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#!/usr/bin/env pyscript
# $Id: flower_algorithm.py,v 1.5 2006/02/14 14:23:09 paultcochrane Exp $
"""
Quite a complex example of using the quantumcircuits library. This shows
the quantum circuit of the flower algorithm.
"""
# import the relevant pyscript libraries
from pyscript import *
import pyscript.lib.quantumcircuits as qc
# define the default units for the diagram
defaults.units=UNITS['cm']
# define some handy LaTeX macros
defaults.tex_head=r"""
\documentclass{article}
\pagestyle{empty}
\newcommand{\ket}[1]{\mbox{$|#1\rangle$}}
\newcommand{\bra}[1]{\mbox{$\langle #1|$}}
\newcommand{\braket}[2]{\mbox{$\langle #1|#2\rangle$}}
\newcommand{\op}[1]{\mbox{\boldmath $\hat{#1}$}}
\begin{document}
"""
# the main paths through the diagram
p1 = Path(P(-.8,0), P(11,0), linewidth=2)
p2 = Path(P(0,2), P(6.7,2))
p3 = Path(P(0,4), P(6.7,4))
p4 = Path(P(0,5), P(6.7,5))
# define the quantum fourier transform box
r = Rectangle(c=P(6,3.5), width=.8, height=4.2, bg=Color(1))
t = TeX(r'QFT$^\dagger$')
t.rotate(-90)
t.c = r.c
qft = Group(r, t)
# define a vacuum state
ket0 = TeX(r'\ket{0}')
# define a detector
det = qc.detector()
# define the horizontal and vertical dots TeX objects
dots = TeX(r'$\cdots$')
vdots = TeX(r'$\vdots$')
# define a Hadamard gate
H = qc.Boxed(TeX(r'H'))
# ancilla qubits label
anc = TeX('$q$ ancilla qubits')
anc.rotate(-90)
# render the diagram
render(
# the paths through the circuit
p1, p2, p3, p4,
# place the dots in the diagram
Rectangle(s=P(2.7,-.2), height=5.4, width=.5, bg=Color(1), fg=Color(1)),
dots.copy(c=P(2.7,0)),
dots.copy(c=P(2.7,2)),
dots.copy(c=P(2.7,4)),
dots.copy(c=P(2.7,5)),
vdots.copy(c=P(-.2,3)),
vdots.copy(c=P(1,3)),
vdots.copy(c=P(6.8,3)),
# place the Hadamard gates
H.copy(c=P(1,2)),
H.copy(c=P(1,4)),
H.copy(c=P(1,5)),
# describe the classical path
qc.classicalpath(Path(P(6.7,2), P(7.5,2), P(7.5,5), P(6.7,5)),
Path(P(6.7,4), P(7.5,4)),
Path(P(7.5,3), P(9,3), P(9,0)),
),
# place boxes for the various unitary operations
qc.cbox(TeX(r'$\;U^{2^0}\;$'), 1.8, 0, 2),
qc.cbox(TeX(r'$U^{2^{q-2}}$'), 3.8, 0, 4),
qc.cbox(TeX(r'$U^{2^{q-1}}$'), 5, 0, 5),
# place the detectors
det.copy(c=p2.end),
det.copy(c=p3.end),
det.copy(c=p4.end),
# place the displacement of the state \rho and a label
qc.Boxed(TeX(r'$\mathcal{D}$'), c=P(9,0)),
TeX(r'\renewcommand{\arraycolsep}{1mm}$\left\{\begin{array}{ccc}0&\mathrm{w.p.}&1-p(E_j)\\1&\mathrm{w.p.}&p(E_j)\end{array}\right.$',
w=P(9.1,3)),
qc.Boxed(TeX(r'$\phi_j$'), c=P(7.5,3)),
qc.Dot(P(9,3)),
# place the vacuum states
ket0.copy(e=p2.start),
ket0.copy(e=p3.start),
ket0.copy(e=p4.start),
# place some labels
TeX(r'$\rho$', e=p1.start-P(.1,0)),
TeX(r'$\mathcal{E}(\rho)$', w=p1.end+P(.1,0)),
TeX(r'\ket{E_j}', s=P(7.5,0.1)),
# place the ancilla qubits label
anc(c=P(-1,3.5)),
# place the quantum fourier transform
qft,
# output file name
file="flower_algorithm.eps")
# vim: expandtab shiftwidth=4:
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