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, ...
Useful Info
Summarization of Customary Measurement Systems
This post summarizes frequently-used United States customary units. We’ll cover the major units of length, area, volume, weight, temperature, etc.