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Search Results: 1 - 10 of 325403 matches for " S. Machnes "
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On the relation between Bell inequalities and nonlocal games
J. Silman,S. Machnes,N. Aharon
Physics , 2007, DOI: 10.1016/j.physleta.2008.03.001
Abstract: We investigate the relation between Bell inequalities and nonlocal games by presenting a systematic method for their bilateral conversion. In particular, we show that while to any nonlocal game there naturally corresponds a unique Bell inequality, the converse is not true. As an illustration of the method we present a number of nonlocal games that admit better odds when played using quantum resources
An Arrow of Time Operator for Standard Quantum Mechanics
Y. Strauss,J. Silman,S. Machnes,L. P. Horwitz
Physics , 2008,
Abstract: We introduce a self-adjoint operator that indicates the direction of time within the framework of standard quantum mechanics. That is, as a function of time its expectation value decreases monotonically for any initial state. This operator can be defined for any system governed by a Hamiltonian with a uniformly finitely degenerate, absolutely continuous and semibounded spectrum. We study some of the operator's properties and illustrate them for a large equivalence class of scattering problems. We also discuss some previous attempts to construct such an operator, and show that the no-go theorems developed in this context are not applicable to our construction.
Continuous input nonlocal games
N. Aharon,S. Machnes,B. Reznik,J. Silman,L. Vaidman
Physics , 2007, DOI: 10.1007/s11047-012-9354-5
Abstract: We present a family of nonlocal games in which the inputs the players receive are continuous. We study three representative members of the family. For the first two a team sharing quantum correlations (entanglement) has an advantage over any team restricted to classical correlations. We conjecture that this is true for the third member of the family as well.
Study of a self-adjoint operator indicating the direction of time within standard quantum mechanics
Y. Strauss,J. Silman,S. Machnes,L. P. Horwitz
Physics , 2011, DOI: 10.1016/j.crma.2011.09.007
Abstract: In [J. Math. Phys. 51 (2010) 022104] a self-adjoint operator was introduced that has the property that it indicates the direction of time within the framework of standard quantum mechanics, in the sense that as a function of time its expectation value decreases monotonically for any initial state. In this paper we study some of this operator's properties. In particular, we derive its spectrum and generalized eigenstates, and treat the example of the free particle.
Transition Decomposition of Quantum Mechanical Evolution
Y. Strauss,J. Silman,S. Machnes,L. P. Horwitz
Mathematics , 2011, DOI: 10.1007/s10773-011-0689-y
Abstract: We show that the existence of the family of self-adjoint Lyapunov operators introduced in [J. Math. Phys. 51, 022104 (2010)] allows for the decomposition of the state of a quantum mechanical system into two parts: A past time asymptote, which is asymptotic to the state of the system at t goes to minus infinity and vanishes at t goes to plus infinity, and a future time asymptote, which is asymptotic to the state of the system at t goes to plus infinity and vanishes at t goes to minus infinity. We demonstrate the usefulness of this decomposition for the description of resonance phenomena by considering the resonance scattering of a particle off a square barrier potential. We show that the past time asymptote captures the behavior of the resonance. In particular, it exhibits the expected exponential decay law and spatial probability distribution.
QLib - A Matlab Package for Quantum Information Theory Calculations with Applications
Shai Machnes
Physics , 2007,
Abstract: Developing intuition about quantum information theory problems is difficult, as is verifying or ruling-out of hypothesis. We present a Matlab package intended to provide the QIT community with a new and powerful tool-set for quantum information theory calculations. The package covers most of the "QI textbook" and includes novel parametrization of quantum objects and a robust optimization mechanism. New ways of re-examining well-known results is demonstrated. QLib is designed to be further developed and enhanced by the community and is available for download at www.qlib.info
The EPR experiment in the energy-based stochastic reduction framework
J. Silman,S. Machnes,S. Shnider,L. P. Horwitz,A. Belenkiy
Mathematics , 2007, DOI: 10.1088/1751-8113/41/25/255303
Abstract: We consider the EPR experiment in the energy-based stochastic reduction framework. A gedanken set up is constructed to model the interaction of the particles with the measurement devices. The evolution of particles' density matrix is analytically derived. We compute the dependence of the disentanglement rate on the parameters of the model, and study the dependence of the outcome probabilities on the noise trajectories. Finally, we argue that these trajectories can be regarded as non-local hidden variables.
Superfast Cooling
S. Machnes,M. B. Plenio,B. Reznik,A. M. Steane,A. Retzker
Physics , 2010, DOI: 10.1103/PhysRevLett.104.183001
Abstract: Currently laser cooling schemes are fundamentally based on the weak coupling regime. This requirement sets the trap frequency as an upper bound to the cooling rate. In this work we present a numerical study that shows the feasibility of cooling in the strong coupling regime which then allows cooling rates that are faster than the trap frequency with state of the art experimental parameters. The scheme we present can work for trapped atoms or ions as well as mechanical oscillators. It can also cool medium size ions chains close to the ground state.
Education and Medicine as Health Producers Education and Medicine as Health Producers
Yaffa Machnes Reif
Revista de Análisis Económico (RAE) , 1989,
Abstract: Education and Medicine as Health Producers We give a description of the production function of health in a county and survey the empirical studies that describe similar relationships. Our estimations are based on updated reports of life expectacy, GNP, literacy rate, physicians and hospital beds per capita. We also followed changes in the last seven years. We find the literacy rate to be statistically significant in prolonging life while the contribution of doctors and wealth is significant mainly in the less developed countries. The change along time is small but points to an increase in the production elasticity of medicine.
Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
S. Machnes,U. Sander,S. J. Glaser,P. de Fouquieres,A. Gruslys,S. Schirmer,T. Schulte-Herbrueggen
Mathematics , 2010, DOI: 10.1103/PhysRevA.84.022305
Abstract: For paving the way to novel applications in quantum simulation, computation, and technology, increasingly large quantum systems have to be steered with high precision. It is a typical task amenable to numerical optimal control to turn the time course of pulses, i.e. piecewise constant control amplitudes, iteratively into an optimised shape. Here, we present the first comparative study of optimal control algorithms for a wide range of finite-dimensional applications. We focus on the most commonly used algorithms: GRAPE methods which update all controls concurrently, and KROTOV-type methods which do so sequentially. Guidelines for their use are given and open research questions are pointed out. --- Moreover we introduce a novel unifying algorithmic framework, DYNAMO (dynamic optimisation platform) designed to provide the quantum-technology community with a convenient MATLAB-based toolset for optimal control. In addition, it gives researchers in optimal-control techniques a framework for benchmarking and comparing new proposed algorithms to the state-of-the-art. It allows for a mix-and-match approach with various types of gradients, update and step-size methods as well as subspace choices. Open-source code including examples is made available at http://qlib.info.
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