dense_coding.ipynb
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Dense Coding
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%load_ext sympyprinting
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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
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psi = Qubit('00')/sqrt(2) + Qubit('11')/sqrt(2); psi
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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)]
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for circuit in circuits:
circuit_plot(circuit, nqubits=2)
display(Eq(circuit*psi,qapply(circuit*psi)))
