Copyright (C) 2011 and later, Paul D. Nation & Robert J. Johansson
This notebooks demonstrates how a toffoli gate can be rewritten in terms of CNOT gates and single qubit gates, and verifies the equivalence of the two gate sequences by comparing their matrix representations. For more information about the toffoli decomposition, see Nielsen & Chuang, Sec. 4.3, p178.
Note: The circuit image visualizations require ImageMagick for display.
ImageMagick can be easily installed with the command conda install imagemagick
if you have conda installed.
Otherwise, please follow the installation instructions on the ImageMagick documentation.
from qutip import *
from qutip_qip.operations import *
from qutip_qip.circuit import QubitCircuit, Gate
q = QubitCircuit(3, reverse_states=False)
q.add_gate("TOFFOLI", controls=[0, 2], targets=[1])
q.png
U = gate_sequence_product(q.propagators())
U.tidyup()
q2 = q.resolve_gates()
q2.png
U2 = gate_sequence_product(q2.propagators())
U2.tidyup()
U == U2
True
from qutip.ipynbtools import version_table
version_table()
Software | Version |
---|---|
QuTiP | 4.7.0+f635fb8 |
Numpy | 1.20.2 |
SciPy | 1.6.3 |
matplotlib | 3.4.1 |
Cython | 0.29.23 |
Number of CPUs | 12 |
BLAS Info | Generic |
IPython | 7.21.0 |
Python | 3.9.4 | packaged by conda-forge | (default, May 10 2021, 22:10:34) [MSC v.1916 64 bit (AMD64)] |
OS | nt [win32] |
Tue May 25 20:22:02 2021 W. Europe Daylight Time |