16 citations · 24 across the 3 of their papers we have counts for
4 papers · 1 filter
Trellis Decoding For Qudit Stabilizer Codes And Its Application To Qubit Topological Codes
Eric Sabo, Arun B. Aloshious, Kenneth R. Brown
Trellis decoders are a general decoding technique first applied to qubit-based quantum error correction codes by Ollivier and Tillich in 2006. Here we improve the scalability and p…
Decoding toric codes on three dimensional simplical complexes
Arun B. Aloshious, Pradeep Kiran Sarvepalli
Three dimensional (3D) toric codes are a class of stabilizer codes with local checks and come under the umbrella of topological codes. While decoding algorithms have been proposed…
On the Local Equivalence of 2D Color Codes and Surface Codes with Applications
Arun B. Aloshious, Arjun Nitin Bhagoji, Pradeep Kiran Sarvepalli
In recent years, there have been many studies on local stabilizer codes. Under the assumption of translation and scale invariance Yoshida classified such codes. His result implies…
Projecting 3D color codes onto 3D toric codes
Arun B. Aloshious, Pradeep Kiran Sarvepalli
Toric codes and color codes are two important classes of topological codes. Kubica, Yoshida, and Pastawski showed that any -dimensional color code can be mapped to a finite numb…