Extremal asymmetric universal cloning machines

The trade-offs among various output fidelities of asymmetric universal cloning machines are investigated. First we find out all the attainable optimal output fidelities for the 1 to 3 asymmetric universal cloning machine and it turns out that there are two kinds of extremal asymmetric cloning machines which have to cooperate in order to achieve some of the optimal output fidelities. Second we construct a family of extremal cloning machines that includes the universal symmetric cloning machine as well as an asymmetric 1 to $1+N$ cloning machine for qudits with two different output fidelities such that the optimal trade-off between the measurement disturbance and state estimation is attained in the limit of infinite $N$.Comment: 4 pages 2 figure

Development and validation of the social emotional competence questionnaire (SECQ)

Reliable and valid measures of children’s and adolescents’ social emotional competence (SEC) are necessary to develop in order to assess their social emotional development and provide appropriate intervention in child and adolescent development. A pool of 25 items was created for the Social Emotional Competence Questionnaire (SECQ) that represented five dimensions of SEC: self-awareness, social awareness, self-management, relationship management and responsible decision-making. A series of four studies are reported relating to the development and validation of the measure. Confirmatory factor analyses of the responses of 444 fourth-graders showed an acceptable fit of the model. The model was replicated with another 356 secondary school students. Additional studies revealed good internal consistency. The significant correlations among the five SEC components and academic performance provided evidence for the predictive validity of the instrument. With multiple samples, these results showed that the scale holds promise as a reliable, valid measure of SECpeer-reviewe