38 citations · 76 across the 16 of their papers we have counts for
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Linear simultaneous measurements of position and momentum with minimum error-trade-off in each minimum uncertainty state
Kazuya Okamura
So-called quantum limits and their achievement are important themes in physics. Heisenberg's uncertainty relations are the most famous of them but are not universally valid and vio…
Linear position measurements with minimum error-disturbance in each minimum uncertainty state
Kazuya Okamura
In quantum theory, measuring process is an important physical process; it is a quantum description of the interaction between the system of interest and the measuring device. Error…
Universally valid uncertainty relations in general quantum systems
Kazuya Okamura, Masanao Ozawa
We study universally valid uncertainty relations in general quantum systems described by general -finite von Neumann algebras to foster developing quantitative analysis in quant…
Derivation of Born Rule from Algebraic and Statistical Axioms
Izumi Ojima, Kazuya Okamura, Hayato Saigo
In the present paper we propose a new axiomatic system of algebraic and statistical axioms as working hypotheses, from which Born rule can be seen to emerge. In this process the co…
The Quantum Relative Entropy as a Rate Function and Information Criteria
Kazuya Okamura
We prove that the quantum relative entropy is a rate function in large deviation principle. Next, we define information criteria for quantum states and estimate the accuracy of the…
Large Deviation Strategy for Inverse Problem
Izumi Ojima, Kazuya Okamura
Taken traditionally as a no-go theorem against the theorization of inductive processes, Duhem-Quine thesis may interfere with the essence of statistical inference. This difficulty…