Families of pure PEPS with efficiently simulatable local hidden variable models for most measurements

An important problem in quantum information theory is to understand what makes entangled quantum systems non-local or hard to simulate efficiently. In this work we consider situations in which various parties have access to a restricted set of measurements on their particles, and construct entangled quantum states that are essentially classical for those measurements. In particular, given any set of local measurements on a large enough Hilbert space whose dual strictly contains (i.e. contains an open neighborhood of) a pure state, we use the PEPS formalism and ideas from generalized probabilistic theories to construct pure multiparty entangled states that have (a) local hidden variable models, and (b) can be efficiently simulated classically. We believe that the examples we construct cannot be efficiently classically simulated using previous techniques. Without the restriction on the measurements, the states that we construct are non-local, and in some proof-of-principle cases are universal for measurement based quantum computation.This work was supported by EPSRC grant EP/K022512/1.This work was supported by EPSRC grant EP/K022512/1

Exogenous Shocks and Exchange Rate Management in Developing Countries

Even though globalization benefits less developed countries (LDCs), it also makes them more vulnerable to the exogenous shocks to the economies. Many LDCs rely on imported technologies and intermediate inputs to compete in the international export markets with better quality and cost efficient products. In this regard, exchange rate policies in respective countries have a direct bearing on the cost of production. This paper examines alternative exchange rate regimes to suggest an appropriate exchange rate policy in the context of developing countries. The paper utilizes a small open economy model involving direct supply-side effects of exchange rate and expectations of key economic variables and considers four possible exchange rate policies, e.g., fixed exchange rate, perfectly flexible exchange rate, leaning against the wind, and leaning with the wind. Contrary to the conventional wisdom, the paper finds that in the event of a shock, leaning against the wind is likely to be the most appropriate exchange rate policy. Moreover, in the event of rigid wages, a fixed exchange rate policy is advisable.globalization, exchange rate regimes, exchange rate policy

On certain equations of arbitrary length over torsion-free groups

Let $G$ be a non-trivial torsion free group and $t$ be an unknown. In this paper we consider three equations (over $G$) of arbitrary length and show that they have a solution (over $G$) provided two relations among their coefficients hold. Such equations appear for all lengths greater than or equal to eight and the results presented in this article can substantially simplify their solution.Comment: arXiv admin note: substantial text overlap with arXiv:1903.0650

Photoelectrochemical Detection of Dengue-Related Oligonucleotide Sequence Using Anthocyanin as an Intercalating Agent and Electrochromic Material

World Health Organization (WHO) presupposes a confirmation of dengue virus infection diagnosis with two criteria, i.e. clinical and laboratory criteria. One of the basic methods used by most laboratories to diagnose dengue virus is to detect oligonucleotide sequence using a DNA amplification technique. In this research, the measurement of denguerelated oligonucleotide was conducted by photoelectrochemical method. The presence of oligonucleotide sequence in target DNA can be detected by DNA probe that is immobilized on TiO2 electrode. The DNA hybrid is then bound to electrochromic substance like anthocyanin that generates current when it is subjected to light. The photocurrent is directly proportional to the number of target DNA. The aim of this research is to obtain photoelectrochemical system that has sensitivity and high responsiveness toward the change in oligonucleotide concentration, especially the applicability of anthocyanin as a electrochromic substance and intercalating agent. Linearity (R2) generated from the change of current in response to concentration changes of target DNA (in the concentration range of 0.75–3.00 nM) is 0.9611. Thus, this method has the potential to be developed to detect the presence of dengue virus in biological sample

Crystal nucleation mechanism in melts of short polymer chains under quiescent conditions and under shear flow

We present a molecular dynamics simulation study of crystal nucleation from undercooled melts of n-alkanes, and we identify the molecular mechanism of homogeneous crystal nucleation under quiescent conditions and under shear flow. We compare results for n-eicosane(C20) and n-pentacontahectane(C150), i.e. one system below the entanglement length and one above. Under quiescent conditions, we observe that entanglement does not have an effect on the nucleation mechanism. For both chain lengths, the chains first align and then straighten locally. Then the local density increases and finally positional ordering sets in. At low shear rates the nucleation mechanism is the same as under quiescent conditions, while at high shear rates the chains align and straighten at the same time. We report on the effects of shear rate and temperature on the nucleation rates and estimate the critical shear rates, beyond which the nucleation rates increase with the shear rate. We show that the viscosity of the system is not affected by the crystalline nuclei.Comment: 9 page