decompose.ipynb
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Gate Decomposition
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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
Example 1
Create a symbolic controlled-Y gate
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CY10 = CGate(1, Y(0)); CY10
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Decompose it into elementary gates and plot it
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CY10.decompose()
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circuit_plot(CY10.decompose(), nqubits=2)
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Example 2
Create a controlled-Z gate
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CZ01 = CGate(0, Z(1)); CZ01
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Decompose and plot it
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CZ01.decompose()
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circuit_plot(CZ01.decompose(), nqubits=2)
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Example 3
Create a SWAP gate
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SWAP10 = SWAP(1, 0); SWAP10
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Decompose and plot it
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SWAP10.decompose()
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circuit_plot(SWAP10.decompose(), nqubits=2)
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All together now
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gates = [CGate(1,Y(0)), CGate(0,Z(1)), SWAP(1, 0)]
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for g in gates:
dg = g.decompose()
display(Eq(g, dg))
circuit_plot(g, nqubits=2)
circuit_plot(dg, nqubits=2)
