@@ -36,7 +36,8 @@ def orbital_id(grid, grid_coordinates, spin=None):
3636 If None, assume spinless model.
3737
3838 Returns:
39- tensor_factor: tensor factor associated with provided orbital label.
39+ tensor_factor (int):
40+ tensor factor associated with provided orbital label.
4041 """
4142 # Initialize.
4243 if isinstance (grid_coordinates , int ):
@@ -68,12 +69,13 @@ def grid_indices(qubit_id, grid, spinless):
6869 """This function is the inverse of orbital_id.
6970
7071 Args:
71- qubit_id: The tensor factor to map to grid indices.
72+ qubit_id (int) : The tensor factor to map to grid indices.
7273 grid (Grid): The discretization to use.
7374 spinless (bool): Whether to use the spinless model or not.
7475
7576 Returns:
76- grid_indices: The location of the qubit on the grid.
77+ grid_indices (numpy.ndarray[int]):
78+ The location of the qubit on the grid.
7779 """
7880 # Remove spin degree of freedom.
7981 orbital_id = qubit_id
@@ -95,8 +97,9 @@ def position_vector(position_indices, grid):
9597 """Given grid point coordinate, return position vector with dimensions.
9698
9799 Args:
98- position_indices: List or tuple of integers giving grid point
99- coordinate. Allowed values are ints in [0, grid_length).
100+ position_indices (int|iterable[int]):
101+ List or tuple of integers giving grid point coordinate.
102+ Allowed values are ints in [0, grid_length).
100103 grid (Grid): The discretization to use.
101104
102105 Returns:
@@ -111,8 +114,7 @@ def position_vector(position_indices, grid):
111114
112115 # Compute position vector.
113116 adjusted_vector = numpy .array (position_indices , float ) - grid .length // 2
114- position_vector = grid .scale * adjusted_vector / float (grid .length )
115- return position_vector
117+ return grid .scale * adjusted_vector / float (grid .length )
116118
117119
118120def momentum_vector (momentum_indices , grid ):
@@ -136,8 +138,7 @@ def momentum_vector(momentum_indices, grid):
136138
137139 # Compute momentum vector.
138140 adjusted_vector = numpy .array (momentum_indices , float ) - grid .length // 2
139- momentum_vector = 2. * numpy .pi * adjusted_vector / grid .scale
140- return momentum_vector
141+ return 2. * numpy .pi * adjusted_vector / grid .scale
141142
142143
143144def momentum_kinetic_operator (grid , spinless = False ):
@@ -178,19 +179,16 @@ def momentum_potential_operator(grid, spinless=False):
178179
179180 Args:
180181 grid (Grid): The discretization to use.
181- spinless: Boole, whether to use the spinless model or not.
182+ spinless (bool): Whether to use the spinless model or not.
182183
183184 Returns:
184- operator: An instance of the FermionOperator class.
185+ operator ( FermionOperator)
185186 """
186187 # Initialize.
187188 volume = grid .volume_scale ()
188189 prefactor = 2. * numpy .pi / volume
189190 operator = FermionOperator ((), 0.0 )
190- if spinless :
191- spins = [None ]
192- else :
193- spins = [0 , 1 ]
191+ spins = [None ] if spinless else [0 , 1 ]
194192
195193 # Loop once through all plane waves.
196194 for omega_indices in grid .all_points_indices ():
@@ -205,8 +203,7 @@ def momentum_potential_operator(grid, spinless=False):
205203 continue
206204
207205 # Compute coefficient.
208- coefficient = prefactor / \
209- omega_momenta .dot (omega_momenta )
206+ coefficient = prefactor / omega_momenta .dot (omega_momenta )
210207
211208 for grid_indices_a in grid .all_points_indices ():
212209 shifted_indices_d = [
@@ -242,18 +239,15 @@ def position_kinetic_operator(grid, spinless=False):
242239
243240 Args:
244241 grid (Grid): The discretization to use.
245- spinless: Bool, whether to use the spinless model or not.
242+ spinless (bool): Whether to use the spinless model or not.
246243
247244 Returns:
248- operator: An instance of the FermionOperator class.
245+ operator ( FermionOperator)
249246 """
250247 # Initialize.
251248 n_points = grid .num_points ()
252249 operator = FermionOperator ()
253- if spinless :
254- spins = [None ]
255- else :
256- spins = [0 , 1 ]
250+ spins = [None ] if spinless else [0 , 1 ]
257251
258252 # Loop once through all lattice sites.
259253 for grid_indices_a in grid .all_points_indices ():
@@ -289,19 +283,16 @@ def position_potential_operator(grid, spinless=False):
289283
290284 Args:
291285 grid (Grid): The discretization to use.
292- spinless: Boole, whether to use the spinless model or not.
286+ spinless (bool): Whether to use the spinless model or not.
293287
294288 Returns:
295- operator: An instance of the FermionOperator class.
289+ operator ( FermionOperator)
296290 """
297291 # Initialize.
298292 volume = grid .volume_scale ()
299293 prefactor = 2. * numpy .pi / volume
300294 operator = FermionOperator ()
301- if spinless :
302- spins = [None ]
303- else :
304- spins = [0 , 1 ]
295+ spins = [None ] if spinless else [0 , 1 ]
305296
306297 # Loop once through all lattice sites.
307298 for grid_indices_a in grid .all_points_indices ():
@@ -364,10 +355,10 @@ def jordan_wigner_position_jellium(grid, spinless=False):
364355
365356 Args:
366357 grid (Grid): The discretization to use.
367- spinless: Bool, whether to use the spinless model or not.
358+ spinless (bool): Whether to use the spinless model or not.
368359
369360 Returns:
370- hamiltonian: An instance of the QubitOperator class.
361+ hamiltonian ( QubitOperator)
371362 """
372363 # Initialize.
373364 n_orbitals = grid .num_points ()
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