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Everything about Stabilizer code
Quantum error correction code
In quantum computing and quantum communication, a stabilizer code is a class of quantum codes for performing quantum error correction. The toric code, and surface codes more generally, are types of stabilizer codes considered very important for the practical realization of quantum information processing. In fact, the toric code and surface codes also belong to a special class of stabilizer codes, CSS codes. An example of a stabilizer code that is not a CSS code is the five-qubit error correcting code. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Stabilizer codeA 5-minute orientation
- Skim a recent paper: Narain CFTs from qudit stabilizer codesInfluential work since 2022
- Pick up a classic book: Stability and oscillations of nonlinear pulse-modulated systemsThe most-reprinted book on the subject
- Read the landmark paper: Flag Fault-Tolerant Error Correction for any Stabilizer CodeCited 92 times
- Go sideways: Steane codeA closely related topic
- Go sideways: Quantum error correctionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Flag Fault-Tolerant Error Correction for any Stabilizer Code
Universality Classes of Stabilizer Code Hamiltonians
Real-time processing of stabilizer measurements in a bit-flip code
Anyonic self-induced disorder in a stabilizer code: Quasi many-body localization in a translational invariant model
Conversion of a general quantum stabilizer code to an entanglement distillation protocol
Graph gauge theory of mobile non-Abelian anyons in a qubit stabilizer code
Based on Quantum Topological Stabilizer Color Code Morphism Neural Network Decoder
Implementation of Fault-Tolerant Encoding Circuit Based on Stabilizer Implementation and “Flag” Bits in Steane Code
🆕 Influential since 2022
📚 Books worth reading
Stability and oscillations of nonlinear pulse-modulated systemsArkadiĭ Khaĭmovich Gelig · 1998
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Steane code The Steane code is a tool in quantum error correction introduced by Andrew Steane in 1996. It is a CSS code (Calderbank-Shor-Steane), using the classical…
- Quantum error correction Quantum error correction (QEC) comprises a set of techniques used in quantum memory and quantum computing to protect quantum information from errors arising…
- Five-qubit error correcting code The five-qubit error correcting code, [[5,1,3]] code, or Laflamme–Miquel–Paz–Zurek code is the smallest quantum error correcting code that can protect…
- Entanglement distillation Entanglement distillation (also called entanglement purification) is the transformation of N copies of an arbitrary entangled state ρ into some number…
- Surface code The surface code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. The first…
- Quantum convolutional code Quantum block codes are useful in quantum computing and in quantum communications. The encoding circuit for a large block code typically has a high complexity…
- Entanglement-assisted stabilizer formalism In the theory of quantum communication, the entanglement-assisted stabilizer formalism is a method for protecting quantum information with the help of…
- One-way quantum computer The one-way quantum computer, also known as measurement-based quantum computer (MBQC), is a method of quantum computing that first prepares an entangled…