Quantum Party Tricks
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featuring grumpy cat
About Presenter James Weaver
IBM Quantum Developer Advocate
Java Champion
Developer / Author / Speaker
james.weaver@ibm.com
JavaFXpert.com
CulturedEar.com
History repeating itself
Massive hardware, limited bits, software infancy
Quantum computers make direct use of quantum-mechanical phenomena, such as superposition, interference and entanglement, to perform operations on data.
Feasible on classical computers
Feasible on quantum computers
Solutions to problems
Why use a quantum computer?
Some problems may be solved exponentially faster
Near-term quantum computing domains
Machine Learning
Optimization
Chemistry
Finance
My microscopic cat is often grumpy
\vert\space\space\space\rangle
\vert\space\space\space\rangle
sometimes he is actually happy
but I've never observed him in-between those states
\vert\space\space\space\rangle
=
\begin{bmatrix}
1 \\
0
\end{bmatrix}
\vert\space\space\space\rangle
=
\begin{bmatrix}
0 \\
1
\end{bmatrix}
=
\begin{bmatrix}
\sqrt{\frac{1}{3}} \\
\sqrt{\frac{2}{3}}
\end{bmatrix}
\sqrt{\frac{1}{3}}
\vert\space\space\space\rangle
+
\sqrt{\frac{2}{3}}
\vert\space\space\space\rangle
\vert\space\space\space\rangle
\vert\space\space\space\rangle
Axiom 1: Superposition principle
Cat can be in any combination of grumpy and happy
\vert\space\space\space\space\rangle
\vert\space\space\space\space\rangle
\vert\space\space\space\space\rangle
\vert\space\space\space\space\rangle
\vert\space\space\space\space\rangle
\vert\space\space\space\space\rangle
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Axiom 2: Unitary evolution
gates modeled as matrices
X
\begin{bmatrix}
0 & 1 \\
1 & 0
\end{bmatrix}
\cdot
\begin{bmatrix}
1 \\
0
\end{bmatrix}
=
\begin{bmatrix}
0 \\
1
\end{bmatrix}
NOT gate (Pauli/X, bit-flip)
Making Grumpy Cat happy with an X gate
After measurement
Before measurement
Download QiskitBlocks from qisk.it/blocks
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Hadamard gate
great for putting cats in equal superpositions
H
\begin{bmatrix}
\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\
\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}}
\end{bmatrix}
\cdot
\begin{bmatrix}
1 \\
0
\end{bmatrix}
=
\begin{bmatrix}
\frac{1}{\sqrt{2}} \\
\frac{1}{\sqrt{2}}
\end{bmatrix}
Hadamard gate
\sqrt{\frac{1}{2}}
\vert\space\space\space\rangle
+
\sqrt{\frac{1}{2}}
\vert\space\space\space\rangle
Making Grumpy Cat happy about half the time
After measurement
Before measurement
\sqrt{\frac{1}{3}}
\vert\space\space\space\rangle
+
\sqrt{\frac{2}{3}}
\vert\space\space\space\rangle
Axiom 3: Measurement
probability is amplitude squared
When observed there is a:
\frac{1}{3}
\frac{2}{3}
probability of being grumpy
probability of being happy
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Quantum entanglement
spooky actions at a distance
H
Hadamard gate
\vert\space\space\space\rangle
CNOT gate
\sqrt{\frac{1}{2}}
+
\vert\space\space\space\space\space\space\space\rangle
\vert\space\space\space\space\space\space\space\rangle
\sqrt{\frac{1}{2}}
\sqrt{\frac{1}{2}}
+
\vert\space\space\space\space\space\space\space\rangle
\vert\space\space\space\space\space\space\space\rangle
\sqrt{\frac{1}{2}}
Mars - ESA
Alice Cat
Bob Cat
Venus - NASA
\vert\space\space\rangle
=
\begin{bmatrix}
1 & 0 & 0 & 0 \\
0 & 0 & 0 & 1 \\
0 & 0 & 1 & 0 \\
0 & 1 & 0 & 0
\end{bmatrix}
\begin{bmatrix}
\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\
\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}}
\end{bmatrix}
Entangling Alice Cat and Bob Cat
After measurement
Before measurement
Running on an IBM quantum computer
Right-click the Q block and paste QASM into IBM Quantum Experience Circuit Composer
IBM Q Experience Qiskit notebooks
Qiskit open source quantum computing framework
Developing quantum apps
Quantum Party Tricks
\vert\space\space\space\rangle
featuring grumpy cat
JJUG Lightning Talk: Grumpy and Happy Cats
By javafxpert
JJUG Lightning Talk: Grumpy and Happy Cats
Learn some Quantum Party Tricks!
