Kochen-Specker Theorem as a Precondition for Quantum Computing

We study the relation between the Kochen-Specker theorem (the KS theorem) and quantum computing. The KS theorem rules out a realistic theory of the KS type. We consider the realistic theory of the KS type that the results of measurements are either +1 or ?1. We discuss an inconsistency between the realistic theory of the KS type and the controllability of quantum computing. We have to give up the controllability if we accept the realistic theory of the KS type. We discuss an inconsistency between the realistic theory of the KS type and the observability of quantum computing. We discuss the inconsistency by using the double-slit experiment as the most basic experiment in quantum mechanics. This experiment can be for an easy detector to a Pauli observable. We cannot accept the realistic theory of the KS type to simulate the double-slit experiment in a significant specific case. The realistic theory of the KS type can not depicture quantum detector. In short, we have to give up both the observability and the controllability if we accept the realistic theory of the KS type. Therefore, the KS theorem is a precondition for quantum computing, i.e., the realistic theory of the KS type should be ruled out.     

Synthesis of procyanidins by stepwise- and self-condensation using 3,4-cis-4-acetoxy-3-O-acetyl-4-dehydro-5,7,3′,4′-tetra-O-benzyl-(+)-catechin and (−)-epicatechin as a key building monomer

3,4-cis-4-Acetoxy-3-O-acetyl-4-dehydro-5,7,3′,4′-tetra-O-benzyl-(+)-catechin (1a) or (−)-epicatechin (1b) reacted high regio- and stereo-selectively with 1.5 equiv of the 5,7,3′,4′-tetra-O-benzyloxyflavan-3-ol (4a or 4b) in the presence of 1 equiv of TMSOTf to give the corresponding procyanidins. On the other hand, the self-condensation of 1a in the presence of a catalytic amount of B(C₆F₅)₃ afforded wide-range procyanidins from dimer to 15-mer like a biomass.     

An improved chemo-enzymatic synthesis of 1-beta-O-acyl glucuronides: highly chemoselective enzymatic removal of protecting groups from corresponding methyl acetyl derivatives

An improved and widely applicable chemo-enzymatic method for the synthesis of a series of 1-beta-O-acyl glucuronides 5a-f has been developed from the corresponding methyl acetyl derivatives 3a-f, which were stereospecifically synthesized from cesium salts of carboxylic acids 1a-f and methyl 2,3,4-tri-O-acetyl-1-bromo-1-deoxy-alpha-D-glucopyranuronate (2). Chemoselectivity of lipase AS Amano (LAS) in the hydrolytic removal of O-acetyl groups of 3a-f to provide methyl esters 4a-f was influenced by the nature of their 1-beta-O-acyl groups; high selectivity was evident only for 3b and 3f. Carboxylesterase from Streptomyces rochei (CSR), newly screened as an alternative to LAS, showed much greater chemoselectivity toward the O-acetyl groups than LAS; 3a, 3d, and 3e were chemoselectively hydrolyzed only by CSR. The combination of CSR with LAS yielded better results in the hydrolysis of 3c and 3f than did single usage of CSR. Final deprotection of the methyl ester groups of 4a-f to provide 5a-f was chemoselectively achieved by using lipase from Candida antarctica type B (CAL-B) as well as esterase from porcine liver (PLE), although CAL-B possessed higher chemoselectivity and catalytic efficiency than did PLE. CSR also exhibited high chemoselectivity in the synthesis of (S)-naproxen 1-beta-O-acyl glucopyranoside (7) from its 2,3,4,6-tetra-O-acetyl derivative 6.     

Measurements of the line strengths,N2− and O2-broadened half-widths in the ν3, ν1+2ν2 and 2ν1 bands of 14N2 16O at room temperature

The line strengths, N₂? and O₂-broadened half-widths in the ν₃, ν₁+2ν₂ and 2ν₁ bands of ¹⁴N₂ ¹⁶O were determined from spectra obtained by a high-resolution Fourier transform spectrometer at room temperature. The squared vibrational transition dipole moments and the coefficients of the Herman–Wallis factor were also determined for these bands. The squared vibrational transition dipole moments for these bands agreed with the values of HITRAN and high-resolution experiments within 6%. The N₂? and O₂-broadened half-widths were in agreement with the results of recent high-resolution experiments. The air-broadened half-widths were calculated using the smoothed N₂? and O₂-broadened half-widths and compared with the compiled values in the HITRAN database.     

