We're sorry but this page doesn't work properly without JavaScript enabled. Please enable it to continue.
Feedback

Quantum Error Correcting: Codes for Locavores

Formal Metadata

Title
Quantum Error Correcting: Codes for Locavores
Alternative Title
Subsystem Codes for Locavores
Title of Series
Number of Parts
48
Author
License
CC Attribution - NonCommercial - NoDerivatives 3.0 Germany:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Identifiers
Publisher
Release Date
Language

Content Metadata

Subject Area
Genre
Abstract
In quantum error correction quantum information is encoded across multiple quantum subsystems in such a way that one can diagnose and fix the most likely errors that occur to the system. This error correcting step is achieved by performing a measurement that does not disturb the encoded quantum information but does diagnose what error has occurred on the system. These error diagnosing measurements are often, but not always, of observables that are non-trivial over nearly the entire quantum system containing the encoded quantum information. The exceptions to this rule are topological and color quantum codes where the diagnosing measurements involve only a small number of spatially local subsystems (that is, involve only measurements over a constant sized neighborhood on some D-dimensional lattice.) These spatially local codes are much better suited to most realistic physical implementations of quantum computers. In this talk I will describe work (joint with Jonathan Shi) that shows how to convert a large class of quantum error correcting codes, all stabilizer codes, into spatially local codes. These codes are subsystem codes derived from measurement based quantum computing and have the same distance and rate as the original code, at the cost of using more qubits. The best of these codes have distances that scale as an area in two out of three spatial dimensions, and have ill-defined distances in the remaining dimension.