Mathematical Sciences (1) Modeling of Complex Systems: Exact performance of certain commonly considered quantum correction codes with a general noise channel
Abstract
The primary objective of this project is to advance the theory of quantum error correction (QEC) with a view to applications in quantum computing. A secondary objective is to enlist and inspire students, both graduate and undergraduate, to become active participants in this exciting and fascinating field of exploration. With employing a dynamical system approach, the method of semidefinite programming and other mathematical tools, the anticipated results of this project include: obtaining explicit process matrices of the coding maps of several commonly considered codes with symmetric decoders for a general error channel and optimal decoders for certain specific noise channels, and then conducting exact analysis on the performance of the quantum coding maps by using the process matrices. A more general QEC approach to the realistic scenario of faulty gates would be developed. The outcomes to flow from this project will be valuable to a wide audience of active investigators at the forefront of research in the fields of quantum error correction, and quantum computing and quantum information in general in their quest to understand the performance of the quantum error correction codes, and the related computational and physical properties of quantum systems. Last but not least, through this project, students, both graduate and undergraduate, are introduced to the field of quantum information and quantum compution.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Aug 02, 2022
- Source ID
- W911NF2210208
Entities
People
- Chaobin Liu
Organizations
- Army Contracting Command
- Bowie State University
- United States Army