著者

Manabu Hagiwara

出版者

The Institute of Electronics, Information and Communication Engineers

雑誌

IEICE Communications Express (ISSN:21870136)

巻号頁・発行日

pp.2020XBL0191, (Released:2021-02-16)

被引用文献数

3

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The classical insertion codes were discovered at the same time as the classical deletion codes. The quantum deletion code was presented at IEICE Communications Express last year, but quantum insertion codes were never constructed. In this article, we provide the first quantum insertion code. Its encoding is the same as the four-qubits deletion code, known as the theoretically shortest deletion code.

著者

Manabu HAGIWARA

出版者

The Institute of Electronics, Information and Communication Engineers

雑誌

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (ISSN:09168508)

巻号頁・発行日

pp.2022TAP0008, (Released:2022-09-21)

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This paper considers error-correction for information in array design, i.e., two-dimensional design such as QR-codes. The error model is multi deletion/substitution/erasure errors. Code construction for the errors and an application of the code are provided. The decoding technique uses an error-locator for deletion codes.

著者

Ayumu Nakayama Manabu Hagiwara

出版者

The Institute of Electronics, Information and Communication Engineers

雑誌

IEICE Communications Express (ISSN:21870136)

巻号頁・発行日

pp.2019XBL0154, (Released:2020-01-22)

被引用文献数

12

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A quantum error-correcting code for single deletion errors is provided. To the authors' best knowledge, this is the first code for deletion errors.

著者

Manabu Hagiwara

出版者

(社)電子情報通信学会

雑誌

IEICE Communications Express (ISSN:21870136)

巻号頁・発行日

vol.5, no.2, pp.49-51, 2016 (Released:2016-02-03)

参考文献数

3

被引用文献数

7

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A short proof for the s-deletion error-correction property of Helberg codes is given.

著者

Ryutaroh MATSUMOTO Manabu HAGIWARA

出版者

The Institute of Electronics, Information and Communication Engineers

雑誌

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences (ISSN:09168508)

巻号頁・発行日

vol.E104-A, no.12, pp.1654-1664, 2021-12-01

被引用文献数

8

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This paper surveys development of quantum error correction. With the familiarity with conventional coding theory and tensor product in multi-linear algebra, this paper can be read in a self-contained manner.

著者

Masakazu YOSHIDA Manabu HAGIWARA Takayuki MIYADERA Hideki IMAI

出版者

The Institute of Electronics, Information and Communication Engineers

雑誌

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences (ISSN:09168508)

巻号頁・発行日

vol.E95-A, no.9, pp.1561-1569, 2012-09-01

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Entangled states play crucial roles in quantum information theory and its applied technologies. In various protocols such as quantum teleportation and quantum key distribution, a good entangled state shared by a pair of distant players is indispensable. In this paper, we numerically examine entanglement sharing protocols using quantum LDPC CSS codes. The sum-product decoding method enables us to detect uncorrectable errors, and thus, two protocols, Detection and Resending (DR) protocol and Non-Detection (ND) protocol are considered. In DR protocol, the players abort the protocol and repeat it if they detect the uncorrectable errors, whereas in ND protocol they do not abort the protocol. We show that DR protocol yields smaller error rate than ND protocol. In addition, it is shown that rather high reliability can be achieved by DR protocol with quantum LDPC CSS codes.