def __eq__(self, other):
"""
EQUALITY operator.
"""
if isinstance(other,Qobj) and self.dims == other.dims and \
self.shape == other.shape and abs(_sp_max_norm(self-other))<1e-14:
return True
else:
return False
def __eq__(self, other):
"""
EQUALITY operator.
"""
if isinstance(other,Qobj) and self.dims == other.dims and \
self.shape == other.shape and abs(_sp_max_norm(self-other))<1e-14:
return True
else:
return False
def norm(self, oper_norm='tr', sparse=False, tol=0, maxiter=100000):
"""Returns the norm of a quantum object.
Norm is L2-norm for kets and trace-norm (by default) for operators.
Other operator norms may be specified using the `oper_norm` argument.
Parameters
----------
oper_norm : str
Which norm to use for operators: trace 'tr', Frobius 'fro',
one 'one', or max 'max'. This parameter does not affect the norm
of a state vector.
sparse : bool
Use sparse eigenvalue solver for trace norm. Other norms are not
affected by this parameter.
tol : float
Tolerance for sparse solver (if used) for trace norm. The sparse
solver may not converge if the tolerance is set too low.
maxiter : int
Maximum number of iterations performed by sparse solver (if used)
for trace norm.
Returns
-------
norm : float
The requested norm of the operator or state quantum object.
Notes
-----
The sparse eigensolver is much slower than the dense version.
Use sparse only if memory requirements demand it.
"""
if self.type == 'oper' or self.type == 'super':
if oper_norm == 'tr':
vals = sp_eigs(self,
vecs=False,
sparse=sparse,
tol=tol,
maxiter=maxiter)
return sum(sqrt(abs(vals)**2))
elif oper_norm == 'fro':
return _sp_fro_norm(self)
elif oper_norm == 'one':
return _sp_one_norm(self)
elif oper_norm == 'max':
return _sp_max_norm(self)
else:
raise ValueError(
"Operator norm must be 'tr', 'fro', 'one', or 'max'.")
else:
return _sp_L2_norm(self)
def norm(self,oper_norm='tr',sparse=False,tol=0,maxiter=100000):
"""Returns the norm of a quantum object.
Norm is L2-norm for kets and trace-norm (by default) for operators.
Other operator norms may be specified using the `oper_norm` argument.
Parameters
----------
oper_norm : str
Which norm to use for operators: trace 'tr', Frobius 'fro',one 'one',
or max 'max'. This parameter does not affect the norm of a state vector.
sparse : bool
Use sparse eigenvalue solver for trace norm. Other norms are not
affected by this parameter.
tol : float
Tolerance for sparse solver (if used) for trace norm. The sparse solver
may not converge if the tolerance is set too low.
maxiter : int
Maximum number of iterations performed by sparse solver (if used) for
trace norm.
Returns
-------
norm : float
The requested norm of the operator or state quantum object.
Notes
-----
The sparse eigensolver is much slower than the dense version.
Use sparse only if memory requirements demand it.
"""
if self.type=='oper' or self.type=='super':
if oper_norm=='tr':
vals=sp_eigs(self,vecs=False,sparse=sparse,tol=tol,maxiter=maxiter)
return sum(sqrt(abs(vals)**2))
elif oper_norm=='fro':
return _sp_fro_norm(self)
elif oper_norm=='one':
return _sp_one_norm(self)
elif oper_norm=='max':
return _sp_max_norm(self)
else:
raise ValueError("Operator norm must be 'tr', 'fro', 'one', or 'max'.")
else:
return _sp_L2_norm(self)
