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Tweak docstring for %recall....
Tweak docstring for %recall. Closes gh-932

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dense_coding.ipynb
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Dense Coding

In [2]:
%load_ext sympyprinting
In [3]:
from sympy import sqrt, symbols, Rational
from sympy import expand, Eq, Symbol, simplify, exp, sin
from sympy.physics.quantum import *
from sympy.physics.quantum.qubit import *
from sympy.physics.quantum.gate import *
from sympy.physics.quantum.grover import *
from sympy.physics.quantum.qft import QFT, IQFT, Fourier
from sympy.physics.quantum.circuitplot import circuit_plot
In [4]:
psi = Qubit('00')/sqrt(2) + Qubit('11')/sqrt(2); psi
Out[4]:
$$\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }$$
In [5]:
circuits = [H(1)*CNOT(1,0), H(1)*CNOT(1,0)*X(1), H(1)*CNOT(1,0)*Z(1), H(1)*CNOT(1,0)*Z(1)*X(1)]
In [6]:
for circuit in circuits:
    circuit_plot(circuit, nqubits=2)
    display(Eq(circuit*psi,qapply(circuit*psi)))
$$H_{1} CNOT_{1,0} \left(\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }\right) = {\left|00\right\rangle }$$
$$H_{1} CNOT_{1,0} X_{1} \left(\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }\right) = {\left|01\right\rangle }$$
$$H_{1} CNOT_{1,0} Z_{1} \left(\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }\right) = {\left|10\right\rangle }$$
$$H_{1} CNOT_{1,0} Z_{1} X_{1} \left(\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }\right) = {\left|11\right\rangle }$$
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