[1] 渡邉　昇，量子系のエントロピーと光通信，数理科学，No.294，(1987)，47-52.

[2] 渡邉　昇，「相互エントロピー」，「チャネル」，「量子通信理論」，数理情報科学事典，朝倉書店，(1995)，555-558, 621-624, 1076-1079.

[3] 渡邉　昇・須鎗弘樹，光通信過程のエントロピー解析,「量子情報と進化の力学」(大矢，小嶋 編集)の第III部第６章, 牧野書店，1996．

[4] 渡邉　昇，チャネル理論とその量子コンピュータへの応用，数理科学，No.402, 44-51, 1996.

[5]  大矢雅則・渡邉　昇，量子通信理論の基礎，牧野書店，1998．

[6]  C.P.ウィリアムズ，S.H.クリアｵータ（著），西野哲朗，荒井　隆，渡邉　昇（訳）："量子コンピューティング－量子コンピュータの実現に向けて－"，シュプリンガー・フェアラーク東京株式会社，2000．

[7] 大矢雅則，渡邉　昇，量子暗号と量子テレポーテーション - 新たな情報通信プロトコル-，共立出版，2006．

[8] 渡邉　昇，　量子エントロピー，大矢雅則（編著）「量子情報を巡る数理と哲理」－エントロピー・ゆらぎ・ミクロとマクロ・ アルゴリズム・生命情報－，国際高等研究所  Academic Publication， pp 41-65， 2008

[9] Open Systems, Entanglement and Quantum Optics, Edited by Andrzej Jamiolkowski, Chaper: Quantum Communication Processes and Their Complexity, Intech Book, pp.65-92, 2013

[10] Noboru Watanabe, Note on entropy-type complexity of communication processes", "WHITE NOISE ANALYSIS AND QUANTUM INFORMATION", Edited by L.Accardi, Louis H.Y.Chen, T.Hida, M.Ohya, Si Si, N.Watanabe, Lecture Notes Series, Institute for Mathematical Sciences, National University

of Singapore, World Scientific Publishing Co. Pte. Ltd. Vol.34, 2017

[11] Noboru Watanabe, On Complexity for Open System Dynamics, Quantum Foundations, Probabilityand Information, Edited by Andrei Khrennikov, pp.61 - pp.88, Springer International Publishing AG, 2018.

(2) 主要論文

[1] Dynamical entropy through quantum Markov chain (with L. Accardi and M. Ohya), Open Systems and Information Dynamics, Vol.4, No.1, (1997), 71-87.

[2]On capacities of quantum channels (with M. Ohya and D. Petz), Probability and Mathematical Statistics, Vol.17, (1997), 179-196.

[3] On mathematical treatment of Fredkin - Toffoli - Milburn gate (with M. Ohya), Physica D, Vol.120, (1998), 206-213.

[4] Numerical computation of quantum capacity (with M. Ohya and D. Petz), International Journal of Theoretical Physics, Vol. 37, No.1, (1998),  507-510.

[5]Quantum dynamical entropy for completely positive map (with A. Kossakowski and M. Ohya), Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol.2, No.2, (1999), 267-282.

[6] Some aspects of complexities for quantum processes, Open Systems and Information Dynamics, Vol. 16, pp 293-304, 2009　

[7] Quantum Entropy and Its Applications to Quantum Communication and Statistical Physics (with M. Ohya)，Entropy, 2010, 12(5), 1194-1245，

[8] Note on Entropies of Quantum Dynamical Systems, Foundation of Physics, 2011, 41, 549-563 DOI 10, 1007/s10701-010-9455-x

[9]An Entropy Based Treatment of Gaussian Communication Process for General Quantum Systems , Open Systems and Information Dynamcs,  Vol. 20, No. 03, pp. 1340009-1～10, 2013

[10] Noboru Watanabe, Entropy type complexity of quantum processes,  Physica Scripta, Vol.2014, No.T163, dol:10.1088/0031-8949/2014/T163/014026, pp.1-6, 2014

[11] Noboru Watanabe, Quantum transmission processes and their entropies, Russian Journal of Mathematical Physics, Vol. 21, No. 3, pp.1-10, 2014

[12] Noboru Watanabe, 2016, Note on entropies for quantum dynamical systems, Philosophical Transactions Royal Society A 374: pp.20150240-1-pp.20150240-13, DOI: http://dx.doi.org/10.1098/rsta.2015.0240.

[13] Noboru Watanabe, 2016, On quantum dynamical entropy for open systems, International Journal of Quantum Information, 14, Issue 04, pp.1640005-1-pp.1640005-11 , June 2016, DOI: http://dx.doi.org/10.1142/S0219749916400050.

[14] Noboru Watanabe and Masahiro Muto, 2017, Note on transmitted complexity for quantum dynamical systems, Philosophical Transactions Royal Society A 375: pp. 20160396-1-pp. 20160396-16, DOI: http://dx.doi.org/10.1098/rsta.2016.0396.

[15] Farrukh Mukhamedov and Noboru Watanabe, On S-mixing entropy of quantum channels, Quantum Inf. Process (2018) 17:148, https://doi.org/10.1007/s11128-018-1916-8

国際会議・招待講演等

2015-2016年，QBIC workshops ２回　
東京理科大学

2017年　　　 38th International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics，東京理科大学