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engine.py
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engine.py
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from qiskit import ClassicalRegister, QuantumRegister, QuantumCircuit, execute, Aer
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.patches import Circle, Rectangle
import copy
from ipywidgets import widgets
from IPython.display import display, clear_output
try:
import sys
sys.path.append("../") # go to parent dir
import Qconfig
qx_config = {
"APItoken": Qconfig.APItoken,
"url": Qconfig.config['url']}
#set api
register(qx_config['APItoken'], qx_config['url'])
except Exception as e:
pass
class run_game():
def __init__(self,initialize, success_condition, allowed_gates, vi, qubit_names, eps=0.1, backend='qasm_simulator_py',shots=1024,mode='circle',verbose=False):
def get_total_gate_list():
# get a text block describing allowed gates
total_gate_list = ""
for qubit in allowed_gates:
gate_list = ""
for gate in allowed_gates[qubit]:
if required_gates[qubit][gate] > 0 :
gate_list += ' ' + gate+" (use "+str(required_gates[qubit][gate])+" time"+"s"*(required_gates[qubit][gate]>1)+")"
elif allowed_gates[qubit][gate]==0:
gate_list += ' '+gate + ','
if gate_list!="":
if qubit=="both" :
gate_list = "\nAllowed symmetric operations:" + gate_list
else :
gate_list = "\nAllowed operations for " + qubit_names[qubit] + ":\n" + " "*10 + gate_list
total_gate_list += gate_list +"\n"
return total_gate_list
def get_success(required_gates):
success = True
grid.get_rho()
if verbose:
print(grid.rho)
for pauli in success_condition:
success = success and (abs(success_condition[pauli] - grid.rho[pauli])<eps)
for qubit in required_gates:
for gate in required_gates[qubit]:
success = success and (required_gates[qubit][gate]==0)
return success
def get_command(gate,qubit):
if qubit=='both':
qubit = '1'
qubit_name = qubit_names[qubit]
for name in qubit_names.values():
if name!=qubit_name:
other_name = name
# then make the command (both for the grid, and for printing to screen)
if gate in ['x','y','z','h']:
real_command = 'grid.qc.'+gate+'(grid.qr['+qubit+'])'
clean_command = 'qc.'+gate+'('+qubit_name+')'
elif gate in ['ry(pi/4)','ry(-pi/4)']:
real_command = 'grid.qc.ry('+'-'*(gate=='ry(-pi/4)')+'np.pi/4,grid.qr['+qubit+'])'
clean_command = 'qc.ry('+'-'*(gate=='ry(-pi/4)')+'np.pi/4,'+qubit_name+')'
elif gate in ['cz','cx','swap']:
real_command = 'grid.qc.'+gate+'(grid.qr['+'0'*(qubit=='1')+'1'*(qubit=='0')+'],grid.qr['+qubit+'])'
clean_command = 'qc.'+gate+'('+other_name+','+qubit_name+')'
return [real_command,clean_command]
clear_output()
bloch = [None]
# set up initial state and figure
grid = pauli_grid(backend=backend,shots=shots,mode=mode)
for gate in initialize:
eval( get_command(gate[0],gate[1])[0] )
required_gates = copy.deepcopy(allowed_gates)
# determine which qubits to show in figure
if allowed_gates['0']=={} : # if no gates are allowed for qubit 0, we know to only show qubit 1
shown_qubit = 1
elif allowed_gates['1']=={} : # and vice versa
shown_qubit = 0
else :
shown_qubit = 2
# show figure
grid.update_grid(bloch=bloch[0],hidden=vi[0],qubit=vi[1],corr=vi[2],message=get_total_gate_list())
description = {'gate':['Choose gate'],'qubit':['Choose '+'qu'*vi[1]+'bit'],'action':['Make it happen!']}
all_allowed_gates_raw = []
for q in ['0','1','both']:
all_allowed_gates_raw += list(allowed_gates[q])
all_allowed_gates_raw = list(set(all_allowed_gates_raw))
all_allowed_gates = []
for g in ['bloch','unbloch']:
if g in all_allowed_gates_raw:
all_allowed_gates.append( g )
for g in ['x','y','z','h','cz','cx']:
if g in all_allowed_gates_raw:
all_allowed_gates.append( g )
for g in all_allowed_gates_raw:
if g not in all_allowed_gates:
all_allowed_gates.append( g )
gate = widgets.ToggleButtons(options=description['gate']+all_allowed_gates)
qubit = widgets.ToggleButtons(options=[''])
action = widgets.ToggleButtons(options=[''])
boxes = widgets.VBox([gate,qubit,action])
display(boxes)
if vi[1]:
print('\nYour quantum program so far\n')
self.program = []
def given_gate(a):
if gate.value:
if gate.value in allowed_gates['both']:
qubit.options = description['qubit'] + ["not required"]
qubit.value = "not required"
else:
allowed_qubits = []
for q in ['0','1']:
if (gate.value in allowed_gates[q]) or (gate.value in allowed_gates['both']):
allowed_qubits.append(q)
allowed_qubit_names = []
for q in allowed_qubits:
allowed_qubit_names += [qubit_names[q]]
qubit.options = description['qubit'] + allowed_qubit_names
def given_qubit(b):
if qubit.value not in ['',description['qubit'][0],'Success!']:
action.options = description['action']+['Apply operation']
def given_action(c):
if action.value not in ['',description['action'][0]]:
# apply operation
if action.value=='Apply operation':
if qubit.value not in ['',description['qubit'][0],'Success!']:
# translate bit gates to qubit gates
if gate.value=='NOT':
q_gate = 'x'
elif gate.value=='CNOT':
q_gate = 'cx'
else:
q_gate = gate.value
if qubit.value=="not required":
q = qubit_names['1']
else:
q = qubit.value
q01 = '0'*(qubit.value==qubit_names['0']) + '1'*(qubit.value==qubit_names['1']) + 'both'*(qubit.value=="not required")
if q_gate in ['bloch','unbloch']:
if q_gate=='bloch':
bloch[0] = int(q01)
else:
bloch[0] = None
else:
command = get_command(q_gate,q01)
eval(command[0])
if vi[1]:
print(command[1])
self.program.append( command[1] )
if required_gates[q01][gate.value]>0:
required_gates[q01][gate.value] -= 1
grid.update_grid(bloch=bloch[0],hidden=vi[0],qubit=vi[1],corr=vi[2],message=get_total_gate_list())
success = get_success(required_gates)
if success:
gate.options = ['Success!']
