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Entangler.py
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Entangler.py
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from itertools import cycle
from math import pi
import abc
## I never use apply with params=None, do I really need it? The inits
## can go to the garbage as well. I could also stop making classes and
## just pass a function to the TensorNetwork constructor
class Entangler(metaclass=abc.ABCMeta):
"""Two-qubit gate used as an element of a TN state
"""
def __init__(self, params=None):
self.n_params = 2
if params is None:
self.params = [0] * self.n_params
else:
self.set_params(params)
def set_params(self, params):
"""Set the parameters of the gate"""
if len(params) == self.n_params:
self.params = params
else:
raise ValueError('Incorrect amount of parameters!')
@abc.abstractmethod
def apply(self, q, circ, i, j, params=None):
"""
Apply with internal parameters if None
otherwise use those supplied"""
class OptimalEntangler(Entangler):
"""Entangler capable of implementing anything from SU(4), which uses
minimum amount of parameters and minimum amount of CNOTs. See
https://arxiv.org/abs/quant-ph/0308006v3 for details
"""
def __init__(self, params=None):
self.n_params = 15
if params is None:
self.params = [0] * self.n_params
else:
self.set_params(params)
def apply(self, q, circ, i, j, params):
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.u3(next(pc), next(pc), next(pc), q[i])
circ.u3(next(pc), next(pc), next(pc), q[j])
circ.cx(q[j], q[i])
circ.rz(next(pc), q[i])
circ.ry(next(pc), q[j])
circ.cx(q[i], q[j])
circ.ry(next(pc), q[j])
circ.cx(q[j], q[i])
circ.u3(next(pc), next(pc), next(pc), q[i])
circ.u3(next(pc), next(pc), next(pc), q[j])
class IsingEntangler(Entangler):
"""Entangler that uses the operators found in
the Ising model
<| (exp(X) \otimes exp(X)) exp(ZZ) (exp(Z) \otimes exp(Z))
"""
def __init__(self, params=None):
self.n_params = 5
if params is None:
self.params = [0] * self.n_params
else:
self.set_params(params)
def apply(self, q, circ, i, j, params=None):
"""
q - QuantumRegister
circ - QuantumCircuit
i, j - qubits to act on
"""
if params is None:
pc = cycle(self.params)
else:
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.rx(next(pc), q[i])
circ.rx(next(pc), q[j])
circ.cx(q[i], q[j])
circ.u1(next(pc), q[j])
circ.cx(q[i], q[j])
circ.rz(next(pc), q[i])
circ.rz(next(pc), q[j])
class ConservingEntangler(Entangler):
"""Two Z rotations followed by an entangling two-qubit gate U2 from
arxiv:1805.04340. When acting on states mapped from fermion Fock
states, conserves particle number"""
def __init__(self, params=None):
self.n_params = 3
if params is None:
self.params = [0] * self.n_params
else:
self.set_params(params)
def apply(self, q, circ, i, j, params=None):
if params is None:
pc = cycle(self.params)
else:
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.rz(next(pc), q[i])
circ.rz(next(pc), q[j])
circ.cx(q[j], q[i])
circ.h(q[j])
circ.crz(next(pc), q[i], q[j])
circ.h(q[j])
circ.cx(q[j], q[i])
class ConservingEntanglerOne(Entangler):
"""Two-qubit gate U_1 from arxiv:1805.04340.
It conserves particle number, that is, a bitstring with a certain
number of '1'-s can only be mapped to bitstrings with
the same number of these. Circuit implementation is mine."""
def __init__(self, params=None):
self.n_params = 2
if params is None:
self.params = [0] * self.n_params
else:
self.set_params(params)
def apply(self, q, circ, i, j, params=None):
if params is None:
theta = self.params[0]
phi = self.params[1]
else:
if len(params) != 2:
raise ValueError('Incorrect number of parameters!')
