[Joint CQSE & NCTS Seminar] Every quantum error-correcting code has a structure like Pauli stabilizer codes

Title: [Joint CQSE & NCTS Seminar] Every quantum error-correcting code has a structure like Pauli stabilizer codes
Speaker: Dr. Jhih-Yuan Kao (National Taiwan University)
Time: Mar. 10, 2023, 14:30-15:30
Place: NCTS Physics Lecture Hall, 4F, Chee-Chun Leung Cosmology Hall, NTU
Online: https://nationaltaiwanuniversity-zbh.my.webex.com/nationaltaiwanuniversity-zbh.my/j.php?MTID=m210715f40b11b5794be46cfbb95824d1

In this talk, I will give an introduction to quantum error correction; in particular, I
will introduce the fundamental theory thereof and the necessary mathematical concepts
in order to have a basic understanding of error correction, while keeping it as accessible
as possible to the audience.
I will then move on to present our recent work: Pauli stabilizer formalism is
perhaps the most thoroughly studied means of procuring quantum error-correcting
codes, whereby the code is obtained through commutative Pauli operators and
“stabilized” by them. In this work we show that every quantum error-correcting codes,
including Pauli stabilizer codes and subsystem codes, has a similar structure, in that the
code can be stabilized by commutative “Paulian” operators which share many features
with Pauli operators and which form a Paulian stabilizer group. By facilitating
generalized controlled-NOT (CNOT) operations we can measure these Paulian
operators to acquire the error syndrome. Examples concerning codeword stabilized
codes and bosonic codes will be presented; specifically, one of the examples has been
demonstrated experimentally and the observable for detecting the error turns out to be
Paulian, thereby showing the potential utility of this approach. This work provides a
possible approach to implement error-correcting codes and to find new codes.

National Cheng Kung University, bachelor’s degree: 2007 – 2011
National Cheng Kung University, master’s degree: 2011 – 2014
National Cheng Kung University, doctorate: 2014 – 2020
Postdoc researcher, National Taiwan University: 2020 – Present