75 citations · 172 across the 20 of their papers we have counts for
7 papers · 1 filter
Quantum Deletion Codes Derived From Quantum Reed-Solomon Codes
Manabu Hagiwara
This manuscript presents a construction method for quantum codes capable of correcting multiple deletion errors. By introducing two new alogorithms, the alternating sandwich mappin…
Permutation-Invariant Quantum Codes for Deletion Errors
Taro Shibayama, Manabu Hagiwara
This paper presents conditions for constructing permutation-invariant quantum codes for deletion errors and provides a method for constructing them. Our codes give the first exampl…
Constructions of -Adic -Deletion-Correcting Quantum Codes
Ryutaroh Matsumoto, Manabu Hagiwara
We propose two systematic constructions of deletion-correcting codes for protecting quantum information. The first one works with qudits of any dimension, but only one deletion is…
Single Quantum Deletion Error-Correcting Codes
Ayumu Nakayama, Manabu Hagiwara
In this paper, we discuss a construction method of quantum deletion error-correcting codes. First of all, we define deletion errors for quantum states, an encoder, a decoder, and t…
A Four-Qubits Code that is a Quantum Deletion Error-Correcting Code with the Optimal Length
Manabu Hagiwara, Ayumu Nakayama
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 pap…
On the non-existence for quantum LDPC codes of type IEEE802.16e with rates 1/2 and 2/3B
Manabu Hagiwara, Hideki Imai
In this paper, we discuss a construction of CSS codes derived from pairs of practical irregular LDPC codes. Our design of irregular LDPC codes is based the design written in the st…