A PROPER STUDY OF GROUP THEORETIC METHODS IN QUANTUM ERROR CORRECTION
Abstract
The field of group theory in physics has since played an important role and powerful mathematical tool in describing symmetry arises in physics. The key to the well-established group theoretic method is known as the group representation theory. Interestingly, one of the current technologies that is essentially based on group symmetry is the quantum error correction (QEC). In brief, QEC is a technology that will protect a quantum state from noise and decoherence and thus has become one of the important features that is to improve the error threshold of fault-tolerant quantum computing. This proposed project aims to further explore the methods of group theory to understand the stabilizer formalism in quantum error correction. Studies have shown that QEC is indeed complicated and thus, the objective is to understand properly the stabilizer formalism in the context of group theory and make a comparison of the results from the stabilizer formalism to the relevant error models. In such cases, one may consider discussing and reviewing the links of the quantum stabilizer code (example of QEC) with group theory, the construction of group symmetry in Shor’s 9-qubit code and other important special case of a stabilizer code. It is hoped that the proposed studies could lead to a simpler decoding procedure that is beneficial to the error correction procedures and fault-tolerant gates.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Apr 20, 2023
- Source ID
- FA23862214062
Entities
People
- Nurisya Mohd Shah
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Putra Malaysia