Functions
def	generate_hamiltonian (n)

def	generate_hamiltonian_tmp (n)

Variables
dictionary	config

	eigval = np.real(eigvals[0])

	eigvec = eigvecs[:,0]

	entropy = VQE_Heisenberg.get_Second_Renyi_Entropy( parameters=parameters, qubit_list=qubit_list )

	entropy_exact_gs = VQE_Heisenberg.get_Second_Renyi_Entropy( parameters=np.array([]), qubit_list=[0,1], input_state=eigvec )

	flush

def	Hamiltonian = generate_hamiltonian_tmp( qbit_num )

	initial_state = np.zeros( (1 << qbit_num), dtype=np.complex128 )

int	inner_blocks = 1

	k

int	layers = 500

	linewidth

int	normalized_entropy = entropy/page_entropy

int	normalized_entropy_exact_gs = entropy_exact_gs/page_entropy

	overlap = state_to_transform.transpose().conjugate() @ eigvecs

	overlap_norm = np.real(overlap * overlap.conjugate())

int	page_entropy = 2 * np.log(2.0) - 1.0/( pow(2, qbit_num-2*2+1) )

	param_num = VQE_Heisenberg.get_Parameter_Num()

int	parameters = np.random.randn( param_num )2np.pi

int	qbit_num = 16

list	qubit_list = [0,1]

	state_to_transform = initial_state.copy()

list	topology = []

	VQE_energy = VQE_Heisenberg.Optimization_Problem( parameters )

	VQE_Heisenberg = Variational_Quantum_Eigensolver(Hamiltonian, qbit_num, config, accelerator_num=1)

	which

Function Documentation

◆ generate_hamiltonian()

def Heisenberg_VQE.generate_hamiltonian ( n )

Definition at line 43 of file Heisenberg_VQE.py.

◆ generate_hamiltonian_tmp()

def Heisenberg_VQE.generate_hamiltonian_tmp ( n )

Definition at line 20 of file Heisenberg_VQE.py.

Variable Documentation

◆ config

dictionary Heisenberg_VQE.config

Initial value:

 =  {"max_inner_iterations":800, 
      "batch_size": 128,
      "convergence_length": 20}

Definition at line 82 of file Heisenberg_VQE.py.

◆ eigval

Heisenberg_VQE.eigval = np.real(eigvals[0])

Definition at line 75 of file Heisenberg_VQE.py.

◆ eigvec

Heisenberg_VQE.eigvec = eigvecs[:,0]

Definition at line 76 of file Heisenberg_VQE.py.

◆ entropy

Heisenberg_VQE.entropy = VQE_Heisenberg.get_Second_Renyi_Entropy( parameters=parameters, qubit_list=qubit_list )

Definition at line 134 of file Heisenberg_VQE.py.

◆ entropy_exact_gs

Heisenberg_VQE.entropy_exact_gs = VQE_Heisenberg.get_Second_Renyi_Entropy( parameters=np.array([]), qubit_list=[0,1], input_state=eigvec )

Definition at line 112 of file Heisenberg_VQE.py.

◆ flush

Heisenberg_VQE.flush

Definition at line 117 of file Heisenberg_VQE.py.

◆ Hamiltonian

Heisenberg_VQE.Hamiltonian = generate_hamiltonian_tmp( qbit_num )

Definition at line 70 of file Heisenberg_VQE.py.

◆ initial_state

Heisenberg_VQE.initial_state = np.zeros( (1 << qbit_num), dtype=np.complex128 )

Definition at line 142 of file Heisenberg_VQE.py.

◆ inner_blocks

int Heisenberg_VQE.inner_blocks = 1

Definition at line 62 of file Heisenberg_VQE.py.

◆ k

Heisenberg_VQE.k

Definition at line 74 of file Heisenberg_VQE.py.

◆ layers

int Heisenberg_VQE.layers = 500

Definition at line 59 of file Heisenberg_VQE.py.

◆ linewidth

Heisenberg_VQE.linewidth

Definition at line 12 of file Heisenberg_VQE.py.

◆ normalized_entropy

int Heisenberg_VQE.normalized_entropy = entropy/page_entropy

Definition at line 135 of file Heisenberg_VQE.py.

◆ normalized_entropy_exact_gs

int Heisenberg_VQE.normalized_entropy_exact_gs = entropy_exact_gs/page_entropy

Definition at line 113 of file Heisenberg_VQE.py.

◆ overlap

Heisenberg_VQE.overlap = state_to_transform.transpose().conjugate() @ eigvecs

Definition at line 149 of file Heisenberg_VQE.py.

◆ overlap_norm

Heisenberg_VQE.overlap_norm = np.real(overlap * overlap.conjugate())

Definition at line 150 of file Heisenberg_VQE.py.

◆ page_entropy

float Heisenberg_VQE.page_entropy = 2 * np.log(2.0) - 1.0/( pow(2, qbit_num-2*2+1) )

Definition at line 111 of file Heisenberg_VQE.py.

◆ param_num

Heisenberg_VQE.param_num = VQE_Heisenberg.get_Parameter_Num()

Definition at line 99 of file Heisenberg_VQE.py.

◆ parameters

Heisenberg_VQE.parameters = np.random.randn( param_num )*2*np.pi

Definition at line 103 of file Heisenberg_VQE.py.

◆ qbit_num

int Heisenberg_VQE.qbit_num = 16

Definition at line 65 of file Heisenberg_VQE.py.

◆ qubit_list

list Heisenberg_VQE.qubit_list = [0,1]

Definition at line 131 of file Heisenberg_VQE.py.

◆ state_to_transform

Heisenberg_VQE.state_to_transform = initial_state.copy()

Definition at line 146 of file Heisenberg_VQE.py.

◆ topology

list Heisenberg_VQE.topology = []

Definition at line 18 of file Heisenberg_VQE.py.

◆ VQE_energy

Heisenberg_VQE.VQE_energy = VQE_Heisenberg.Optimization_Problem( parameters )

Definition at line 128 of file Heisenberg_VQE.py.

◆ VQE_Heisenberg

Heisenberg_VQE.VQE_Heisenberg = Variational_Quantum_Eigensolver(Hamiltonian, qbit_num, config, accelerator_num=1)

Definition at line 87 of file Heisenberg_VQE.py.

◆ which

Heisenberg_VQE.which