qubit.options = ['Success!']
action.options = ['Success!']
else:
gate.value = description['gate'][0]
qubit.options = ['']
action.options = ['']
gate.observe(given_gate)
qubit.observe(given_qubit)
action.observe(given_action)
#####################################################################################
class pauli_grid():
def __init__(self,backend='qasm_simulator_py',shots=1024,mode='circle'):
self.backend = backend
self.shots = shots
self.box = {'ZI':(-1, 2),'XI':(-2, 3),'IZ':( 1, 2),'IX':( 2, 3),'ZZ':( 0, 3),'ZX':( 1, 4),'XZ':(-1, 4),'XX':( 0, 5)}
self.rho = {}
for pauli in self.box:
self.rho[pauli] = 0.0
for pauli in ['ZI','IZ','ZZ']:
self.rho[pauli] = 1.0
self.qr = QuantumRegister(2)
self.cr = ClassicalRegister(2)
self.qc = QuantumCircuit(self.qr, self.cr)
self.mode = mode
# colors are background, qubit circles and correlation circles, respectively
if self.mode=='line':
self.colors = [(1.6/255,72/255,138/255),(132/255,177/255,236/255),(33/255,114/255,216/255)]
else:
self.colors = [(1.6/255,72/255,138/255),(132/255,177/255,236/255),(33/255,114/255,216/255)]
self.fig = plt.figure(figsize=(8,8),facecolor=self.colors[0])
self.ax = self.fig.add_subplot(111)
plt.axis('off')
self.bottom = self.ax.text(-3,1,"",size=14,va='top',color='w')
self.lines = {}
for pauli in self.box:
w = plt.plot( [self.box[pauli][0],self.box[pauli][0]], [self.box[pauli][1],self.box[pauli][1]], color=(1.0,1.0,1.0), lw=0 )
b = plt.plot( [self.box[pauli][0],self.box[pauli][0]], [self.box[pauli][1],self.box[pauli][1]], color=(0.0,0.0,0.0), lw=0 )
c = {}
c['w'] = self.ax.add_patch( Circle(self.box[pauli], 0.0, color=(0,0,0), zorder=10) )
c['b'] = self.ax.add_patch( Circle(self.box[pauli], 0.0, color=(1,1,1), zorder=10) )
self.lines[pauli] = {'w':w,'b':b,'c':c}
def get_rho(self):
bases = ['ZZ','ZX','XZ','XX']
results = {}
for basis in bases:
temp_qc = copy.deepcopy(self.qc)
for j in range(2):
if basis[j]=='X':
temp_qc.h(self.qr[j])
temp_qc.barrier(self.qr)
temp_qc.measure(self.qr,self.cr)
job = execute(temp_qc, backend=Aer.get_backend(self.backend), shots=self.shots)
results[basis] = job.result().get_counts()
for string in results[basis]:
results[basis][string] = results[basis][string]/self.shots
prob = {}
# prob of expectation value -1 for single qubit observables
for j in range(2):
for p in ['X','Z']:
pauli = {}
for pp in 'IXZ':
pauli[pp] = (j==1)*pp + p + (j==0)*pp
prob[pauli['I']] = 0
for basis in [pauli['X'],pauli['Z']]:
for string in results[basis]:
if string[(j+1)%2]=='1':
prob[pauli['I']] += results[basis][string]/2
# prob of expectation value -1 for two qubit observables
for basis in ['ZZ','ZX','XZ','XX']:
prob[basis] = 0
for string in results[basis]:
if string[0]!=string[1]:
prob[basis] += results[basis][string]
for pauli in prob:
self.rho[pauli] = 1-2*prob[pauli]
def update_grid(self,rho=None,labels=False,bloch=None,hidden=[],qubit=True,corr=True,message=""):
def see_if_unhidden(pauli):
unhidden = True
# first: does it act non-trivially on a qubit in `hidden`
for j in hidden:
unhidden = unhidden and (pauli[j]=='I')
# second: does it contain something other than 'I' or 'Z' when only bits are shown
if qubit==False:
for j in range(2):
