Universal state inversion and concurrence in arbitrary dimensions

Wootters [Phys. Rev. Lett. 80, 2245 (1998)] has given an explicit formula for the entanglement of formation of two qubits in terms of what he calls the concurrence of the joint density operator. Wootters's concurrence is defined with the help of the superoperator that flips the spin of a qubit. We generalize the spin-flip superoperator to a universal inverter, which acts on quantum systems of arbitrary dimension, and we introduce the corresponding generalized concurrence for joint pure states of D-1 X D-2 bipartite quantum systems. We call this generalized concurrence the I concurrence to emphasize its relation to the universal inverter. The universal inverter, which is a positive, but not completely positive superoperator, is closely related to the completely positive universal-NOT superoperator, the quantum analogue of a classical NOT gate. We present a physical realization of the universal-NOT Superoperator.

Vitamin B12 and hepatitis C: Molecular biology and human pathology

Cobalamins are stored in high concentrations in the human liver and thus are available to participate in the regulation of hepatotropic virus functions. We show that cyanocobalamin (vitamin B12) inhibited the H(IV internal ribosome entry site (IRES)-dependent translation of a reporter gene in vitro in a dose-dependent manner without significantly affecting the cap-dependent mechanism. Vitamin B12 failed to inhibit translation by IRES elements from encephalomyocarditis virus (EMCV) or classical swine fever virus (CSFV), We also demonstrate a relationship between the total cobalamin concentration in human sera and HCV viral load (a measure of viral replication in the host), The mean viral load was two orders of magnitude greater when the serum cobalamin concentration was above 200 pM (P < 0.003), suggesting that the total cobalamin concentration in an HCV-infected liver is biologically significant in HCV replication.

Theoretical Underpinnings of Community-based Sentences and Custody for Young Offenders in Hong Kong

Much has been written about youth crime, justice and corrections in Hong Kong in the past three decades, in particular, about the historical roots of the youth justice system, causes of juvenile delinquency, and the outcomes of different rehabilitative programmes for young offenders. However, little is known in theory, practice and policy about how community-based and custodial sentences can achieve the goals of rehabilitation and correction for young offenders. In this paper, the author analyses the purposes of penal measures with reference to the classical theories of punishment, rather than empirical data or statistics. The author argues that a community-based sentence, in many respects, performs as or more effectively than a custodial programme in achieving the various sentencing aims.