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pro vyhledávání: '"Matsumoto, Keiji"'
We define a hypergeometric series in $m$ variables with $p+(p-1)m$ parameters, which reduces to the generalized hypergeometric series $_pF_{p-1}$ when $m=1$, and to Lauricella's hypergeometric series $F_C$ in $m$ variables when $p=2$. We give a syste
Externí odkaz:
http://arxiv.org/abs/2404.00295
Autor:
Matsumoto, Keiji
By considering Schwarz's map for the hypergeometric differential equation with parameters $(a,b,c)=(1/6,1/2,1)$ or $(1/12,5/12,1)$, we give some analogies of Jacobi's formula $\vartheta_{00}(\tau)^2= F(1/2,1/2,1;\lambda(\tau))$, where $\vartheta_{00}
Externí odkaz:
http://arxiv.org/abs/2203.07617
Autor:
Chiba, Jun, Matsumoto, Keiji
We give an analogy of Jacobi's formula, which relates the hypergeometric function with parameters $(1/4,1/4,1)$ and theta constants. By using this analogy and twice formulas of theta constants, we obtain a transformation formula for this hypergeometr
Externí odkaz:
http://arxiv.org/abs/2202.11856
Autor:
Matsumoto, Keiji
This post is the author's doctoral dissertation back in 1997. The dissertation covers following four kinds of problems: First, it studies achievable Cramer-Rao type bounds of various multi-parameter pure state models. Second, it relates CR-bouds, bot
Externí odkaz:
http://arxiv.org/abs/2111.09667
Autor:
Shiraishi, Naoto, Matsumoto, Keiji
Publikováno v:
Nat. Comm. 12, 5084 (2021)
The investigation of thermalization in isolated quantum many-body systems has a long history, dating back to the time of developing statistical mechanics. Most quantum many-body systems in nature are considered to thermalize, while some never achieve
Externí odkaz:
http://arxiv.org/abs/2012.13889
Autor:
Miyazaki, Jisho, Matsumoto, Keiji
Publikováno v:
Quantum 6, 665 (2022)
Multiparameter quantum estimation is made difficult by the following three obstacles. First, incompatibility among different physical quantities poses a limit on the attainable precision. Second, the ultimate precision is not saturated until you disc
Externí odkaz:
http://arxiv.org/abs/2010.15465
We study Schwarz's map for Appell's second system $\cF_2$ of hypergeometric differential equations in two variables with parameters $a=c_1=c_2=\frac{1}{2}$, $b_1=b_2=\frac{1}{4}$. By using theta functions with characteristics, we give a defining equa
Externí odkaz:
http://arxiv.org/abs/1912.08399
Akademický článek
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Autor:
Matsumoto, Keiji
Consider a classical system, which is in the state described by probability distribution $p$ or $q$, and embed these classical informations into quantum system by a physical map $\Gamma$, $\rho=\Gamma(p)$ and $\sigma=\Gamma(q)$. Intuitively, the pair
Externí odkaz:
http://arxiv.org/abs/1907.10604
Autor:
Ruch, Patrick W., Hu, Rui, Capua, Luca, Temiz, Yuksel, Paredes, Stephan, Marin, Antonio Lopez, Carmona, Jorge Barroso, Cox, Aaron, Nakamura, Eiji, Matsumoto, Keiji
Electronic tongues based on potentiometry offer the prospect of rapid and continuous chemical fingerprinting for portable and remote systems. The present contribution presents a technology platform including a miniaturized electronic tongue based on
Externí odkaz:
http://arxiv.org/abs/1907.06641