Quasi multipartite entanglement measure based on quadratic functions

We develop a new entanglement measure by extending Jaeger's Minkowskian norm entanglement measure. This measure can be applied to a much wider class of multipartite mixed states, although still "quasi" in the sense that it is still incapable of dividing precisely the sets of all separable and entangled states. As a quadratic scalar function of the system density matrix, the quasi measure can be easily expressed in terms of the so-called coherence vector of the system density matrix, by which we show the basic properties of the quasi measure including (1) zero-entanglement for all separable states, (2) invariance under local unitary operations, and (3) non-increasing under local POVM (positive operator-valued measure) measurements. These results open up perspectives in further studies of dynamical problems in open systems, especially the dynamic evolution of entanglement, and the entanglement preservation against the environment-induced decoherence effects.Comment: 10pages,1 figur

Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index CL is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of CL with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of CL is then utilized to develop a new hypothesis testing procedure in the condition of known L

Multi-Way FPGA Partitioning by F ully Exploiting Design Hierarchy

Abstract In this paper, we present a new integrated synthesis and partitioning method for multiple-FPGA applications. This method rst synthesizes a design speci cation in a ne-grained way so that functional clusters can be preserved b ased on the structural nature of the design speci cation. Then, it applies a hierarchical set-covering partitioning method to form the nal FPGA partitions. Our approach bridges the gap between HDL synthesis and physical partitioning by fully exploiting the design hierarchy. Experimental results on a number of benchmarks and industrial designs demonstrate that I O limits are the bottleneck for CLB utilization when applying a traditional multiple-FPGA synthesis method on attened netlists. In contrast, by fully exploiting the design structural hierarchy during the multiple-FPGA partitioning, our proposed method p r o duces fewer FPGA partitions with higher CLB and lower I O-pin utilizations