Entanglement is perhaps the most important new feature of the quantum world. It is expressed in quantum theory by the joint measurement formula. We prove the formula for projection valued observables from a plausible assumption, which for spacelike separated measurements is a consequence of causality. State reduction is simply a way to express the joint measurement formula after one measurement...

Vedran Dunjko, 2, ∗ Jacob M. Taylor, 4, † and Hans J. Briegel ‡ Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria Division of Molecular Biology, Rud̄er Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia. Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg, MD 20899 USA Joint Center for Quantum Infor...

Zhe-Xuan Gong,1, 2 Michael Foss-Feig,3 Fernando G. S. L. Brandão,4 and Alexey V. Gorshkov1, 2 Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA United States Army Research Laboratory, Adelphi, MD 20783, USA IQIM, California Institute of ...

We present a joint-measurement uncertainty relation for a pair of mean square deviations of canonical variables averaged over Gaussian distributed quantum optical states. Our Bayesian formulation is free from the unbiasedness assumption, and enables us to quantify experimentally implemented joint-measurement devices by feeding a moderate set of coherent states. Our result also reproduces the mo...

The Fisher information of a quantum observable is shown to be proportional to both (i) the difference of a quantum and a classical variance, thus providing a measure of nonclassicality; and (ii) the rate of entropy increase under Gaussian diffusion, thus providing a measure of robustness. The joint nonclassicality of position and momentum observables is shown to be complementary to their joint ...

Vedran Dunjko,1, ∗ Yi-Kai Liu,2, † Xingyao Wu,2, ‡ and Jacob M. Taylor2, 3, 4, § Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany Joint Center for Quantum Information and Computer Science, University of Maryland, College Park, MD 20742 USA Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg, MD 20899 USA Research Center fo...

J. Stehlik, Y.-Y. Liu, C. Eichler, T. R. Hartke, X. Mi, M. J. Gullans, J. M. Taylor, and J. R. Petta Department of Physics, Princeton University, Princeton, New Jersey 08544, USA Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA and Joint Center for Quantum Information and Computer Science, University of Maryland, College Park, Maryland 2...

The paper estimates the Chernoff rate for the efficiency of quantum hypothesis testing. For both joint and separable measurements, approximate bounds for the rate are given if both states are mixed and exact expressions are derived if at least one of the states is pure. The efficiency of tests with separable measurements is found to be close to the efficiency of tests with joint measurements. T...

the ability of the present semiempirical quantum mechanics methods are surveyed for reproducing the transannular interaction in the bifunctional n-phenyl-5-azocanones. the am1 method is the best with the order of reliability being am1, pm3, mndo and mindo/3. am1 calculations were then carried out for quantification of transannular interaction. the n(o) ionization potential has been used for thi...

  Effects of quantum size and potential shape on the spectra of an electron and a hydrogenic-donor at the center of a permeable spherical cavity have been calculated, using linear variational method. B-splines have been used as basis functions. By extensive convergence tests and comparing with other results given in the literature, the validity and efficiency of the method were confirmed.