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Quantum Physics

Follow nature from wave functions and atoms into qubits, hardware, sensing, secure communication, and quantum fields.

Reality before vocabulary

Foundations

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The Strange Quantum World

There's another world below atoms

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Superposition

The particle is everywhere at once

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The Wave Function

ψ(x,t) — the math of possibility

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Measurement

Looking is what makes things real

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The Double Slit

One particle going through two slits

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Wave-Particle Duality

Light is both — and so are you

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Uncertainty

Some things can't be known at the same time

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Quantum Tunneling

Particles walk through walls

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The Schrödinger Equation

The equation that runs the universe

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Stationary States

Standing waves in a quantum world

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The Particle in a Box

What happens when you trap a wave

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Hydrogen

How an electron orbits without orbiting

How matter gets its structure

Atomic & Molecular Physics

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Spin

Particles spin without spinning

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The Stern-Gerlach Experiment

The experiment that found spin

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Pauli Exclusion

Why every atom has a shape

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Multi-Electron Atoms

When electrons have to share a house

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Molecular Orbitals

Two atoms, one shared cloud

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Chemical Bonding

Why atoms stick together

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Spectroscopy

How light tells you what something is

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Lasers

Coherent light, plain and simple

From bits to qubits

Quantum Information

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Bits and Qubits

Beyond zero and one

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The Bloch Sphere

Every quantum state is a point on a sphere

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Single-Qubit Gates

Rotations of the Bloch sphere

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The CNOT Gate

When two qubits become one

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Entanglement

Two particles, one shared destiny

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Bell States

Einstein was wrong about this one

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Quantum Teleportation

Quantum information at any distance

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The No-Cloning Theorem

You can't copy a quantum state

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POVMs

Measurement isn't always yes-or-no

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Density Matrices

Quantum states with imperfect information

Algorithms as physical operations

Quantum Computing

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Quantum Circuits

Reading the circuit diagram

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Universal Quantum Gates

All quantum logic from a small set

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Deutsch-Jozsa

The first quantum advantage

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Grover Search

Searching faster than possible

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Quantum Fourier Transform

The quantum Fourier transform

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Shor's Algorithm

How quantum computers break encryption

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Variational Quantum Eigensolver

Solving chemistry with quantum hardware

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QAOA

Approximating impossible optimizations

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Quantum Machine Learning

When neural networks meet qubits

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NISQ Computing

What today's quantum computers can do

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Fault Tolerance

Building reliability from unreliability

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Surface Codes

The error-correcting code that might win

Turning equations into machines

Quantum Hardware

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Superconducting Qubits

Qubits made of supercooled metal

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Trapped Ions

Qubits made of single floating atoms

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Photonic Qubits

Qubits made of light

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Topological Qubits

The qubit that's intrinsically protected

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Neutral Atoms

Qubits made of atoms held by lasers

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Spin Qubits

Qubits inside silicon — the same stuff as your computer

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Decoherence

Why quantum computers have to be cold

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Cryogenics

How to make something colder than space

Measurement pushed to the edge

Quantum Sensing

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Quantum Sensing

Measuring the universe more precisely than physics should allow

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Atomic Clocks

The most accurate clocks in existence

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NV Centers

A defect in diamond that can sense a single electron

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Quantum Gravity Sensing

Detecting the pull of a single grain of rice

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LIGO

How LIGO detected colliding black holes

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Quantum Imaging

Photographing things with light that never touched them

Security from physics

Quantum Cryptography

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The Classical Cryptography Problem

Quantum computers will break the internet

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BB84

BB84 — the original quantum-secure key exchange

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E91

Bell-state cryptography

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Post-Quantum Cryptography

Post-quantum cryptography — fighting fire with fire

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Quantum Random Number Generation

True randomness from a quantum coin flip

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The Quantum Internet

What a real quantum internet would look like

Fields under every particle

QFT & Beyond

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The Quantum Vacuum

Empty space is full of activity

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Quantum Electrodynamics

How light and matter actually interact

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Feynman Diagrams

Drawing the impossible

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Path Integrals

All paths at once

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The Standard Model

What the universe is made of, plain and simple

What quantum theory says about reality

Foundations & Philosophy

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The Measurement Problem

Why measurement is still a mystery

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Many Worlds

Every measurement creates a universe

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Copenhagen

The standard interpretation, examined

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Pilot Wave Theory

What if particles really do have positions?

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QBism

What if the wave function is just a tool?