def test_copy(self):
g = Graph()
v1, v2 = g.add_vertices(2)
g.add_edge((v1, v2), 2)
g2 = g.copy()
self.assertEqual(g.num_vertices(), g2.num_vertices())
self.assertEqual(g.num_edges(), g2.num_edges())
v1, v2 = list(g2.vertices())
self.assertEqual(g.edge_type(g.edge(v1, v2)), 2)
def test_scalar(self):
g = Graph()
x = g.add_vertex(VertexType.Z, row = 0, phase = 1 / 2)
y = g.add_vertex(VertexType.Z, row = 1, phase = 1 / 4)
g.add_edge(g.edge(x, y), edgetype = EdgeType.SIMPLE)
full_reduce(g)
val = to_quimb_tensor(g).contract(output_inds = ())
expected_val = 1 + np.exp(1j * np.pi * 3 / 4)
self.assertTrue(abs(val - expected_val) < 1e-9)
def test_id_graph(self):
g = Graph()
i = g.add_vertex(0, 0, 0)
o = g.add_vertex(0, 0, 1)
g.inputs.append(i)
g.outputs.append(o)
g.add_edge((i, o))
t = tensorfy(g)
id_array = np.array([[1, 0], [0, 1]])
self.assertTrue(np.allclose(t, id_array))
self.assertTrue(compare_tensors(t, id_array))
def test_remove_isolated_pair_preserves_semantics(self):
for i, j, k in itertools.product([1, 2], repeat=3):
for phase1, phase2 in itertools.product([0, 1, 2], [0, 4, 5]):
with self.subTest(i=i, j=j, k=k, phase1=phase1, phase2=phase2):
g = Graph()
v = g.add_vertex(i, 0, 0, phase=phase1)
w = g.add_vertex(j, 1, 0, phase=phase2)
g.add_edge((v, w), k)
g2 = g.copy()
g2.remove_isolated_vertices()
self.assertEqual(g2.num_vertices(), 0)
self.assertTrue(compare_tensors(g, g2))
def test_equality_of_id_zx_graph_to_id(self):
g = Graph()
i = g.add_vertex(0, 0, 0)
o = g.add_vertex(0, 0, 2)
g.inputs.append(i)
g.outputs.append(o)
g2 = g.copy()
g.add_edge((i, o))
v = g2.add_vertex(1, 0, 1)
g2.add_edges([(i, v), (v, o)])
tensor1 = tensorfy(g)
tensor2 = tensorfy(g2)
self.assertTrue(compare_tensors(tensor1, tensor2))
def test_hadamard_tensor(self):
g = Graph()
x = g.add_vertex(VertexType.BOUNDARY)
y = g.add_vertex(VertexType.BOUNDARY)
g.add_edge(g.edge(x, y), edgetype = EdgeType.HADAMARD)
tn = to_quimb_tensor(g)
self.assertTrue(abs((tn & qtn.Tensor(data = [1, 0], inds = ("0",))
& qtn.Tensor(data = [1 / np.sqrt(2), 1 / np.sqrt(2)], inds = ("1",)))
.contract(output_inds = ()) - 1) < 1e-9)
self.assertTrue(abs((tn & qtn.Tensor(data = [0, 1], inds = ("0",))
& qtn.Tensor(data = [1 / np.sqrt(2), -1 / np.sqrt(2)], inds = ("1",)))
.contract(output_inds = ()) - 1) < 1e-9)
def test_id_tensor(self):
g = Graph()
x = g.add_vertex(VertexType.BOUNDARY)
y = g.add_vertex(VertexType.BOUNDARY)
g.add_edge(g.edge(x, y), edgetype = EdgeType.SIMPLE)
tn = to_quimb_tensor(g)
self.assertTrue((tn & qtn.Tensor(data = [0, 1], inds = ("0",))
& qtn.Tensor(data = [0, 1], inds = ("1",)))
.contract(output_inds = ()) == 1)
self.assertTrue((tn & qtn.Tensor(data = [1, 0], inds = ("0",))
& qtn.Tensor(data = [1, 0], inds = ("1",)))
.contract(output_inds = ()) == 1)
def test_supplementarity_simp(self):
g = Graph()
v = g.add_vertex(1,0,0,phase=Fraction(1,4))
w = g.add_vertex(1,1,0,phase=Fraction(7,4))
g.add_edge((v,w),2)
vs = []
for i in range(3):
h = g.add_vertex(1,i,2,Fraction(1))
vs.append(h)
g.add_edges([(v,h),(w,h)],2)
t = g.to_tensor()
i = supplementarity_simp(g,quiet=True)
self.assertEqual(i,1)
self.assertTrue(compare_tensors(t,g.to_tensor()))
def test_edges(self):
g = Graph()
v1, v2, v3 = g.add_vertices(3)
g.add_edge((v1, v2))
self.assertEqual(g.num_edges(), 1)
self.assertTrue(g.connected(v1, v2))
self.assertTrue(v2 in g.neighbours(v1))
self.assertEqual(g.vertex_degree(v1), 1)
self.assertFalse(g.connected(v1, v3))
e = g.edge(v1, v2)
self.assertEqual(g.edge_type(e), 1)
g.set_edge_type(e, 2)
self.assertEqual(g.edge_type(e), 2)
g.remove_edge(e)
self.assertEqual(g.num_edges(), 0)
self.assertFalse(g.connected(v1, v2))
def test_xor_tensor(self):
g = Graph()
x = g.add_vertex(VertexType.BOUNDARY)
y = g.add_vertex(VertexType.BOUNDARY)
v = g.add_vertex(VertexType.Z)
z = g.add_vertex(VertexType.BOUNDARY)
g.add_edge(g.edge(x, v), edgetype = EdgeType.HADAMARD)
g.add_edge(g.edge(y, v), edgetype = EdgeType.HADAMARD)
g.add_edge(g.edge(v, z), edgetype = EdgeType.HADAMARD)
tn = to_quimb_tensor(g)
for x in range(2):
for y in range(2):
for z in range(2):
self.assertTrue(abs((tn &
qtn.Tensor(data = [1 - x, x], inds = ("0",)) &
qtn.Tensor(data = [1 - y, y], inds = ("1",)) &
qtn.Tensor(data = [1 - z, z], inds = ("3",))).contract(output_inds = ()) -
((x ^ y) == z) / np.sqrt(2)) < 1e-9)
def test_phases_tensor(self):
# This diagram represents a 1-input 1-output Z-spider of phase pi/2,
# but written using two Z-spiders of phases pi/6 and pi/3 that are
# connected by a simple edge.
g = Graph()
x = g.add_vertex(VertexType.BOUNDARY)
v = g.add_vertex(VertexType.Z, phase = 1. / 6.)
w = g.add_vertex(VertexType.Z, phase = 1. / 3.)
y = g.add_vertex(VertexType.BOUNDARY)
g.add_edge(g.edge(x, v), edgetype = EdgeType.SIMPLE)
g.add_edge(g.edge(v, w), edgetype = EdgeType.SIMPLE)
g.add_edge(g.edge(w, y), edgetype = EdgeType.SIMPLE)
tn = to_quimb_tensor(g)
self.assertTrue(abs((tn & qtn.Tensor(data = [1, 0], inds = ("0",))
& qtn.Tensor(data = [1, 0], inds = ("3",)))
.contract(output_inds = ()) - 1) < 1e-9)
self.assertTrue(abs((tn & qtn.Tensor(data = [0, 1], inds = ("0",))
& qtn.Tensor(data = [0, 1j], inds = ("3",)))
.contract(output_inds = ()) + 1) < 1e-9)
