A Numerical Evaluation of Entanglement Sharing Protocols Using Quantum LDPC CSS Codes

Masakazu YOSHIDA; Manabu HAGIWARA; Takayuki MIYADERA; Hideki IMAI

doi:10.1587/transfun.E95.A.1561

A Numerical Evaluation of Entanglement Sharing Protocols Using Quantum LDPC CSS Codes

Masakazu YOSHIDA, Manabu HAGIWARA, Takayuki MIYADERA, Hideki IMAI

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.9 pp.1561-1569

Publication Date: 2012/09/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.1561

Type of Manuscript: PAPER

Category: Information Theory

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Masakazu YOSHIDA, Manabu HAGIWARA, Takayuki MIYADERA, Hideki IMAI, "A Numerical Evaluation of Entanglement Sharing Protocols Using Quantum LDPC CSS Codes" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 9, pp. 1561-1569, September 2012, doi: 10.1587/transfun.E95.A.1561.
Abstract: 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.1561/_p

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@ARTICLE{e95-a_9_1561,
author={Masakazu YOSHIDA, Manabu HAGIWARA, Takayuki MIYADERA, Hideki IMAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Numerical Evaluation of Entanglement Sharing Protocols Using Quantum LDPC CSS Codes},
year={2012},
volume={E95-A},
number={9},
pages={1561-1569},
abstract={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.},
keywords={},
doi={10.1587/transfun.E95.A.1561},
ISSN={1745-1337},
month={September},}

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TY - JOUR
TI - A Numerical Evaluation of Entanglement Sharing Protocols Using Quantum LDPC CSS Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1561
EP - 1569
AU - Masakazu YOSHIDA
AU - Manabu HAGIWARA
AU - Takayuki MIYADERA
AU - Hideki IMAI
PY - 2012
DO - 10.1587/transfun.E95.A.1561
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2012
AB - 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.
ER -