Paper ID | Q.3.1 | ||
Paper Title | A Four-Qubits Code that is a Quantum Deletion Error-Correcting Code with the Optimal Length | ||
Authors | Manabu Hagiwara, Ayumu Nakayama, Chiba University, Japan | ||
Session | Q.3: Quantum Error Correcting Codes and Decoding | ||
Presentation | Lecture | ||
Track | Quantum Systems, Codes, and Information | ||
Manuscript | Click here to download the manuscript | ||
Virtual Presentation | Click here to watch in the Virtual Symposium | ||
Abstract | This paper provides a new instance of quantum deletion error-correcting codes. This code can correct any single quantum deletion error, while our code is only of length 4. This paper also provides an example of an encoding quantum circuit and decoding quantum circuits. It is also proven that the length of any single deletion error-correcting codes is greater than or equal to 4. In other words, our code is optimal for the code length. |
Plan Ahead
2021 IEEE International Symposium on Information Theory
11-16 July 2021 | Melbourne, Victoria, Australia