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Codebook

Learn quantum computing with PennyLane — the leading tool for programming quantum computers.

Introduction to Quantum ComputingSingle-Qubit GatesCircuits with Many QubitsBasic Quantum AlgorithmsGrover's AlgorithmNoisy Quantum TheoryQuantum Error CorrectionQuantum Fourier TransformQuantum Phase EstimationShor's AlgorithmHamiltonian Time EvolutionDistance Measures
An illustration of a computer screen that shows one half with a traditional quantum computing textbook with sticky notes and paper clips, and the other half displaying a quantum programming online textbook for learning PennyLane quantum software

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Introduction to Quantum Computing

All About Qubits

Learn the fundamental concepts in quantum computing.

Quantum Circuits

Get some hands-on experience in building quantum circuits.

Unitary Matrices

Learn how to represent quantum operations using unitary matrices.

Single-Qubit Gates

X and H

Become familiar with the Pauli X and Hadamard gates.

It's Just a Phase

Learn about qubit rotations and global phases.

From a Different Angle

Study the effects of qubit rotation about the X and Y axes.

Universal Gate Sets

Build all possible single-qubit gates from a subset of them.

Prepare Yourself

Review all that you have learned about single-qubit gates.

Measurements

Dive into the probabilistic nature of measurements.

What Did You Expect?

Sample and process quantum measurement outcomes.

Circuits with Many Qubits

Multi-Qubit Systems

Learn how to build quantum circuits with many qubits.

All Tied Up

Explore the mysteries of quantum entanglement.

We've Got It Under Control

Expand your gate repertoire by using controlled gates.

Multi-Qubit Gate Challenge

Hone your skills with these extra challenging exercises.

Basic Quantum Algorithms

No Exponential Magic

Can we use superposition to speed up calculations?

The Magic 8-Ball

Understand the role of oracles in quantum algorithms.

Pair Programming

Learn how the oracle can be used to test solutions in pairs.

Making and Breaking Promises

Explore the role of information and promises in algorithm design.

Hadamard Transform

Understand the effect of the Hadamard transform.

Deutsch–Jozsa

Implement the Deutsch–Jozsa algorithm..

Grover's Algorithm

Introduction to Grover Search

Become familiar with the basic components of Grover's Algorithm.

Searching with Geometry

Study Grover's Algorithm from a geometric perspective.

Searching with Circuits

Learn the relation between phase kickback and Grover search.

Steps and Speedups

Compute the optimal number of Grover steps.

Multiple Solutions

Implement Grover to search for multiple solutions.

Noisy Quantum Theory

All Mixed Up

All about density operators.

Operations with Mixed States

Build quantum circuits with mixed states.

Trace It and Forget It

Use density matrices to represent subsystems.

Quantum Error Correction

Got Errors?

Review the foundations of classical error correction.

No Flip-Flopping Allowed!

Use quantum protocols to mitigate phase and bit flip errors.

Are You Shor This Works?

Correct errors using Shor's code.

Quantum Fourier Transform

Changing Perspectives

A review of the classical Discrete Fourier Transform

Quantum Fourier Transform

Learn about the Quantum Fourier Transform and its properties.

Connecting the Dots

Generalize the Quantum Fourier Transform for more qubits.

Quantum Phase Estimation

Catch the Phase

Calculate phases using the phase kickback technique.

It's not Just a Phase

Derive the Quantum Phase Estimation algorithm

Let's Be Rational

Estimate phases without a t-bit binary expansion.

A Mixed Bag

Analyze the QPE output for an arbitrary input state.

Shor's Algorithm

Modular Arithmetic

Review the basics of modular arithmetic.

Classical Factorization

Learn how to factor integers using modular arithmetic techniques.

Period Finding

Implement the period finding routine.

Shor's Algorithm

Code Shor's algorithm in its full splendor.

The RSA System

Use Shor's algorithm to break encryption systems.

Hamiltonian Time Evolution

Simulating Nature

Use computers to simulate the laws of nature

Unitaries

Understand why quantum gates are unitary.

Hamiltonians

Predict the evolution of a system from its physics.

Energy in quantum systems

Understand the relation between Hamiltonians and energy.

Approximating exponentials

Simulate unitary evolution using circuits.

Distance Measures

Metrics and Distance

Calculate the distance between probability distributions.

Measuring Similarity

Use the Battacharyya coefficient to compare probability distributions.

The Trace Distance

Measure the distance between quantum states.

Fidelity

Calculate how close two quantum states are.

Need help?

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PennyLane

PennyLane is an open-source software framework for quantum machine learning, quantum chemistry, and quantum computing, with the ability to run on all hardware. Built with ❤️ by Xanadu.

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