From c1b8e95437c657aae508274c743d6ce3705066fd Mon Sep 17 00:00:00 2001
From: Pete Shadbolt <pete.shadbolt@gmail.com>
Date: Fri, 26 Feb 2016 14:33:10 +0000
Subject: [PATCH] Trying to get permuters working good

---
 clifford.py | 23 +++++++++++++++++++++++
 new.py      | 39 +++++++++++++++++++++++++++++++++++++++
 2 files changed, 62 insertions(+)
 create mode 100644 new.py

diff --git a/clifford.py b/clifford.py
index 4790bb2..0630b9f 100644
--- a/clifford.py
+++ b/clifford.py
@@ -46,6 +46,10 @@ pz = matrix([[1, 0], [0, -1]], dtype=complex)
 h = matrix([[1, 1], [1, -1]], dtype=complex) / sqrt(2)
 p = matrix([[1, 0], [0, 1j]], dtype=complex)
 paulis = (px, py, pz)
+# Some two-qubit matrices
+i = matrix(eye(2, dtype=complex))
+h = matrix([[1, 1], [1, -1]], dtype=complex) / sqrt(2)
+p = matrix([[1, 0], [0, 1j]], dtype=complex)
 
 # Basic single-qubit gates
 s_gates = (("i", i), ("p", p), ("pp", p * p), ("ppp", p * p * p))
@@ -82,3 +86,22 @@ vop_by_name = {n: {"name":n, "index": i, "action": a, "gates": g, "unitary": u}
                for n, i, a, g, u in zip(vop_names, xrange(24), vop_actions, vop_gates, vop_unitaries)}
 vop_by_action = {a: {"name": n, "index": i, "action":a, "gates": g, "unitary": u}
                  for n, i, a, g, u in zip(vop_names, xrange(24), vop_actions, vop_gates, vop_unitaries)}
+
+names, unitaries = [], []
+for c_name, c_gate in c_gates:
+    for s_name, s_gate in s_gates:
+        names.append(s_name+c_name)
+        unitaries.append(s_gate * c_gate)
+        print s_gate * c_gate.round(2)
+        print 
+
+i = matrix(eye(2, dtype=complex))
+px = matrix([[0, 1], [1, 0]], dtype=complex)
+py = matrix([[0, -1j], [1j, 0]], dtype=complex)
+pz = matrix([[1, 0], [0, -1]], dtype=complex)
+h = matrix([[1, 1], [1, -1]], dtype=complex) / sqrt(2)
+p = matrix([[1, 0], [0, 1j]], dtype=complex)
+
+#for m in i, px, py, pz:
+    #print any([allclose(x, m) for x in unitaries])
+
diff --git a/new.py b/new.py
new file mode 100644
index 0000000..3c30e3b
--- /dev/null
+++ b/new.py
@@ -0,0 +1,39 @@
+from numpy import *
+
+# Some two-qubit matrices
+i = matrix(eye(2, dtype=complex))
+px = matrix([[0, 1], [1, 0]], dtype=complex)
+py = matrix([[0, -1j], [1j, 0]], dtype=complex)
+pz = matrix([[1, 0], [0, -1]], dtype=complex)
+h = matrix([[1, 1], [1, -1]], dtype=complex) / sqrt(2)
+p = matrix([[1, 0], [0, 1j]], dtype=complex)
+paulis = (px, py, pz)
+
+def identify_pauli(m):
+    """ Given a signed Pauli matrix, name it. """
+    for sign in (+1, -1):
+        for pauli_label, pauli in zip("xyz", paulis):
+            if allclose(sign * pauli, m):
+                return sign, pauli_label
+
+def get_action(u):
+    """ What does this unitary operator do to the Paulis? """
+    return [identify_pauli(u * p * u.H) for p in paulis]
+
+def format_action(action):
+    return "".join("{}{}".format("+" if s>=0 else "-", p) for s, p in action)
+
+#print get_action(i)
+#print get_action(px)
+#print get_action(py)
+#print get_action(pz)
+
+permuters = 
+
+print format_action(get_action(i))
+print format_action(get_action(h*p*h*pz))
+print format_action(get_action(p*h*p*h))
+print format_action(get_action(px*p))
+print format_action(get_action(p*h))
+print format_action(get_action(p*p*h*pz))
+