Strong Converse and Stein's Lemma in the Quantum Hypothesis Testing

The hypothesis testing problem of two quantum states is treated. We show a new inequality between the error of the first kind and the second kind, which complements the result of Hiai and Petz to establish the quantum version of Stein's lemma. The inequality is also used to show a bound on the first kind error when the power exponent for the second kind error exceeds the quantum relative entropy, and the bound yields the strong converse in the quantum hypothesis testing. Finally, we discuss the relation between the bound and the power exponent derived by Han and Kobayashi in the classical hypothesis testing.Comment: LaTeX, 12 pages, submitted to IEEE Trans. Inform. Theor

Strong Converse to the Quantum Channel Coding Theorem

A lower bound on the probability of decoding error of quantum communication channel is presented. The strong converse to the quantum channel coding theorem is shown immediately from the lower bound. It is the same as Arimoto's method exept for the difficulty due to non-commutativity.Comment: LaTeX, 11 pages, submitted to IEEE Trans. Inform. Theor

Relativistic Chiral Mean Field Model for Finite Nuclei

We present a relativistic chiral mean field (RCMF) model, which is a method for the proper treatment of pion-exchange interaction in the nuclear many-body problem. There the dominant term of the pionic correlation is expressed in two-particle two-hole (2p-2h) states with particle-holes having pionic quantum number, J^{pi}. The charge-and-parity-projected relativistic mean field (CPPRMF) model developed so far treats surface properties of pionic correlation in 2p-2h states with J^{pi} = 0^{-} (spherical ansatz). We extend the CPPRMF model by taking 2p-2h states with higher spin quantum numbers, J^{pi} = 1^{+}, 2^{-}, 3^{+}, ... to describe the full strength of the pionic correlation in the intermediate range (r > 0.5 fm). We apply the RCMF model to the ^{4}He nucleus as a pilot calculation for the study of medium and heavy nuclei. We study the behavior of energy convergence with the pionic quantum number, J^{pi}, and find convergence around J^{pi}_{max} = 6^{-}. We include further the effect of the short-range repulsion in terms of the unitary correlation operator method (UCOM) for the central part of the pion-exchange interaction. The energy contribution of about 50% of the net two-body interaction comes from the tensor part and 20% comes from the spin-spin central part of the pion-exchange interaction.Comment: 22 pages, 12 figure

Perturbations of Spacetime around a Stationary Rotating Cosmic String

We consider the metric perturbations around a stationary rotating Nambu-Goto string in Minkowski spacetime. By solving the linearized Einstein equations, we study the effects of azimuthal frame-dragging around the rotation axis and linear frame-dragging along the rotation axis, the Newtonian logarithmic potential, and the angular deficit around the string as the potential mode. We also investigate gravitational waves propagating off the string and propagating along the string, and show that the stationary rotating string emits gravitational waves toward the directions specified by discrete angles from the rotation axis. Waveforms, polarizations, and amplitudes which depend on the direction are shown explicitly.Comment: 30 pages, 6 figures; Minor corrections, references added, published version in Physical Review

Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours

We present details of a lattice study of infrared behaviour in SU(3) gauge theory with twelve massless fermions in the fundamental representation. Using the step-scaling method, we compute the coupling constant in this theory over a large range of scale. The renormalisation scheme in this work is defined by the ratio of Polyakov loops in the directions with different boundary conditions. We closely examine systematic effects, and find that they are dominated by errors arising from the continuum extrapolation. Our investigation suggests that SU(3) gauge theory with twelve flavours contains an infrared fixed point.Comment: 29 pages, 15 figures, 4 tables. Minor revision. Published versio

Experimental Studies on Adversive Movement

Adversive movement was first reported in 1870 by Fritsch and Hitzig when they said that when gyrus Sylvii was stimulated electrically the eyes moved to the opposite side of the stimulation. Vogt and Foerster made a detailed report on adversive movement, which is a rotary motion of the head, trunk and both eyes. But in their report, they did not make it clear what tracts the stimulation took. Mitsueda, who iS under Hayashi, defined the cortical area of the eye balls and the eye lids. He reported that they were of the extrapyramidal kind. Russel reported that when the cerebellum was stimulated the eye balls moved to the side of the stimulation, but did not say anything about adveraive movements which concerned the movement of the head and the trunk. Therefore, to ascertain the center of adversive movement and its tract the following experiments were performed. For stimulation electrical ones and chemical ones using metrazol (cardiazol) were used. As Ishizuka, who is under Hayashi, has proved excitement is only seen when cardiazol is injected among the nerve cells at a certain concentration, and it is not seen when injected among the nerve fibres.</p