theta = params[0]
phi = params[1]
circ.cx(q[j], q[i])
circ.cx(q[i], q[j])
circ.cz(q[i], q[j])
circ.crz(-phi, q[i], q[j])
### Newest version of Qiskit has c-Ry gate, but this one doesn't
circ.sdg(q[j])
circ.h(q[j])
circ.crz(theta, q[i], q[j])
circ.h(q[j])
circ.s(q[j])
circ.crz(phi, q[i], q[j])
circ.cx(q[i], q[j])
circ.cx(q[j], q[i])
class AntiIsingEntangler(Entangler):
"""Entangler that uses some gates NOT found in the Ising model. This
may or may not help converge faster
"""
def __init__(self, params=None):
self.n_params = 5
if params is None:
self.params = [0] * self.n_params
else:
super().set_params(params)
def apply(self, q, circ, i, j, params=None):
if params is None:
pc = cycle(self.params)
else:
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.ry(next(pc), q[i])
circ.ry(next(pc), q[j])
### exp(-i a XX)
circ.h(q[i])
circ.h(q[j])
circ.cx(q[i], q[j])
circ.u1(next(pc), q[j])
circ.cx(q[i], q[j])
circ.h(q[i])
circ.h(q[j])
circ.rz(next(pc), q[i])
circ.rz(next(pc), q[j])
class XYEntangler(Entangler):
"""Entangler that uses the operators from XY model
(technically ZY model)"""
def __init__(self, params=None):
self.n_params = 6
if params is None:
self.params = [0] * self.n_params
else:
super().set_params(params)
def apply(self, q, circ, i, j, params=None):
if params is None:
pc = cycle(self.params)
else:
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.rx(next(pc), q[i])
circ.rx(next(pc), q[j])
circ.cx(q[i], q[j])
circ.u1(next(pc), q[j])
circ.cx(q[i], q[j])
circ.u1(pi/2, q[i])
circ.u1(pi/2, q[j])
circ.h(q[i])
circ.h(q[j])
circ.cx(q[i], q[j])
circ.u1(next(pc), q[j])
circ.cx(q[i], q[j])
circ.h(q[i])
circ.h(q[j])
circ.u1(-pi/2, q[i])
circ.u1(-pi/2, q[j])
circ.rz(next(pc), q[i])
circ.rz(next(pc), q[j])
class R2MPOEntangler(Entangler):
"""Rank-2 matrix product operator.
"""
def __init__(self, params=None):
self.n_params = 7
if params is None:
self.params = [0] * self.n_params
else:
self.set_params(params)
def apply(self, q, circ, i, j, params=None):
if params is None:
pc = cycle(self.params)
else:
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.ry(next(pc), q[i])
circ.cx(q[i], q[j])
circ.u3(next(pc), next(pc), next(pc), q[i])
circ.u3(next(pc), next(pc), next(pc), q[j])
class CartanEntangler(Entangler):
"""Two-qubit gate capable of implementing any SU(4) gate"""
n_params = 15
def apply(self, q, circ, i, j, params):
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.u3(next(pc), next(pc), next(pc), q[i])
circ.u3(next(pc), next(pc), next(pc), q[j])
### exp(-i a XX)
circ.h(q[i])
circ.h(q[j])
circ.cx(q[i], q[j])
circ.u1(next(pc), q[j])
circ.cx(q[i], q[j])
circ.h(q[i])
circ.h(q[j])
### exp(-i a ZZ)
circ.cx(q[i], q[j])
circ.u1(next(pc), q[j])
circ.cx(q[i], q[j])
### exp(-i a YY)
circ.s(q[i])
circ.s(q[j])
circ.h(q[i])
circ.h(q[j])
circ.cx(q[i], q[j])
circ.u1(next(pc), q[j])
circ.cx(q[i], q[j])
circ.h(q[i])
circ.h(q[j])
circ.sdg(q[i])
circ.sdg(q[j])
circ.u3(next(pc), next(pc), next(pc), q[i])
circ.u3(next(pc), next(pc), next(pc), q[j])
class CNOTEntangler(Entangler):
"""Like CartanEntangler, but in the middle it just has a CNOT"""
n_params = 12
def apply(self, q, circ, i, j, params):
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.u3(next(pc), next(pc), next(pc), q[i])
circ.u3(next(pc), next(pc), next(pc), q[j])
circ.cx(q[i], q[j])
circ.u3(next(pc), next(pc), next(pc), q[i])
circ.u3(next(pc), next(pc), next(pc), q[j])
class SixParamEntangler(Entangler):
"""some wacky idea of mine"""
def __init__(self, params=None):
self.n_params = 6
if params is None:
self.params = [0] * self.n_params
else:
super().set_params(params)
def apply(self, q, circ, i, j, params=None):
if params is None:
pc = cycle(self.params)
else:
if len(params) == self.n_params:
pc = cycle(params)
else:
raise ValueError('Incorrect number of parameters!')
circ.ry(next(pc), q[i])
circ.ry(next(pc), q[i])
circ.rz(next(pc), q[i])
circ.rz(next(pc), q[i])
circ.cz(q[i], q[j])
circ.rx(next(pc), q[i])
circ.rx(next(pc), q[i])
class DumbEntangler(Entangler):
"""Only applies Controlled-Z for visualization"""
def __init__(self):
"""Should actually have zero parameters
but for now will do
"""
self.n_params = 1
self.params = [0]
def set_params(self, params):
pass
def apply(self, q, circ, i, j, params=None):
circ.cz(q[i], q[j])