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Article type: Cover
2012 Volume 119 Issue 4A Pages
Cover1-
Published: February 20, 2012
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Article type: Appendix
2012 Volume 119 Issue 4A Pages
App1-
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Article type: Appendix
2012 Volume 119 Issue 4A Pages
D1-D4
Published: February 20, 2012
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[in Japanese], [in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D5-D17
Published: February 20, 2012
Released on J-STAGE: October 02, 2017
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TAKASHI MATSUOKA, D. Chruscinski, Y. Hirota, A. Kossakowski, M. Ohya
Article type: Article
2012 Volume 119 Issue 4A Pages
D18-D31
Published: February 20, 2012
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We study a quantum correalations from the information theoritical points of view. A quantum mutual entropy is discueeed in relation to a transmitted infromation. This report is the review of our recent works on the quantum infromation theory with entanglement.
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[in Japanese], [in Japanese], Sang Wook Kim
Article type: Article
2012 Volume 119 Issue 4A Pages
D32-D38
Published: February 20, 2012
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Andrzej Jamiolkowski
Article type: Article
2012 Volume 119 Issue 4A Pages
D39-D47
Published: February 20, 2012
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The main purpose of this paper is to discuss some effective methods of study of certain characterizations of quantum operations and quantum channels. In particular, an effective method of checking if a given quantum operation is irreducible or not is presented. Our methods are based on analyzing an explicit form of a fixed quantum operation in its Kraus representation. Some examples based on theory of open quantum systems are discussed.
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Shinichi KOTANI
Article type: Article
2012 Volume 119 Issue 4A Pages
D48-D75
Published: February 20, 2012
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Mohammad Ali Fasihi, [in Japanese], [in Japanese], [in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D76-D86
Published: February 20, 2012
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Taksu Cheon
Article type: Article
2012 Volume 119 Issue 4A Pages
D87-D93
Published: February 20, 2012
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S. Iriyama, M. Ohya
Article type: Article
2012 Volume 119 Issue 4A Pages
D94-D101
Published: February 20, 2012
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We have studied a computational complexity of quantum algorithm for several years. A mathematical model of quantum algorithm, which is called a generalized quantum Turing machine(GQTM), is introduced by Ohya et al., and we discussed the relation-ships of language classes denned by it. In this paper, we construct a quantum algorithm for the Pebble Game problem, which belongs to the class EXPTIME(i.e., it requires an exponential size of resources to solve), and discuss the computational complexity of it.
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Yutaka Shikano, Hosho Katsura
Article type: Article
2012 Volume 119 Issue 4A Pages
D102-D105
Published: February 20, 2012
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We study a class of discrete time quantum walks with inhomogeneous coins denned in [Y. Shikano and H. Katsura, Phys. Rev. E 83, 031122 (2010)]. We also discuss the localization or delocalization of the discrete time quantum walk by the eigenvalue spectrum.
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[in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D106-D112
Published: February 20, 2012
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[in Japanese], [in Japanese], [in Japanese], [in Japanese], [in Japane ...
Article type: Article
2012 Volume 119 Issue 4A Pages
D113-D122
Published: February 20, 2012
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Toshimitsu TAKAESU
Article type: Article
2012 Volume 119 Issue 4A Pages
D123-D126
Published: February 20, 2012
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[in Japanese], [in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D127-D135
Published: February 20, 2012
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[in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D136-D144
Published: February 20, 2012
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Masuo Suzuki
Article type: Article
2012 Volume 119 Issue 4A Pages
D145-D157
Published: February 20, 2012
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[in Japanese], [in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D158-D170
Published: February 20, 2012
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Dariusz Chruscinski, Andrzej Kossakowski
Article type: Article
2012 Volume 119 Issue 4A Pages
D171-D179
Published: February 20, 2012
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We analyze a local approach to the non-Markovian evolution of open quantum systems. It turns out that any dynamical map representing evolution of such a system may be described either by non-local master equation with memory kernel or equivalently by equation which is local in time. Local approach turns out to be more suitable for practical problems which is illustrated by several examples.
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Izumi Ojima, Hayato Saigo
Article type: Article
2012 Volume 119 Issue 4A Pages
D180-D188
Published: February 20, 2012
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While the notion of the position of photons is indispensable in the quantum optical situations, it has been known in mathematical physics that any position operator cannot be denned for a massless free particle with a non-zero finite spin. This dilemma is resolved by introducing the "effective mass" of a photon due to the interaction with matter. The validity of this interpretation is confirmed in reference to the picture of "polariton", a basic notion in optical and solid physics.
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Akio Hosoya
Article type: Article
2012 Volume 119 Issue 4A Pages
D189-D191
Published: February 20, 2012
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We present an elegant geometric picture of the weak values in the framework of the Hilbert-Schmidt bundle over the state space.
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Tomi Ohtsuki, Koji Kobayashi, Keith Slevin
Article type: Article
2012 Volume 119 Issue 4A Pages
D192-D201
Published: February 20, 2012
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The Anderson transition is a disorder driven quantum phase transition between metallic and insulating phases. In contrast to the common belief that two dimensional (2D) systems are always insulating and that the Anderson transition does not occur in 2D, in certain universality classes 2D systems can be metallic. We review the recent development of the theory of the Anderson transition in 2D. There are ten universality classes: three Wigner-Dyson classes, three chiral universality classes, and four Bogoliubov-de Gennes classes. We report results for critical exponents and distributions of conductance for the symplectic universality class. We emphasize that, on the one hand, the existence of a topological insulating phase does not alter the value of the critical exponent, while on the other, it strongly affects the form of the conductance distribution at the transition.
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[in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D202-D209
Published: February 20, 2012
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[in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D210-D228
Published: February 20, 2012
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Takeyuki Hida, Si Si
Article type: Article
2012 Volume 119 Issue 4A Pages
D229-D234
Published: February 20, 2012
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First we explain the idea of using noise to discuss the analysis of random functions, and we explain the role of a noise. We then come to introducing a new noise depending on the space parameter and discuss its application.
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[in Japanese], [in Japanese], [in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D235-D241
Published: February 20, 2012
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[in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D242-D252
Published: February 20, 2012
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[in Japanese], [in Japanese], [in Japanese], [in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D253-D259
Published: February 20, 2012
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[in Japanese], [in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D260-D272
Published: February 20, 2012
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Ondrej Turek, Pavel Exner, Taksu Cheon
Article type: Article
2012 Volume 119 Issue 4A Pages
D273-D282
Published: February 20, 2012
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We propose a parametrization of the family of all physically admissible couplings in quantum graph vertices. With the help of this result we solve the longstanding open problem of approximating by regular graphs all singular vertex couplings in quantum graph vertices. The approximating graph is constructed as follows. We begin with a star graph with n arms and a general coupling in the vertex - the approximated system. Then we consider a system of n half lines whose endpoints are connected by lines of a length d such that there are δ couplings and δ interactions placed in the endpoints of the half lines and in the centers of the connecting lines; at the same time, the connecting lines are supposed to support vector potentials - the approximating system. It turns out that the approximated system can be considered as a limit of the family of approximating systems as d → 0, where the convergence is in the norm-resolvent sense.
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[in Japanese], [in Japanese], [in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
D283-D293
Published: February 20, 2012
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[in Japanese]
Article type: Article
2012 Volume 119 Issue 4A Pages
137-145
Published: February 20, 2012
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Article type: Appendix
2012 Volume 119 Issue 4A Pages
App2-
Published: February 20, 2012
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Article type: Appendix
2012 Volume 119 Issue 4A Pages
App3-
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Article type: Appendix
2012 Volume 119 Issue 4A Pages
App4-
Published: February 20, 2012
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Article type: Cover
2012 Volume 119 Issue 4A Pages
Cover2-
Published: February 20, 2012
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Article type: Cover
2012 Volume 119 Issue 4A Pages
Cover3-
Published: February 20, 2012
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