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Everything about Topological quantum computer

Type of quantum computer

A topological quantum computer is a type of quantum computer. It utilizes anyons, a type of quasiparticle that occurs in two-dimensional systems. The anyons' world lines intertwine to form braids in a three-dimensional spacetime. The braids act as the logic gates of the computer. The primary advantage of using quantum braids over trapped quantum particles is in their stability. While small but cumulative perturbations can cause quantum states to decohere and introduce errors in traditional quantum computations, such perturbations do not alter the topological properties of the braids. This stability is akin to the difference between cutting and reattaching a string to form a different braid versus a ball colliding with a wall. It was proposed by Russian-American physicist Alexei Kitaev in 1997. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Topological quantum computerA 5-minute orientation
  2. Skim a recent paper: Realization of higher-order topological lattices on a quantum computerInfluential work since 2022
  3. Pick up a classic book: Introduction to Topological Quantum Matter and Quantum ComputationThe most-reprinted book on the subject
  4. Read the landmark paper: Non-Abelian anyons and topological quantum computationCited 6,249 times
  5. Go sideways: Fibonacci anyonsA closely related topic
  6. Go sideways: Majorana fermionA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Introduction
  2. Topological vs. standard quantum computer
  3. Example: Computing with Fibonacci anyons
  4. Experimental efforts

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics