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test_qpt.py
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test_qpt.py
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# This file is part of QuTiP: Quantum Toolbox in Python.
#
# Copyright (c) 2011 and later, Paul D. Nation and Robert J. Johansson.
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions are
# met:
#
# 1. Redistributions of source code must retain the above copyright notice,
# this list of conditions and the following disclaimer.
#
# 2. Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
#
# 3. Neither the name of the QuTiP: Quantum Toolbox in Python nor the names
# of its contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
# PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
# HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
# LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
# DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
# THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
###############################################################################
import numpy as np
from numpy.testing import assert_, run_module_suite
from numpy.linalg import norm
from qutip import (spre, spost, qeye, sigmax, sigmay, sigmaz, qpt)
from qutip.qip.gates import snot, cnot
def test_qpt_snot():
"quantum process tomography for snot gate"
U_psi = snot()
U_rho = spre(U_psi) * spost(U_psi.dag())
N = 1
op_basis = [[qeye(2), sigmax(), 1j * sigmay(), sigmaz()] for i in range(N)]
#op_label = [["i", "x", "y", "z"] for i in range(N)]
chi1 = qpt(U_rho, op_basis)
chi2 = np.zeros((2 ** (2 * N), 2 ** (2 * N)), dtype=complex)
chi2[1, 1] = chi2[1, 3] = chi2[3, 1] = chi2[3, 3] = 0.5
assert_(norm(chi2 - chi1) < 1e-8)
def test_qpt_cnot():
"quantum process tomography for cnot gate"
U_psi = cnot()
U_rho = spre(U_psi) * spost(U_psi.dag())
N = 2
op_basis = [[qeye(2), sigmax(), 1j * sigmay(), sigmaz()] for i in range(N)]
#op_label = [["i", "x", "y", "z"] for i in range(N)]
chi1 = qpt(U_rho, op_basis)
chi2 = np.zeros((2 ** (2 * N), 2 ** (2 * N)), dtype=complex)
chi2[0, 0] = chi2[0, 1] = chi2[1, 0] = chi2[1, 1] = 0.25
chi2[12, 0] = chi2[12, 1] = 0.25
chi2[13, 0] = chi2[13, 1] = -0.25
chi2[0, 12] = chi2[1, 12] = 0.25
chi2[0, 13] = chi2[1, 13] = -0.25
chi2[12, 12] = chi2[13, 13] = 0.25
chi2[13, 12] = chi2[12, 13] = -0.25
assert_(norm(chi2 - chi1) < 1e-8)
if __name__ == "__main__":
run_module_suite()