob['eb_full'])
# for n in range(0, para['l']):
# ob['e_per_site'] += para['hx'][n] * ob['mx'][n]
# ob['e_per_site'] += para['hz'][n] * ob['mz'][n]
# ob['e_per_site'] /= A.length
info['convergence'] = abs(ob['e_per_site'] - e0_per_site)
if info['convergence'] < para['break_tol']:
print(
'Converged at the %d-th sweep with error = %g of energy per site.'
% (t + 1, info['convergence']))
break
else:
print('Convergence error of energy per site = %g' %
info['convergence'])
e0_per_site = ob['e_per_site']
if t == para['sweep_time'] - 1 and info['convergence'] > para[
'break_tol']:
print('Not converged with error = %g of eb per bond' %
info['convergence'])
print('Consider to increase para[\'sweep_time\']')
ob['eb'] = get_bond_energies(ob['eb_full'], para['positions_h2'],
para['index2'])
A.calculate_entanglement_spectrum()
A.calculate_entanglement_entropy()
ob['corr_x'] = A.observe_correlators_from_middle(1, 1)
ob['corr_z'] = A.observe_correlators_from_middle(3, 3)
info['t_cost'] = time.time() - t_start
print('Simulation finished in %g seconds' % info['t_cost'])
A.clean_to_save()
if A._is_parallel:
par_pool['pool'].close()
return ob, A, info, para
def dmrg_infinite_size_sawtooth(para=None, A=None):
from library.MPSClass import MpsInfiniteSawtooth as Minf
is_print = True
t_start = time.time()
info = dict()
if is_print:
print('Start ' + str(para['n_site']) +
'-site iDMRG (sawtooth) calculation')
if para is None:
para = pm.generate_parameters_infinite_dmrg_sawtooth()
para = pm.make_para_consistent_idmrg_sawtooth(para)
if A is None:
d = para['d']
A = Minf(para['form'],
d,
para['chi'],
para['d']**para['n_site'],
n_site=para['n_site'],
is_symme_env=para['is_symme_env'],
dmrg_type=para['dmrg_type'],
spin=para['spin'])
ob = dict()
e1 = 0
de = 1
A.update_ort_tensor_mps_sawtooth()
A.update_bath_onsite_sawtooth(para['j1'], para['j2'], para['hx'],
para['hz'])
A.update_effective_ops_sawtooth()
# iDMRG sweep
for t in range(0, para['sweep_time']):
A.update_central_tensor_sawtooth(para['tau'], para['j1'], para['j2'],
para['hx'], para['hz'])
if t % para['dt_ob'] == 0:
A.rho_from_central_tensor_sawtooth()
ob['eb'], ob['mag'], ob['energy_site'], ob[
'ent'] = A.observation_sawtooth(para['j1'], para['j2'],
para['hx'], para['hz'])
if is_print:
print('At the %g-th sweep: Eb = ' % t + str(e1))
de = sum(abs(ob['eb'] - e1)) / ob['eb'].__len__()
if de > para['break_tol']:
e1 = ob['eb']
elif is_print:
print('Converged with de = %g' % de)
break
if t == para['sweep_time']:
print('Not sufficiently converged with de = %g' % de)
A.update_ort_tensor_mps_sawtooth()
A.update_bath_onsite_sawtooth(para['j1'], para['j2'], para['hx'],
para['hz'])
A.update_effective_ops_sawtooth()
info['t_cost'] = time.time() - t_start
print('Energy per site = %g' % ob['energy_site'])
print('x-magnetization = ' + str(ob['mag']['x']))
print('z-magnetization = ' + str(ob['mag']['z']))
print('Entanglement = ' + str(ob['ent']))
print('Total time cost: %g' % info['t_cost'])
return A, ob, info
from algorithms.DMRG_anyH import dmrg_finite_size
from library import Parameters as Pm
import numpy as np
from os import path
from library.BasicFunctions import load_pr, save_pr, plot, output_txt, get_size
from algorithms.DeepMPSfinite import parameters_dmps, deep_mps_qubit, \
fidelities_to_original_state, act_umpo_on_mps
from library.TensorBasicModule import open_mps_product_state_spin_up
"""
NOTE: for Linux, add the fold "T-Nalg" in your system path
"""
para_dmrg = Pm.generate_parameters_dmrg(
'chain') # set default parameters of DMRG
para_dmrg['spin'] = 'half' # spin-half model
para_dmrg['bound_cond'] = 'open' # open boundary condition
para_dmrg['chi'] = 48 # dimension cut-off of DMRG
para_dmrg['l'] = 48 # system size
para_dmrg['jxy'] = 0 # coupling constant - jx and jy in the Heisenberg model
para_dmrg['jz'] = 1 # coupling constant - jz in the Heisenberg model
para_dmrg['hx'] = 0.3 # magnetic field in the x direction
para_dmrg['hz'] = 0 # magnetic field in the z direction
para_dmrg = Pm.make_consistent_parameter_dmrg(
para_dmrg) # check consistency of the parameters
para_dmps = parameters_dmps() # set default parameters of MPS encoding
para_dmps['num_layers'] = 9 # number of the MPU layers in the circuit
para_dmps['chi_overlap'] = 256 # dimension cut-off of the disentangled MPS
# calculate the ground state by DMRG
pre_fix = path.basename(__file__)[:-3] + '_'
if path.isfile(path.join(para_dmrg['data_path'],