分野別主要論文
理論物理学
- M. Ozawa, Measurement breaking the standard quantum limit for free-mass position, Phys. Rev. Lett. 60 (1988), 385-388.
- M. Ozawa, Quantum-mechanical models of position measurements, Phys. Rev. A 41, 1735-1737 (R) (1990).
- M. Ozawa, Does a conservation law limit position measurements? Phys. Rev. Lett. 67 (1991), 1956--1959.
- H.P. Yuen and M. Ozawa, Ultimate information carrying limit of quantum systems, Phys. Rev. Lett. 70 (1993), 363-366.
- M. Ozawa, Quantum non-demolition monitoring of universal quantum computers, Phys. Rev. Lett. 80 (1998), 631-634.
- M. Ozawa, Measurements of nondegenerate discrete observables, Phys. Rev. A 62, 062101(1-13) (2000).
- M. Ozawa, Operations, disturbance, and simultaneous measurability, Phys. Rev. A 63, 032109 (1-15) (2001),
- M. Ozawa, Conservation laws, uncertainty relations, and quantum limits of measurements. Phys. Rev. Lett. 88 (2002), 050402 (1-4).
- M. Ozawa, Conservative quantum computing, Phys. Rev. Lett. 89 (2002), 057902 (1-4).
- M. Ozawa, Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement, Phys. Rev. A 67 (2003), 042105 (1-6).
- M. Hotta and M. Ozawa, Quantum estimation by local observables, Phys. Rev. A 70, 022327 (1-13) (2004).
- M. Hotta, T. Karasawa, and M. Ozawa, Ancilla-assisted enhancement of channel estimation for low-noise parameters, Phys. Rev. A 72, 052334 (1-11) (2005).
- Y. Kawano and M. Ozawa, Quantum gates generated by rotationally invariant operators in a decoherence-free subsystem, Phys. Rev. A 73, 012339 (1-8) (2006).
- G. Kimura, H. Tanaka, and M. Ozawa, Solution to the mean King's problem with mutually unbiased bases for arbitrary levels, Phys. Rev. A 73, 050301(R) (1-4) (2006).
- J. Gea-Banacloche and M. Ozawa, Minimum-energy pulses for quantum logic cannot be shared, Phys. Rev. A 74, 060301(R) (1-4) (2006).
- T. Karasawa, and M. Ozawa, Conservation-law-induced quantum limits for physical realizations of the quantum NOT gate, Phys. Rev. A 75, 032324 (1-16) (2007).
- G. Kimura, B.K. Meister, and M. Ozawa, Quantum limits of measurements induced by multiplicative conservation laws: Extension of the Wigner-Araki-Yanase Theorem, Phys. Rev. A 78, 032106 (1-7) (2008).
- J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin-measurements,
Nat. Phys. 8, 185-189 (2012).
- S-Y. Baek, F. Kaneda, M. Ozawa, and K. Edamatsu, Experimental violation and reformulation of the Heisenberg error-disturbance uncertainty relation,
Sci. Rep. 3, 2221 (1-5) (2013).
- G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, Violation of Heisenberg's error-disturbance uncertainty relation in neutron spin measurements,
Phys. Rev. A 88, 022110 (2013).
- F. Kaneda, S.-Y. Baek, M. Ozawa, and K. Edamatsu,
Experimental test of error-disturbance uncertainty relations by weak measurement,
Phys. Rev. Lett. 112, 020402 (2014).
- F. Buscemi, M.J.W. Hall, M. Ozawa, and M.M. Wilde, Noise and disturbance in quantum measurements: An Information-theoretic approach,
Phys. Rev. Lett. 112, 050401 (2014).
- G. Sulyok, S. Sponar, B. Demirel, F. Buscemi, M.J.W. Hall, M. Ozawa, and Y. Hasegawa, Experimental test of entropic noise-disturbance uncertainty relations for spin-1/2 measurements,
Phys. Rev. Lett. 115, 030401 (1-5) (2015).
- M. Ozawa, Heisenberg's original derivation of the uncertainty principle and its universally valid reformulations,
Curr. Sci. 109, 2006-2016 (2015).
- B. Demirel, S. Sponar, G. Sulyok, M. Ozawa, and Y. Hasegawa, Experimental test of residual error-disturbance uncertainty relations for mixed spin-1/2 states,
Phys. Rev. Lett. 117, 140402 (1-5) (2016).
- M. Ozawa, Soundness and completeness of quantum root-mean-square errors,
npj Quantum Inf. 5, 1 (1-8) (2019).
数理物理学
- M. Ozawa, Optimal measurements for general quantum systems, Rep. Math. Phys. 18, 11-28 (1980).
- M. Ozawa, Quantum measuring processes of continuous observables, J. Math. Phys. 25 (1984), 79-87.
- M. Ozawa, Conditional probability and a posteriori states in quantum mechanics, Publ. RIMS, Kyoto Univ. 21, 279-295 (1985).
- M. Ozawa, Continuous affine functions on the space of Markov kernels, Teorija Verojatnostei i ee Primenenija 30, 486-498 (1985); Theory Prob. Appl. 30, 516-528 (1985).
- M. Ozawa, Concepts of conditional expectations in quantum theory, J. Math. Phys. 26, 1948-1955 (1985).
