An Introduction to Quantum Error Correction, Part 5: Thresholds and Fault Tolerance
This post introduces the Accuracy Threshold Theorem—the condition under which error correction works—and outlines fault-tolerant methods for executing operat...
Quantum Computing
An Introduction to Quantum Error Correction, Part 4: The Surface Code
This post introduces the surface code, a leading quantum error-correcting code designed for practical, large-scale quantum computers. We’ll explore its 2D g...
An Introduction to Quantum Error Correction, Part 3: Classic Codes — Shor and Steane
This post applies the theory of stabilizers to deconstruct two of the most historically significant quantum error-correcting codes. We’ll analyze how the Sh...
An Introduction to Quantum Error Correction, Part 2: Logical Qubits and Code Distance
This post explores the mathematical framework that enables error correction and quantifies a code’s power. We will define the logical operators that manipul...
An Introduction to Quantum Error Correction, Part 1: The Stabilizer Formalism
This post introduces the stabilizer formalism, the primary framework for quantum error correction. We’ll explain how these operators define a protected quan...
A Guide to Quantum Gates, Part 2: Universal Quantum Computation
This post explores how to achieve universal quantum computation by moving beyond the Clifford group. We’ll introduce the essential T-gate and show how this s...
A Guide to Quantum Gates, Part 1: The Clifford Group
This post introduces the Clifford group, a key toolkit in quantum computing. We’ll cover the Pauli gates (X, Y, Z) and the Clifford gates that manage them, ...