def grad(self, var):
if var not in self.free_symbols:
return Sum([], self.dom, self.cod)
name = "{}.grad({})".format(self.name, var)
n_bits_in, n_bits_out = len(self.dom), len(self.cod)
array = self.eval().grad(var).array
return ClassicalGate(name, n_bits_in, n_bits_out, array)
def grad(self, var):
if len(self.dom) != 1:
raise NotImplementedError
if var not in self.free_symbols:
return Sum([], self.dom, self.cod)
gradient = self.phase.diff(var)
gradient = complex(gradient) if not gradient.free_symbols else gradient
return scalar(.5j * gradient) @ type(self)(self.phase - .5)
def grad(self, var, **params):
if var not in self.free_symbols:
return Sum([], self.dom, self.cod)
if params.get('mixed', True):
return super().grad(var, **params)
gradient = self.phase.diff(var)
gradient = complex(gradient) if not gradient.free_symbols else gradient
_i_2_pi = 1j * 2 * self.modules.pi
s = scalar(_i_2_pi * gradient * self.modules.exp(_i_2_pi * self.phase))
return _outer_prod_diag(1, 1) @ s
def grad(self, var, **params):
if var not in self.free_symbols:
return Sum([], self.dom, self.cod)
if params.get('mixed', True):
return super().grad(var, **params)
gradient = self.phase.diff(var)
gradient = complex(gradient) if not gradient.free_symbols else gradient
_i_half_pi = .5j * self.modules.pi
op1 = Z @ X @ scalar(_i_half_pi * gradient)
op2 = Id(qubit) @ X @ scalar(-_i_half_pi * gradient)
return self >> (op1 + op2)
def grad(self, var, **params):
if var not in self.free_symbols:
return Sum([], self.dom, self.cod)
gradient = self.phase.diff(var)
gradient = complex(gradient) if not gradient.free_symbols else gradient
if params.get('mixed', True):
if len(self.dom) != 1:
raise NotImplementedError
s = scalar(Tensor.np.pi * gradient, is_mixed=True)
t1 = type(self)(self.phase + .25)
t2 = type(self)(self.phase - .25)
return s @ (t1 + scalar(-1, is_mixed=True) @ t2)
return scalar(Tensor.np.pi * gradient) @ type(self)(self.phase + .5)
def grad(self, var, **params):
if var not in self.free_symbols:
return Sum([], self.dom, self.cod)
return Scalar(self.array[0].diff(var))
def grad(self, var, **params):
if var not in self.free_symbols:
return Sum([], self.dom, self.cod)
name = "{}.grad({})".format(self.name, var)
data = self.eval().grad(var, **params).array
return ClassicalGate(name, self.dom, self.cod, data)