Transport phenomena in superionic solids: Master equation approach

A first-principles derivation of the master equation is systematically given based on Kikuchi's ansatz, which is then applied to non-interacting (ideal) and interacting lattice–gas systems. The former application to an anomalous diffusion, observed by MD simulation of β-AgI, makes its mechanism clear in terms of relaxation modes such that the anomalous diffusion is due to non-diffusive (collective) modes. It is also shown in random systems that anomalous frequency-dependent conductivities, made up of Jonscher and nearly constant loss regimes, are reduced to a single master curve. The case of interacting lattice–gas system is discussed on the ab-plane of Rb₃H(SeO₄)₂ by a pair approximation of the path probability method, where a spontaneous strain involved in the ferroelastic phase turns out to be a proton-trapped state originated in an attractive strain energy mediated by a proton–displacement interaction, and the transition to superprotonic phase is due to an off-trapping of protons. This mechanism is confirmed by no phase transition without the attractive strain energy.     

Swertisin dihydrate

The title compound, 6‐C‐gluco­pyran­osyl‐7‐O‐methyl­apigenin dihydrate, C₂₂H₂₂O₁₀·2H₂O, is a natural C‐glu­cosyl­flavone. The flavone skeleton is almost planar, the dihedral angle between the pyran moiety and the 4‐hydroxy­phenyl ring being 9.8 (3)°. The basal plane of the pyran­osyl ring of the glucose moiety is almost perpendicular to the benzo­pyran ring system. The flavone skeletons are stacked along the a axis, forming layers parallel to (001). Between these hydro­phobic layers, the glucose groups and water mol­ecules of crystallization are connected via O—H⋯O hydrogen bonds, forming hydro­philic layers.     

Can von Neumann’s Theory Meet the Deutsch-Jozsa Algorithm?

The theoretical formalism of the implementation of the Deutsch-Jozsa algorithm relies on von Neumann’s theory. We try to investigate whether von Neumann’s theory meet our physical world. We derive a proposition concerning a quantum expectation value under the assumption of the existence of the orientation of reference frames in N spin-1/2 systems (1≤N<+∞). This assumption intuitively depictures our physical world. However, the quantum predictions within the formalism of von Neumann’s projective measurement violate the proposition with a magnitude that grows exponentially with the number of particles. Therefore, von Neumann’s theory cannot depicture our physical world with a violation factor that grows exponentially with the number of particles. Hence, von Neumann’s theory cannot meet the Deutsch-Jozsa algorithm. We propose the solution of the problem. Our solution is equivalent to changing Planck’s constant (?) to new constant (\(\hbar/\sqrt{2}\)). It may be that a new type of the quantum theory early approaches Newton’s theory in the macroscopic scale than the old quantum theory does so.     

Nickel-catalyzed N-arylation of amines with arylboronic acids under open air

In this study, a well-defined, novel NHC-Ni complex was developed and used to catalyze the N-arylation of alkyl- and arylamines with arylboronic acids in a rare version of Chan-Lam coupling. Although the same coupling using copper catalysts has been widely studied, the nickel-catalyzed version is rare and normally requires 10–20?mol% catalyst loading. This novel NHC-Ni complex in combination with 4,4′-dimethyl-2,2′-bipyridine, however, proved to be an effective catalyst that lowered the required catalyst loading to only 2.0?mol%.     

Quantum Cryptography,Quantum Communication,and Quantum Computer in a Noisy Environment

First, we study several information theories based on quantum computing in a desirable noiseless situation. (1) We present quantum key distribution based on Deutsch’s algorithm using an entangled state. (2) We discuss the fact that the Bernstein-Vazirani algorithm can be used for quantum communication including an error correction. Finally, we discuss the main result. We study the Bernstein-Vazirani algorithm in a noisy environment. The original algorithm determines a noiseless function. Here we consider the case that the function has an environmental noise. We introduce a noise term into the function f(x). So we have another noisy function g(x). The relation between them is g(x) = f(x) ± O(??). Here O(??) ? 1 is the noise term. The goal is to determine the noisy function g(x) with a success probability. The algorithm overcomes classical counterpart by a factor of N in a noisy environment.