Moscow State Institute of Electronics and Mathematics

miem.edu.ru/
Moscow, Russia

Moscow Institute of Electronics and Mathematics , MIEM — Russian higher educational institution in the field of electronics. Founded in 1962 as Moscow Institute of Electronic Machine Building. In 2011 joined with National Research University Higher School of Economics.Official Russian name — Московский государственный институт электроники и математики , МИЭМ. Wikipedia.

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Loubenets E.R.,Moscow State Institute of Electronics and Mathematics
Journal of Mathematical Physics | Year: 2015

We prove the existence for each Hilbert space of the two new quasi hidden variable (qHV) models, statistically noncontextual and context-invariant, reproducing all the von Neumann joint probabilities via non-negative values of real-valued measures and all the quantum product expectations-via the qHV (classical-like) average of the product of the corresponding random variables. In a context-invariant model, a quantum observable X can be represented by a variety of random variables satisfying the functional condition required in quantum foundations but each of these random variables equivalently models X under all joint von Neumann measurements, regardless of their contexts. The proved existence of this model negates the general opinion that, in terms of random variables, the Hilbert space description of all the joint von Neumann measurements for dim H ≥ 3 can be reproduced only contextually. The existence of a statistically noncontextual qHV model, in particular, implies that every N-partite quantum state admits a local quasi hidden variable model introduced in Loubenets [J. Math. Phys. 53, 022201 (2012)]. The new results of the present paper point also to the generality of the quasi-classical probability model proposed in Loubenets [J. Phys. A: Math. Theor. 45, 185306 (2012)]. © 2015 AIP Publishing LLC.


Loubenets E.R.,Moscow State Institute of Electronics and Mathematics
Journal of Physics A: Mathematical and Theoretical | Year: 2011

We introduce a general condition sufficient for the validity of the original Bell inequality (1964) in a local hidden variable (LHV) frame. This condition can be checked experimentally and incorporates only as a particular case the assumption on perfect correlations or anticorrelations usually argued for this inequality in the literature. Specifying this general condition for a quantum bipartite case, we introduce the whole class of bipartite quantum states, separable and nonseparable, that (i) admit an LHV description under any bipartite measurements with two settings per site; (ii) do not necessarily exhibit perfect correlations and may even have a negative correlation function if the same quantum observable is measured at both sites, but (iii) satisfy the 'perfect correlation' version of the original Bell inequality for any three bounded quantum observables A1, A2 = B1, B 2 at sites 'A' and 'B', respectively. Analysing the validity of this general LHV condition under classical and quantum correlation scenarios with the same physical context, we stress that, unlike the Clauser-Horne-Shimony-Holt inequality, the original Bell inequality distinguishes between classicality and quantum separability. © 2011 IOP Publishing Ltd.


Schein L.B.,Independent Consultant | Tyutnev A.,Moscow State Institute of Electronics and Mathematics
Journal of Physical Chemistry C | Year: 2011

The correlated disorder model (CDM) has been proposed as a theory of charge transport in molecularly doped polymers (MDPs). Recently a test of the CDM was proposed: it was predicted that the dipolar disorder energy can be obtained from the slope of the log of the mobility versus square root of the electric field (the Poole-Frenkel or PF slope). We find that the dipolar disorder energy obtained from the experimental PF slopes are almost always larger than the theoretical predictions, especially for MDPs made from dopants with low dipole moments. In addition, the theory relates the dipolar disorder energy to the temperature T 0 at which the electric field dependence of the mobility vanishes. We find that the observed T 0 does appear to increase as the dipolar disorder increases but is in quantitative agreement (within 25 K) with the theoretical predictions for only a limited set of the measurements. We conclude that it appears that the CDM needs further development to be consistent with charge transport in organic materials. © 2011 American Chemical Society.


Zotov M.G.,Moscow State Institute of Electronics and Mathematics
Automation and Remote Control | Year: 2010

A robust stability test is formulated and the methodology of its use in the robust control system design is presented. The paper makes a contribution to the existing approaches to solution of this class of problems. © 2010 Pleiades Publishing, Ltd.


Loubenets E.R.,Moscow State Institute of Electronics and Mathematics
Foundations of Physics | Year: 2015

For the probabilistic description of all the joint von Neumann measurements on a D-dimensional quantum system, we present the specific example of a context-invariant quasi hidden variable (qHV) model, proved in Loubenets (J Math Phys 56:032201, 2015) to exist for each Hilbert space. In this model, a quantum observable X is represented by a variety of random variables satisfying the functional condition required in quantum foundations but, in contrast to a contextual model, each of these random variables equivalently models X under all joint von Neumann measurements, regardless of their contexts. This, in particular, implies the specific local qHV (LqHV) model for an N-qudit state and allows us to derive the new exact upper bound on the maximal violation of 2$$\times \cdots \times $$×⋯×2-setting Bell-type inequalities of any type (either on correlation functions or on joint probabilities) under N-partite joint von Neumann measurements on an N-qudit state. For d = 2, this new upper bound coincides with the maximal violation by an N-qubit state of the Mermin–Klyshko inequality. Based on our results, we discuss the conceptual and mathematical advantages of context-invariant and local qHV modelling. © 2015, Springer Science+Business Media New York.


