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Wrap os.path functions in method calls...
Wrap os.path functions in method calls Some functions from os.path are now references to C functions (e.g. isdir on Windows). This breaks the path module, because compiled functions do not get bound to an object instance. All os.path functions have been wrapped in method calls, out of general caution. Closes gh-737
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teleportation.ipynb
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Teleportation

In [5]:
%load_ext sympyprinting
In [6]:
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 [7]:
a,b = symbols('a b', real=True)
state = Qubit('000')*a + Qubit('001')*b; state
Out[7]:
$$a {\left|000\right\rangle } + b {\left|001\right\rangle }$$
In [8]:
entangle1_2 = CNOT(1,2)*HadamardGate(1); entangle1_2
Out[8]:
$$CNOT_{1,2} H_{1}$$
In [9]:
state = qapply(entangle1_2*state); state
Out[9]:
$$\frac{1}{2} \sqrt{2} a {\left|000\right\rangle } + \frac{1}{2} \sqrt{2} a {\left|110\right\rangle } + \frac{1}{2} \sqrt{2} b {\left|001\right\rangle } + \frac{1}{2} \sqrt{2} b {\left|111\right\rangle }$$
In [10]:
entangle0_1 = HadamardGate(0)*CNOT(0,1); entangle0_1
Out[10]:
$$H_{0} CNOT_{0,1}$$
In [11]:
circuit_plot(entangle0_1*entangle1_2, nqubits=3)
Out[11]:
<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x3b9fb90>
No description has been provided for this image
In [12]:
state = qapply(entangle0_1*state); state
Out[12]:
$$\frac{1}{2} a {\left|000\right\rangle } + \frac{1}{2} a {\left|001\right\rangle } + \frac{1}{2} a {\left|110\right\rangle } + \frac{1}{2} a {\left|111\right\rangle } + \frac{1}{2} b {\left|010\right\rangle } - \frac{1}{2} b {\left|011\right\rangle } + \frac{1}{2} b {\left|100\right\rangle } - \frac{1}{2} b {\left|101\right\rangle }$$
In [13]:
result = measure_partial(state, (0,1))
In [14]:
state = (result[2][0]*2).expand(); state
Out[14]:
$$\frac{a {\left|110\right\rangle }}{\sqrt{a^{2} + b^{2}} \sqrt{\frac{1}{4} \lvert{\frac{a}{\sqrt{a^{2} + b^{2}}}}\rvert^{2} + \frac{1}{4} \lvert{\frac{b}{\sqrt{a^{2} + b^{2}}}}\rvert^{2}}} + \frac{b {\left|010\right\rangle }}{\sqrt{a^{2} + b^{2}} \sqrt{\frac{1}{4} \lvert{\frac{a}{\sqrt{a^{2} + b^{2}}}}\rvert^{2} + \frac{1}{4} \lvert{\frac{b}{\sqrt{a^{2} + b^{2}}}}\rvert^{2}}}$$
In [15]:
state = qapply(XGate(2)*state); state
Out[15]:
$$\frac{a {\left|010\right\rangle }}{\sqrt{a^{2} + b^{2}} \sqrt{\frac{1}{4} \lvert{\frac{a}{\sqrt{a^{2} + b^{2}}}}\rvert^{2} + \frac{1}{4} \lvert{\frac{b}{\sqrt{a^{2} + b^{2}}}}\rvert^{2}}} + \frac{b {\left|110\right\rangle }}{\sqrt{a^{2} + b^{2}} \sqrt{\frac{1}{4} \lvert{\frac{a}{\sqrt{a^{2} + b^{2}}}}\rvert^{2} + \frac{1}{4} \lvert{\frac{b}{\sqrt{a^{2} + b^{2}}}}\rvert^{2}}}$$