小澤　正直　OZAWA Masanao

プロフィール

職名	特任教授
所属	AI数理データサイエンスセンター 創発学術院
最終学歴	東京工業大学大学院理工学研究科情報科学専攻博士課程修了
学位	理学博士（東京工業大学）
所属学会・役職	科学基礎論学会（理事: 2005-2017、評議員: 1999-） 日本数学会（評議員: 2004-2006）
専門分野	量子情報科学、量子基礎論、数理論理学、数理物理学、認知科学
研究テーマ	量子測定理論、量子集合論、量子計算理論、量子認知モデル
共同研究キーワード	量子測定、量子集合論、認知科学

著書および訳書

Reality and measurement in algebraic quantum theory: NWW 2015, Nagoya, Japan, March 9-13 (Springer, Singapore, 2018). (共編)

量子と情報: 量子の実在と不確定性原理, (青土社, 2018).

学術論文、評論

Reforming Takeuti's Quantum Set Theory to Satisfy de Morgan's Laws, Advances in Mathematical Logic, T. Arai et al. (eds.), Springer Proceedings in Mathematics & Statistics 369, 143-159 (Dec. 2021).

Neutron optical test of completeness of quantum root-mean-square errors, npj Quantum Information 7, 106/1-6 (Jun., 2021).

A Bridge Between Q-Worlds, The Review of Symbolic Logic 14(2), 447 - 486 (Jun., 2021).

Quantum Set Theory: Transfer Principle and De Morgan's Laws, Annals of Pure and Applied Logic 172(4), 102938/1-42 (Apr., 2021).

Quantum-like modeling in biology with open quantum systems and instruments, Biosystems 201, 104328/1-11 (Mar., 2021).

Violation of Heisenberg's Error-Disturbance Relation by Stern-Gerlach Measurements, EPL (Europhysics Letters) 133(3), 30001/1-6 (Feb., 2021).

From Boolean Valued Analysis to Quantum Set Theory: Mathematical Worldview of Gaisi Takeuti, Mathematics 9(4), 397/1-10 (Feb., 2021).

Modeling combination of question order effect, response replicability effect, and QQ-equality with quantum instruments, Journal of Mathematical Psychology 100, 102491/1-16 (Feb., 2021).

Error-disturbance relation in Stern-Gerlach measurements, Physical Review A 102(4), 042226/1--17 (Oct., 2020).

Application of theory of quantum instruments to psychology: combination of question order effect with response replicability effect, Entropy 22(1), 37/1-14 (Jan., 2020).

Soundness and completeness of quantum root-mean-square errors, npj Quantum Information 5, 1/1-8 (Jan., 2019).

Orthomodular-Valued Models for Quantum Set Theory, The Review of Symbolic Logic 10(4), 782-807 (Dec., 2017).

Operational meanings of orders of observables defined through quantum set theories with different conditionals, Electronic Proceedings in Theoretical Computer Science (EPTCS) 236, 127-144 (Jan., 2017).

Experimental Test of Residual Error-Disturbance Uncertainty Relations for Mixed Spin-1/2 States, Physical Review Letters 117(4), 140402/1-5 (Sep., 2016).

Quantum Set Theory Extending the Standard Probabilistic Interpretation of Quantum Theory, New Generation Computing 34(1), 125-152 (Mar., 2016).

Measurement Theory in Local Quantum Physics, Journal of Mathematical Physics 57(1), 015209/1-29 (Jan., 2016).

Heisenberg's Original Derivation of the Uncertainty Principle and its Universally Valid Reformulations, Current Science 109(11)., 2006-2016 (Dec., 2015).

Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Spin-1/2 Measurements, Physical Review Letters 115(3), 030401/1-5 (Jul., 2015).

Mathematical foundations of quantum information: Measurement and foundations, Sugaku Expositions 27, 195-221 (Dec., 2014).

Quantum Set Theory Extending the Standard Probabilistic Interpretation of Quantum Theory (Extended Abstract), Electronic Proceedings in Theoretical Computer Science (EPTCS) 172, 15-26 (Dec., 2014).

Universal optimal quantum correlator, International Journal of Quantum Information 12, 1560002/1-4 (Nov., 2014).

Tight bounds on accessible information and informational power, Journal of Physics A: Mathematical and Theoretical 47(23), 235302 (May., 2014).

Heisenberg's uncertainty relation: Violation and reformulation, Journal of Physics: Conference Series 504, 012024/1-12 (Apr., 2014).

Noise and disturbance in quantum measurements: An Information-theoretic approach, Physical Review Letters 112, 050401 (Feb., 2014)).

Experimental violation and reformulation of Noise and disturbance in quantum measurements: An information theoretic approach, Physical Review Letters 112, 050401 (Feb., 2014).

Experimental test of error-disturbance uncertainty relations by weak measurement, Physical Review Letters 112, 020402 (Jan., 2014).

Violation of Heisenberg's error-disturbance uncertainty relation in neutron spin measurements, Physical Review A 88, 022110 (Aug., 2013).

Experimental violation and reformulation of the Heisenberg's error-disturbance uncertainty relation, Scientific Reports 3, 2221 (Jul., 2013).

Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin-measurements, Nature Physics 8, 185 (Mar., 2012).

Reconstructing Bohr's Reply to EPR in Algebraic Quantum Theory, Foundations of Physics 42(4), 475-487 (Feb., 2012).

受賞

紫綬褒章 (2015年11月)

中日文化賞 (2013年5月)

藤原洋数理科学賞大賞 (2012年9月)

International Quantum Communication Award (2010年7月)

文部科学大臣表彰科学技術賞 (2010年4月)

日本数学会賞秋季賞 (2008年9月)