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20112025
most citedEPR states and Bell correlated states in algebraic quantum field theory

6 citations · 21 across the 10 of their papers we have counts for

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10 papers

quant-ph2025

Bell Meets General Philosophers of Science : Reassessing Measurement Independence

Yuichiro Kitajima

Bell's inequality is derived from three assumptions: measurement independence, outcome independence, and parameter independence. Among these, measurement independence, often taken…

quant-ph2024★ 1 cited

States Violating Both Locality and Noncontextuality Inequalities in Quantum Theory

Yuichiro Kitajima

The CHSH inequality is an inequality used to test locality in quantum theory and is recognized as one of Bell's inequalities. In contrast, the KCBS inequality is employed to test n…

quant-ph2021★ 1 cited

Negations and Meets in Topos Quantum Theory

Yuichiro Kitajima

The daseinisation is a mapping from an orthomodular lattice in ordinary quantum theory into a Heyting algebra in topos quantum theory. While distributivity does not always hold in…

quant-ph2017★ 4 cited

A State-Dependent Noncontextuality Inequality in Algebraic Quantum Theory

Yuichiro Kitajima

The noncontextuality condition states that a value of any observable is independent of which other compatible observable is measured jointly with it. Klyachko, Can, Binicio{ğ}lu, a…

quant-ph2017

Reichenbachian common cause systems of size 3 in general probability theories

Yuichiro Kitajima

Reichenbach defined a common cause which explains a correlation between two events if either one does not cause the other. Its intuitive idea is that the statistical ensemble can b…

quant-ph2017

Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory

Yuichiro Kitajima

Einstein introduced the locality principle which states that all physical effect in some finite space-time region does not influence its space-like separated finite region. Recentl…

quant-ph2015

Characterizing common cause closedness of quantum probability theories

Yuichiro Kitajima, Miklos Redei

We prove new results on common cause closedness of quantum probability spaces, where by a quantum probability space is meant the projection lattice of a non-commutative von Neumann…

quant-ph2014★ 4 cited

Imperfect cloning operations in algebraic quantum theory

Yuichiro Kitajima

No-cloning theorem says that there is no unitary operation that makes perfect clones of non-orthogonal quantum states. The objective of the present paper is to examine whether an i…

quant-ph2013★ 6 cited

EPR states and Bell correlated states in algebraic quantum field theory

Yuichiro Kitajima

A mathematical rigorous definition of EPR states has been introduced by Arens and Varadarajan for finite dimensional systems, and extended by Werner to general systems. In the pres…

quant-ph2011★ 5 cited

Reconstructing Bohr's Reply to EPR in Algebraic Quantum Theory

Masanao Ozawa, Yuichiro Kitajima

Halvorson and Clifton have given a mathematical reconstruction of Bohr's reply to Einstein, Podolsky and Rosen (EPR), and argued that this reply is dictated by the two requirements…