ILAS2016 — 11–15 July 2016 — KU Leuven, Belgium

20th Conference of the International Linear Algebra Society (ILAS)

20th ILAS Conference

In minisymposium: Linear Algebra and Quantum Computation

Wed 12:00–12:30, Auditorium Jean Monnet
Quantum error correction for collective rotation channels
Raymond Nung-Sing Sze (The Hong Kong Polytechnic University)
Joint work with Utkan Güngördü (University of Nebraska-Lincoln); Chi-Kwong Li (College of William & Mary); Mikio Nakahara (Kinki University); Yiu-Tung Poon (Iowa State University); Hiroyuki Tomita (Kinki University)

The idea of quantum error correction is to protect quantum information from errors due to decoherence and other quantum noise during the transmission of information in quantum channels. In this talk, we consider the situation when all physical qubits involved in coding suffer from the same error operators. A recursive error correcting scheme and its implementing encoding and decoding quantum circuits will be presented. The result will also be extended to the qudit case. This talk is based on joint works with Güngördü, Li, Nakahara, Poon, and Tomita.