Minimum guesswork discrimination between quantum states

© Rinton Press. Error probability is a popular and well-studied optimization criterion in discriminating non-orthogonal quantum states. It captures the threat from an adversary who can only query the actual state once. However, when the adversary is able to use a brute-force strategy to query the state, discrimination measurement with minimum error probability does not necessarily minimize the number of queries to get the actual state. In light of this, we take Massey’s guesswork as the underlying optimization criterion and study the problem of minimum guesswork discrimination. We show that this problem can be reduced to a semidefinite programming problem. Necessary and sufficient conditions when a measurement achieves minimum guesswork are presented. We also reveal the relation between minimum guesswork and minimum error probability. We show that the two criteria generally disagree with each other, except for the special case with two states. Both upper and lower information-theoretic bounds on minimum guesswork are given. For geometrically uniform quantum states, we provide sufficient conditions when a measurement achieves minimum guesswork. Moreover, we give the necessary and sufficient condition under which making no measurement at all would be the optimal strategy

Equilibrium states of the pressure function for products of matrices

Let $\{M_i\}_{i=1}^\ell$ be a non-trivial family of $d\times d$ complex matrices, in the sense that for any $n\in \N$, there exists $i_1... i_n\in \{1,..., \ell\}^n$ such that $M_{i_1}... M_{i_n}\neq {\bf 0}$. Let $P \colon (0,\infty)\to \R$ be the pressure function of $\{M_i\}_{i=1}^\ell$. We show that for each $q>0$, there are at most $d$ ergodic $q$-equilibrium states of $P$, and each of them satisfies certain Gibbs property.Comment: 12 pages. To appear in DCD

Service adaptation using fuzzy theory in context-aware mobile computing middleware

2005-2006 > Academic research: refereed > Refereed conference paperVersion of RecordPublishe

Understanding the spatial heterogeneity of COVID-19 vaccination uptake in England

BACKGROUND: Mass vaccination has been a key strategy in effectively containing global COVID-19 pandemic that posed unprecedented social and economic challenges to many countries. However, vaccination rates vary across space and socio-economic factors, and are likely to depend on the accessibility to vaccination services, which is under-researched in literature. This study aims to empirically identify the spatially heterogeneous relationship between COVID-19 vaccination rates and socio-economic factors in England. METHODS: We investigated the percentage of over-18 fully vaccinated people at the small-area level across England up to 18 November 2021. We used multiscale geographically weighted regression (MGWR) to model the spatially heterogeneous relationship between vaccination rates and socio-economic determinants, including ethnic, age, economic, and accessibility factors. RESULTS: This study indicates that the selected MGWR model can explain 83.2% of the total variance of vaccination rates. The variables exhibiting a positive association with vaccination rates in most areas include proportion of population over 40, car ownership, average household income, and spatial accessibility to vaccination. In contrast, population under 40, less deprived population, and black or mixed ethnicity are negatively associated with the vaccination rates. CONCLUSIONS: Our findings indicate the importance of improving the spatial accessibility to vaccinations in developing regions and among specific population groups in order to promote COVID-19 vaccination

Analysis of combining ability and heredity parameters of glucosinolates in Chinese kale

The study was carried out with six Chinese kale lines as materials. Complete diallel crossing was designed with 6 × 6 to calculate the combining ability and the main genetic parameters. The results are as follows: The GCA effect of P1, P2 and P5 was excellent. They were used as parants to get hybrids, the heterosis of anti-cancer glucosinolates of their hybrid was very high. By analyzing the SCA effects, 1 × 2 was an outstanding hybrid. The broad sense heritability of the main GSs were relatively higher, and the narrow sense heritability were lower, so the potential of heterosis was bigger.Keywords: Chinese kale, glucosinolate, combining ability, heritability, heterosi

Effect of a Zn impurity on T_c and its implication to pairing symmetry in LaFeAsO1−x_{1-x}Fx_x

The effect of non-magnetic Zn impurity on superconductivity in LaFe$_{1-y}$Zn$_y$AsO$_{1-x}$F$_x$ system is studied systematically. In the presence of Zn impurity, the superconducting transition temperature increases in the under-doped regime, remains unchanged in the optimally doped regime, and is severely suppressed in the over-doped regime. Our results suggest a switch of the symmetry of the superconducting order parameters from a $s$-wave to $s_{\pm}$ or $d$-wave states as the charge carrier doping increases in FeAs-based superconductors.Comment: 4 pages, 4 figures. Format changed and a few revisons mad

Anti-Stokes scattering and Stokes scattering of stimulated Brillouin scattering cascade in high-intensity laser-plasmas interaction

The anti-Stokes scattering and Stokes scattering in stimulated Brillouin scattering (SBS) cascade have been researched by the Vlasov-Maxwell simulation. In the high-intensity laser-plasmas interaction, the stimulated anti-Stokes Brillouin scattering (SABS) will occur after the second stage SBS rescattering. The mechanism of SABS has been put forward to explain this phenomenon. And the SABS will compete with the SBS rescattering to determine the total SBS reflectivity. Thus, the SBS rescattering including the SABS is an important saturation mechanism of SBS, and should be taken into account in the high-intensity laser-plasmas interaction.Comment: 6 pages, 5 figure

Interaction of avian infectious bronchitis virus S1 protein with heat shock protein 47

Infectious bronchitis (IB) caused by a coronavirus is an important disease in chickens; it mainly affects respiratory and kidney systems. The IBV-S1 protein is an important structural and functional protein. To identify the interaction between the IBV-S1 proteins and to elucidate the possible involvement of S1 protein in IBV pathogenesis, a chicken kidney cDNA library was screened using a yeast two-hybrid system assay. HSP47, a molecular chaperone protein facilitating the folding and assembly, was found to interact specifically with the S1 protein. The interaction between S1 and HSP47 was verified by colocalization experiment and co-immunoprecipitation of HeLa cell lysates expressing both proteins. The mapping studies localized the critical S1 sequences for this interaction to amino acids 340-470. Based on these results, we speculate that HSP47 is a functional target of infectious bronchitis virus S1 protein in cells. This is the first report demonstrating the interaction of HSP47 with a structural protein of plusstrand RNA viruses, indicating a new drug target for IBV.Key words: S1 protein, HSP47 protein, yeast two-hybrid, co-localization, co-immunoprecipitation, proteinprotein interaction