The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Baru-baru ini, teori maklumat kuantum menarik banyak perhatian. Dalam teori maklumat kuantum, kewujudan superadditivity dalam kapasiti saluran kuantum telah diramalkan secara konvensional. Setakat ini, beberapa contoh kod yang menunjukkan superadditivity dalam kapasiti telah dijelaskan. Walau bagaimanapun pada peringkat sekarang, ciri-ciri superadditivity masih belum cukup jelas. Sebabnya adalah seperti berikut. Semua contoh ditunjukkan dengan mengira maklumat bersama dengan pengukuran gabungan kuantum, supaya seseorang itu perlu menyelesaikan masalah nilai eigen dan vektor eigen. Dalam makalah ini, kami membina algoritma penyederhanaan untuk mengira maklumat bersama dengan menggunakan ukuran punca kuasa dua sebagai proses penyahkodan pengukuran gabungan kuantum. Masalah nilai eigen dan vektor eigen dielakkan dalam algoritma dengan menggunakan kovarian kumpulan kod linear binari. Selain itu, kami memperoleh penyelesaian analitikal maklumat bersama untuk kod semakan pariti dengan sebarang panjang sebagai contoh menggunakan algoritma pemudahan.
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Salinan
Shogo USAMI, Tsuyoshi Sasaki USUDA, Ichi TAKUMI, Masayasu HATA, "A Simplification Algorithm for Calculation of the Mutual Information by Quantum Combined Measurement" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 10, pp. 2185-2190, October 1999, doi: .
Abstract: Recently, the quantum information theory attracts much attention. In quantum information theory, the existence of superadditivity in capacity of a quantum channel was foreseen conventionally. So far, some examples of codes which show the superadditivity in capacity have been clarified. However in present stage, characteristics of superadditivity are not still clear up enough. The reason is as follows. All examples were shown by calculating the mutual information by quantum combined measurement, so that one had to solve the eigenvalue and the eigenvector problems. In this paper, we construct a simplification algorithm to calculate the mutual information by using square-root measurement as decoding process of quantum combined measurement. The eigenvalue and the eigenvector problems are avoided in the algorithm by using group covariancy of binary linear codes. Moreover, we derive the analytical solution of the mutual information for parity check codes with any length as an example of applying the simplification algorithm.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_10_2185/_p
Salinan
@ARTICLE{e82-a_10_2185,
author={Shogo USAMI, Tsuyoshi Sasaki USUDA, Ichi TAKUMI, Masayasu HATA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Simplification Algorithm for Calculation of the Mutual Information by Quantum Combined Measurement},
year={1999},
volume={E82-A},
number={10},
pages={2185-2190},
abstract={Recently, the quantum information theory attracts much attention. In quantum information theory, the existence of superadditivity in capacity of a quantum channel was foreseen conventionally. So far, some examples of codes which show the superadditivity in capacity have been clarified. However in present stage, characteristics of superadditivity are not still clear up enough. The reason is as follows. All examples were shown by calculating the mutual information by quantum combined measurement, so that one had to solve the eigenvalue and the eigenvector problems. In this paper, we construct a simplification algorithm to calculate the mutual information by using square-root measurement as decoding process of quantum combined measurement. The eigenvalue and the eigenvector problems are avoided in the algorithm by using group covariancy of binary linear codes. Moreover, we derive the analytical solution of the mutual information for parity check codes with any length as an example of applying the simplification algorithm.},
keywords={},
doi={},
ISSN={},
month={October},}
Salinan
TY - JOUR
TI - A Simplification Algorithm for Calculation of the Mutual Information by Quantum Combined Measurement
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2185
EP - 2190
AU - Shogo USAMI
AU - Tsuyoshi Sasaki USUDA
AU - Ichi TAKUMI
AU - Masayasu HATA
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1999
AB - Recently, the quantum information theory attracts much attention. In quantum information theory, the existence of superadditivity in capacity of a quantum channel was foreseen conventionally. So far, some examples of codes which show the superadditivity in capacity have been clarified. However in present stage, characteristics of superadditivity are not still clear up enough. The reason is as follows. All examples were shown by calculating the mutual information by quantum combined measurement, so that one had to solve the eigenvalue and the eigenvector problems. In this paper, we construct a simplification algorithm to calculate the mutual information by using square-root measurement as decoding process of quantum combined measurement. The eigenvalue and the eigenvector problems are avoided in the algorithm by using group covariancy of binary linear codes. Moreover, we derive the analytical solution of the mutual information for parity check codes with any length as an example of applying the simplification algorithm.
ER -