unify examples docstring format

Author: refraction-ray

examples/adiabatic_vqnhe.py

@@ -1,6 +1,7 @@
 """
 Calculate the molecule dissociation curve using VQNHE.
 """
+
 from functools import partial
 import sys
 

examples/bp_benchmark.py

@@ -1,6 +1,7 @@
 """
 benchmark on barren plateau using tfq and tc
 """
+
 import os
 
 os.environ["TF_FORCE_GPU_ALLOW_GROWTH"] = "true"

examples/bp_validation.py

@@ -2,6 +2,7 @@
 Compute the circuit gradient with single qubit random Haar averaged to
 demonstrate the gradient vanishing, aka, barren plateau.
 """
+
 import numpy as np
 from tqdm import tqdm
 import tensorcircuit as tc

examples/chaotic_behavior.py

@@ -1,6 +1,7 @@
 """
 Some chaotic properties calculations from the circuit state.
 """
+
 from functools import partial
 import sys
 

examples/ghz_dqas.py

@@ -1,6 +1,7 @@
 """
 DQAS for GHZ state preparation circuit, deprecated DQAS implementation
 """
+
 import sys
 
 sys.path.insert(0, "../")

examples/hamiltonian_building.py

@@ -1,6 +1,7 @@
 """
 benchmark sparse hamiltonian building
 """
+
 import time
 import numpy as np
 import quimb

examples/incremental_twoqubit.py

@@ -2,6 +2,7 @@
 Optimizing the parameterized circuit with progressively dense two-qubit gates,
 as a potential approach to alleviate barren plateau.
 """
+
 import sys
 
 sys.path.insert(0, "../")

examples/jsonio.py

@@ -2,6 +2,7 @@
 example showcasing how circuit can be load from and dump to json:
 useful for storage or restful api
 """
+
 import numpy as np
 import tensorcircuit as tc
 

examples/mcnoise_check.py

@@ -1,6 +1,7 @@
 """
 Cross check the correctness of the density matrix simulator and the Monte Carlo trajectory state simulator.
 """
+
 import os
 
 os.environ["CUDA_VISIBLE_DEVICES"] = "-1"

examples/mera_extra_mpo.py

@@ -1,3 +1,7 @@
+"""
+MERA VQE example with Hamiltonian expectation in MPO representation
+"""
+
 import time
 import logging
 import numpy as np

examples/mipt.py

@@ -1,6 +1,7 @@
 """
 demo example of mipt in tc style
 """
+
 from functools import partial
 import time
 import numpy as np

examples/mpsvsexact.py

@@ -1,6 +1,7 @@
 """
 A simple script to benchmark the approximation power of the MPS simulator.
 """
+
 import sys
 
 sys.path.insert(0, "../")

examples/optperformance_comparison.py

@@ -2,6 +2,7 @@
 Optimization for performance comparison for different densities of two-qubit gates
 (random layouts averaged).
 """
+
 import sys
 
 sys.path.insert(0, "../")

examples/qaoa_parallel_opt.py

@@ -1,3 +1,7 @@
+"""
+Depracated, using ``vectorized_value_and_grad`` instead for batched optimization
+"""
+
 import sys
 
 sys.path.insert(0, "../")

examples/qaoa_shot_noise.py

@@ -1,6 +1,7 @@
 """
 QAOA with finite measurement shot noise
 """
+
 from functools import partial
 import numpy as np
 from scipy import optimize

examples/qem_dqas.py

@@ -1,6 +1,7 @@
 """
 DQAS for QFT QEM circuit design, deprecated DQAS implementation
 """
+
 import sys
 
 sys.path.insert(0, "../")

examples/readout_mitigation.py

@@ -1,3 +1,7 @@
+"""
+Demonstration on readout error mitigation usage
+"""
+
 import numpy as np
 
 import tensorcircuit as tc

examples/sample_value_gradient.py

@@ -1,6 +1,7 @@
 """
 Evaluate expectation and gradient on Pauli string sum with finite measurement shots
 """
+
 from functools import partial
 import numpy as np
 import tensorcircuit as tc

examples/simple_qaoa.py

@@ -1,6 +1,7 @@
 """
 A plain QAOA optimization example with given graphs using networkx.
 """
+
 import sys
 
 sys.path.insert(0, "../")

examples/vqe_shot_noise.py

@@ -1,6 +1,7 @@
 """
 VQE with finite measurement shot noise
 """
+
 from functools import partial
 import numpy as np
 from scipy import optimize

examples/vqnhe_h6.py

@@ -1,6 +1,7 @@
 """
 H6 molecule VQNHE with code from tc.application
 """
+
 import sys
 
 sys.path.insert(0, "../")