Decoding color codes by projection onto surface codes
نویسندگان
چکیده
منابع مشابه
Decoding color codes by projection onto surface codes
We propose a new strategy to decode color codes, which is based on the projection of the error onto three surface codes. This provides a method to transform every decoding algorithm of surface codes into a decoding algorithm of color codes. Applying this idea to a family of hexagonal color codes, with the perfect matching decoding algorithm for the three corresponding surface codes, we find a p...
متن کاملEfficient fault-tolerant decoding of topological color codes
Topological color codes defined by the 4.8.8 semiregular lattice feature geometrically local check operators and admit transversal implementation of the entire Clifford group, making them promising candidates for fault-tolerant quantum computation. Recently, several efficient algorithms for decoding the syndrome of color codes were proposed. Here, we modify one of these algorithms to account fo...
متن کاملList-Decoding Multiplicity Codes
We study the list-decodability of multiplicity codes. These codes, which are based on evaluations of high-degree polynomials and their derivatives, have rate approaching 1 while simultaneously allowing for sublinear-time error-correction. In this paper, we show that multiplicity codes also admit powerful list-decoding and local list-decoding algorithms correcting a large fraction of errors. Sta...
متن کاملDecoding Codes on Graphs
Iterat ive decoding is a widely used technique in modern communications systems. The Low Density Parity Check (LDPC) codes of Gallager were the earliest codes for which iterat ive decoding techniques were dēned. These codes along with a simple iterat ive decoding algorithm were int roduced in the r̄st part of this art icle. Here we describe a probabilist ic iterat ive decoding scheme, also propo...
متن کاملDecoding prefix codes
Minimum-redundancy prefix codes have been a mainstay of research and commercial compression systems since their discovery by David Huffman more than 50 years ago. In this experimental evaluation we compare techniques for decoding minimum-redundancy codes, and quantify the relative benefits of recently developed restricted codes that are designed to accelerate the decoding process. We find that ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2014
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.89.012317