- M. Ozawa, On information gain by quantum measurements of continuous observables, J. Math. Phys. 27, 759-763 (1986).
- M. Ozawa, Canonical approximate quantum measurements, J. Math. Phys. 34, 5596-5624 (1993).
- I. Ojima and M. Ozawa, Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics, Open Sys. & Information Dyn. 2, 107-128 (1993).
- M. Ozawa, Phase operator problem and macroscopic extension of quantum mechanics, Ann. Phys. (N.Y.) 257 (1997), 65-83.
- M. Ozawa, An operational approach to quantum state reduction, Ann. Phys. (N.Y.) 259 (1997), 121-137.
- H. Yamashita and M. Ozawa, Nonstandard representations of the canonical commutation relations, Rev. Math. Phys. 12 (2000), 1407-1427.
- M. Ozawa, Uncertainty principle for quantum instruments and computing, Int. J. Quant. Inf. 1, 569--588 (2003).
- M. Ozawa, Uncertainty relations for noise and disturbance in generalized quantum measurements, Ann. Phys. (N.Y.) 311, 350-416 (2004).
- M. Ozawa, Quantum perfect correlations, Ann. Phys. (N.Y.) 321, 744-769 (2006).
- M. Ozawa, Mathematical foundations of quantum information: Measurement and foundations,
Sugaku Expositions 27, 195-221 (2014).
- K. Okamura and M. Ozawa,
Measurement theory in local quantum physics,
J. Math. Phys. 57, 015209 (1-29) (2016).
- M. Ozawa and A. Khrennikov,
Application of theory of quantum instruments to psychology: Combination of question order effect with response replicability effect,
Entropy 2020, 22, 37 (2020).
数学基礎論・関数解析学
- M. Ozawa, Boolean valued interpretation of Hilbert space theory, J. Math. Soc. Japan 35, 609-627 (1983).
- M. Ozawa, Boolean valued analysis and type I AW*-algebras, Proc. Japan Acad. 59A (1983), 368-371.
- M. Ozawa, A classification of type I AW*-algebras and Boolean valued analysis, J. Math. Soc. Japan 36 (1984), 589-608.
- M. Ozawa, Nonuniqueness of the cardinality attached to homogeneous AW*-algebras, Proc. Amer. Math. Soc. 93, 681-684 (1985).
- M. Ozawa, A transfer principle from von Neumann algebras to AW*-algebras, J. London Math. Soc. (2) 32, 141-148 (1985).
- M. Ozawa, Boolean valued analysis approach to the trace problem of AW*-algebras, J. London Math. Soc. (2) 33, 347-354 (1986).
- M. Ozawa and K. Saito, Embeddable AW*-algebras and regular completions, J. London Math. Soc. (2) 34, 511-523 (1986).
- T. Hinokuma and M. Ozawa, Conversion from nonstandard matrix algebras to standard factors of type II1, Ill. J. Math. 37, 1-13 (1993).
- M. Ozawa, Forcing in nonstandard analysis, Ann. Pure Appl. Logic 68 (1994), 263-297.
- M. Ozawa, Scott incomplete Boolean ultrapowers of the real line, J. Symb. Log. 60, 160-171 (1995).
- M. Ozawa, Transfer principle in quantum set theory,
J. Symb. Log. 72, 625-648 (2007).
- M. Ozawa,
Quantum set theory extending the standard probabilistic interpretation of quantum theory,
New Generat. Comput. 34, 125-152 (2016).
- M. Ozawa,
Orthomodular-valued models for quantum set theory,
Rev. Symb. Log. 10, 782-807 (2017).
- A. Doering, B. Eva, M. Ozawa,
A bridge between Q-worlds,
Rev. Symb. Log., 1-40 (2020).
理論計算機科学
- M. Ozawa and H. Nishimura, Local transition functions of quantum Turing machines, Theoret. Informatics and Appl. 34, 379-402 (2000).
- H. Nishimura and M. Ozawa, Computational complexity of uniform quantum circuit families and quantum Turing machines, Theor. Comput. Sci. 276, 147-181 (2002).
- M. Ozawa, Halting of quantum Turing machines, Lecture Notes in Computer Science 2509, 58-65 (2002).
- H. Nishimura and M. Ozawa, Uniformity of quantum circuit families for error-free algorithms, Theor. Comput. Sci. 332, 487- 496 (2005).
- H. Nishimura and M. Ozawa, Perfect computational equivalence between quantum Turing machines and finitely generated uniform quantum circuit families, Quantum Inf. Process. 8, 12-24 (2009).
科学哲学
- M. Ozawa and T. Waragai, Set theory and Lesniewski's ontology, Ann. Japan Assoc. Phil. Sci. 6, 261-272 (1985).
- M. Ozawa, Statistical inference and quantum measurement, Ann. Japan Assoc. Phil. Sci. 7, 185-194 (1989).
- M. Ozawa, Quantum state reduction and the repeatability hypothesis, Ann. Japan Assoc. Phil. Sci. 11, 107-121 (2003).
- M. Ozawa, Quantum reality and measurement: A quantum logical approach,
Found. Phys. 41, 592-607 (2011).
- M. Ozawa and Y. Kitajima,
Reconstructing Bohr's reply to EPR in algebraic quantum theory,
Found. Phys. 42, 475-487 (2012).