Violation of Entropic Leggett-Garg Inequality in Nuclear Spins

We report an experimental study of recently formulated entropic Leggett-Garg inequality (ELGI) by Usha Devi et al. (arXiv: 1208.4491v2 (2012)). This inequality places a bound on the statistical measurement outcomes of dynamical observables describing a macrorealistic system. Such a bound is not necessarily obeyed by quantum systems, and therefore provides an important way to distinguish quantumness from classical behavior. Here we study ELGI using a two-qubit nuclear magnetic resonance system. To perform the noninvasive measurements required for the ELGI study, we prepare the system qubit in a maximally mixed state as well as use the `ideal negative result measurement' procedure with the help of an ancilla qubit. The experimental results show a clear violation of ELGI by over four standard deviations. These results agree with the predictions of quantum theory. The violation of ELGI is attributed to the fact that certain joint probabilities are not legitimate in the quantum scenario, in the sense they do not reproduce all the marginal probabilities. Using a three-qubit system, we experimentally demonstrate that three-time joint probabilities do not reproduce certain two-time marginal probabilities.Comment: 5 pages, 5 figures, 1 page supplementar

Status of AIDS patients in Rewa district

lkjka'k                 ,M~l vkt ds ;qx dh uohure ,oa lokZf/kd [krjukd chekjh gSA ;g ,d Nqih egkekjh gS ftldk irk dqN o"kksZa igys yxk gSA vkt fLFkfr ;g gS fd bl jksx xzflr O;fDr vf/kd le; rd thfor ugha jg ldrkA ;g ,d laØked jksx gSA orZeku le; esa vkWadM+s ;g Li"V dj jgs gSa fd Hkfo"; esa tu&thou ds fy, ,d ?kkrd leL;k cu tk;sxhA bl jksx ls vkfFkZd ,oa lkekftd lajpuk izHkkfor gks jgh gSA            NACP (National AIDS Control Programme)  }kjk ,M~l fu;a=.k gsrq vusd vuqla/kku] izpkj&izlkj] ubZ igys vkfn xfrfof/k;kWa dh tk jgh gSA            ,M~l dks [kRe djus ds fy;s dbZ vuqla/kku ,oa laLFkku [kksys x, gSa ftlds ek/;e ls nokbZ;ksa ,oa lqj{kk midj.kksa dh [kkst dh tk jgh gSA            NIMSà National               Institute of Medical Statistics Hq fnYyh            CADRàCentre for Advanced Development ResearchàHkksiky            National AIDS Research Instituteà iq.ks tSls laLFkku AIDS foHkkx ds fy;s dk;Zjr~ gSaA            bl 'kks/k esa ,M~l dks [kRe djus o blds dkj.k ls mRiUu ifj.kkeksa dks tkuus gsrq iz;kl fd;k x;k gSA bl 'kks/k ds ek/;e ls uohu vkWadM+s bdB~Bs fd;s x;s gSaA eq[; 'kCn :-                 laØked jksx] izfrj{kd&ra=] vax&izR;ax] egkekjh] izpkj&izlkjÂ&nbsp

FIXED POINT THEOREM IN DISLOCATED QUASI METRIC SPACES

In the present paper we established some fixed point results in dislocated quasi metric spaces for random operator. Our results are generalized forms of various known results. Key words: Fixed point, common fixed point, Dislocated Metric spaces AMS classicification: 47 H1

Inversion of moments to retrieve joint probabilities in quantum sequential measurements

A sequence of moments encode the corresponding probability distribution. Probing if quantum joint probability distribution can be retrieved from the associated set of moments -- realized in the sequential measurement of a dichotomic observable at different time intervals -- reveals a negative answer i.e., the joint probabilities of sequential measurements do not agree with the ones obtained by inverting the moments. This is indeed a reflection of the non-existence of a bonafide grand joint probability distribution, consistent with all the physical marginal probability distributions. Here we explicitly demonstrate that given the set of moments, it is not possible to retrieve the three-time quantum joint probability distribution resulting from quantum sequential measurement of a single qubit dichotomic observable at three different times. Experimental results using a nuclear magnetic resonance (NMR) system are reported here to corroborate these theoretical observations viz., the incompatibility of the three-time joint probabilties with those extracted from the moment sequence.Comment: 7 pages, 5 figures, RevTe