unhidden = unhidden and (pauli[j] in ['I','Z'])
# third: is it a correlation pauli when these are not allowed
if corr==False:
unhidden = unhidden and ((pauli[0]=='I') or (pauli[1]=='I'))
return unhidden
def add_line(line,pauli_pos,pauli):
# line = the type of line to be drawn (X, Z or the other one)
# pauli = the box where the line is to be drawn
# expect = the expectation value that determines its length
unhidden = see_if_unhidden(pauli)
coord = None
p = (1-self.rho[pauli])/2 # prob of 1 output
# in the following, white lines goes from a to b, and black from b to c
if unhidden:
if line=='Z':
a = ( self.box[pauli_pos][0], self.box[pauli_pos][1]+l/2 )
c = ( self.box[pauli_pos][0], self.box[pauli_pos][1]-l/2 )
b = ( (1-p)*a[0] + p*c[0] , (1-p)*a[1] + p*c[1] )
lw = 12
coord = (b[1] - (a[1]+c[1])/2)*1.2 + (a[1]+c[1])/2
elif line=='X':
a = ( self.box[pauli_pos][0]+l/2, self.box[pauli_pos][1] )
c = ( self.box[pauli_pos][0]-l/2, self.box[pauli_pos][1] )
b = ( (1-p)*a[0] + p*c[0] , (1-p)*a[1] + p*c[1] )
lw = 14
coord = (b[0] - (a[0]+c[0])/2)*1.1 + (a[0]+c[0])/2
else:
a = ( self.box[pauli_pos][0]+l/(2*np.sqrt(2)), self.box[pauli_pos][1]+l/(2*np.sqrt(2)) )
c = ( self.box[pauli_pos][0]-l/(2*np.sqrt(2)), self.box[pauli_pos][1]-l/(2*np.sqrt(2)) )
b = ( (1-p)*a[0] + p*c[0] , (1-p)*a[1] + p*c[1] )
lw = 14
self.lines[pauli]['w'].pop(0).remove()
self.lines[pauli]['b'].pop(0).remove()
self.lines[pauli]['w'] = plt.plot( [a[0],b[0]], [a[1],b[1]], color=(1.0,1.0,1.0), lw=lw )
self.lines[pauli]['b'] = plt.plot( [b[0],c[0]], [b[1],c[1]], color=(0.0,0.0,0.0), lw=lw )
return coord
l = 0.95 # line length
r = 0.6 # circle radius
L = 0.98*np.sqrt(2) # box height and width
if rho==None:
self.get_rho()
# draw boxes
for pauli in self.box:
if 'I' in pauli:
color = self.colors[1]
else:
color = self.colors[2]
self.ax.add_patch( Rectangle( (self.box[pauli][0],self.box[pauli][1]-1), L, L, angle=45, color=color) )
# draw circles
for pauli in self.box:
unhidden = see_if_unhidden(pauli)
if unhidden:
if self.mode=='line':
self.ax.add_patch( Circle(self.box[pauli], r, color=(0.5,0.5,0.5)) )
else:
prob = (1-self.rho[pauli])/2
self.ax.add_patch( Circle(self.box[pauli], r, color=(prob,prob,prob)) )
# update bars if required
if self.mode=='line':
if bloch in [0,1]:
for other in 'IXZ':
px = other*(bloch==1) + 'X' + other*(bloch==0)
pz = other*(bloch==1) + 'Z' + other*(bloch==0)
z_coord = add_line('Z',pz,pz)
x_coord = add_line('X',pz,px)
for j in self.lines[pz]['c']:
self.lines[pz]['c'][j].center = (x_coord,z_coord)
self.lines[pz]['c'][j].radius = (j=='w')*0.05 + (j=='b')*0.04
px = 'I'*(bloch==0) + 'X' + 'I'*(bloch==1)
pz = 'I'*(bloch==0) + 'Z' + 'I'*(bloch==1)
add_line('Z',pz,pz)
add_line('X',px,px)
else:
for pauli in self.box:
for j in self.lines[pauli]['c']:
self.lines[pauli]['c'][j].radius = 0.0
if pauli in ['ZI','IZ','ZZ']:
add_line('Z',pauli,pauli)
if pauli in ['XI','IX','XX']:
add_line('X',pauli,pauli)
if pauli in ['XZ','ZX']:
add_line('ZX',pauli,pauli)
self.bottom.set_text(message)
if labels:
for pauli in box:
plt.text(self.box[pauli][0]-0.05,self.box[pauli][1]-0.85, pauli)
self.ax.set_xlim([-3,3])
self.ax.set_ylim([0,6])
self.fig.canvas.draw()