Introduction to Quantum

Fall 2023

For any of you who haven’t done so already

https://discord.gg/NyBwMaCTVz

Welcome!

Turn to a neighbor and answer the following questions

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• Name
• What you study
• Favorite kind of donut

What is a quantum computer?

What is a quantum computer?

What have you guys heard about quantum computers?��What do you think a quantum computer is?

The Quantum Video Game Analogy

The Quantum Video Game Analogy

The Quantum Video Game Analogy

What do you think?

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Why do you think quantum computing is important?

What does a quantum computer look like, and how does it work?

What does a quantum computer look like, and how does it work?

What is a quantum computer good for?

What is a quantum computer good for?

Have you heard of any other applications?�

(We’re probably going to discover new applications we’ve never seen before)�

Why are people investing in QC?

• Practical Applications:
• Cryptography
• Pharmaceutics
• Number Crunching
• Machine Learning
• Finance
• Communication

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• The “Cool” Factor
• Quantum Physics is cool
• Computers are cool
• Ergo, Quantum Computing is cool

Quantum Encryption

Quantum Encryption

Have you heard of elliptic curve cryptography?��What do you guys think about quantum cryptography?

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What repercussions of it do you think there would be?

Short Break: QuanTom and Jerry

https://akuvolts.itch.io/quantom-and-jerry

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Can you catch Jerry by manipulating the information you have for the position and velocity of Jerry?

Getting involved

How much math do you think you need?�

How much physics do you think you need?��What do you actually need?

Qubits & Linear Algebra in a Nutshell

w/ Dirac Notation

Complex Number

• Real + Imaginary = Complex
• Polar Form
• Angle Argument θ

Complex Number

State Basics

• Complete base states
• Dirac/Matrix Notation

Qubit

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• General Qubit State
• Normalized
• Probability Conserving

Measuring a Qubit

• Measure a state to get value, i.e +1 or -1
• Measurement collapses state

Bloch Sphere

• State on surface of sphere
• Complete basis: |0>, |1>
• Gates (operators) rotate state about sphere

Multiple Qubits

• One qubit = Two-dimensional Vector
• Two qubits = Four-dimensional Vector
• Three qubits = Eight-dimensional Vector
• N qubits = 2ⁿ-dimensional Vector

IBM Quantum Experience

• Each line represents a qubit
• Operations can be performed on bits, and output blocks can be used to extract their values

https://quantum-computing.ibm.com/

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QC-related Courses?

• ECE:
• Quantum Systems (e.g. ECE 305,405)
• Quantum Information (ECE 406)
• Quantum Optics (ECE 407)
• PHYS:
• Quantum Physics (e.g. Phys 214,486)
• Quantum Computing (Phys 370)
• MATH:
• Linear Algebra (e.g. Math 416)
• CS:
• Quantum Computing (CS498QC)

Next week: Intro to Quantum Pt. 2 w/ Aku!