Maslov V.P.,Moscow State Institute of Electronics and Mathematics
Russian Journal of Mathematical Physics | Year: 2013

In the first part of the paper, we introduce the concept of observable quantities associated with a macroinstrument measuring the density and temperature and with a microinstrument determining the radius of a molecule and its free path length, and also the relationship between these observable quantities. The concept of the number of degrees of freedom, which relates the observable quantities listed above, is generalized to the case of low temperatures. An analogy between the creation and annihilation operators for pairs (dimers) and the creation and annihilation operators for particles (molecules) is carried out. A generalization of the concept of a Bose condensate is introduced for classical molecules as an analog of an ideal liquid (without attraction). The negative pressure in the liquid is treated as holes (of exciton type) in the density of the Bose condensate. The phase transition gas-liquid is calculated for an ideal gas (without attraction). A comparison with experimental data is carried out. In the other part of the paper, we introduce the concept of new observable quantity, namely, of a pair (a dimer), as a result of attraction between nearest neighbors. We treat in a new way the concepts of Boyle temperature TB(as the temperature above which the dimers disappear) and of the critical temperature Tc(below which the trimers and clusters are formed). The equation for the Zeno line is interpreted as the relation describing the dependence of the temperature on the density at which the dimers disappear. We calculate the maximal density of the liquid and also the maximal density of the holes. The law of corresponding states is derived as a result of an observation by a macrodevice which cannot distinguish between molecules of distinct gases, and a comparison of theoretical and experimental data is carried out. © 2013 Pleiades Publishing, Ltd.


Magunov A.N.,Moscow State Institute of Electronics and Mathematics
Technical Physics | Year: 2010

The temperature of transparent gas flame (T ≈ 1900 K) is determined from the thermal radiation spectrum without using emittance data. The relation connecting the values of temperature calculated from the integrated spectrum of the entire glowing region of the flame with the maximal and arithmetic mean value is considered. Simulation is used to prove that the difference between the measured and maximal temperatures of a nonuniformly heated object in the Wien spectrum detection region does not exceed 10%. © 2010 Pleiades Publishing, Ltd.


Agranovich M.S.,Moscow State Institute of Electronics and Mathematics
Russian Journal of Mathematical Physics | Year: 2012

We present some remarks to the general theory of strongly elliptic second-order systems in bounded Lipschitz domains. The most important remarks are related to the use of the "Weyl decomposition" of the solution space. In particular, we suggest a simplified approach to the unique choice of the right-hand side of the system and the conormal derivative in the Neumann problem and obtain two-sided a priori estimates for the solutions. We consider the transmission problem for two systems in domains with a common Lipschitz boundary without the assumption that the coefficients do not have jumps on that boundary. We construct examples of strongly elliptic second-order systems for which the Neumann problem is not Fredholm. © 2012 Pleiades Publishing, Ltd.


Loubenets E.R.,Moscow State Institute of Electronics and Mathematics
Journal of Physics A: Mathematical and Theoretical | Year: 2012

We specify for a general correlation scenario a particular type of local quasi hidden variable (LqHV) model (Loubenets 2012 J. Math. Phys. 53 022201) - a deterministic LqHV model, where all joint probability distributions of a correlation scenario are simulated via a single measure space with a normalized bounded real-valued measure not being necessarily positive and random variables, each depending only on a setting of the corresponding measurement at the corresponding site. We prove that an arbitrary multipartite correlation scenario admits a deterministic LqHV model if and only if all its joint probability distributions satisfy the consistency condition, constituting the general nonsignaling condition formulated in Loubenets (2008 J. Phys. A: Math. Theor. 41 445303). This mathematical result specifies a new probability model that has a measure-theoretic structure resembling the structure of the classical probability model but incorporates the latter only as a particular case. The local version of this quasi-classical probability model covers the probabilistic description of each nonsignaling correlation scenario, in particular, each correlation scenario on a multipartite quantum state. © 2012 IOP Publishing Ltd.


Loubenets E.R.,Moscow State Institute of Electronics and Mathematics
Journal of Mathematical Physics | Year: 2012

We introduce for a general correlation scenario a new simulation model, alocal quasi hidden variable (LqHV) model, where locality and the measure-theoretic construction inherent to a local hidden variable (LHV) model are preserved but positivity of a simulation measure is dropped. We specify a necessary and sufficient condition for LqHV modelling and, based on this, prove that every quantum correlation scenario admits a LqHV simulation. Via the LqHV approach, we construct analogs of Bell-type inequalities for an N-partite quantum state and find a new analytical upper bound on the maximal violation by an N-partite quantum state of S 1 × ... × S N-setting Bell-type inequalities - either on correlation functions or on joint probabilities and for outcomes of an arbitrary spectral type, discrete or continuous. This general analytical upper bound is expressed in terms of the new state dilation characteristics introduced in the present paper and not only traces quantum states admitting an S 1 × ... × S N-setting LHV description but also leads to the new exact numerical upper estimates on the maximal Bell violations for concrete N-partite quantum states used in quantum information processing and for an arbitrary N-partite quantum state. We, in particular, prove that violation by an N-partite quantum state of an arbitrary Bell-type inequality (either on correlation functions or on joint probabilities) for S settings per site cannot exceed (2S - 1) N - 1 even in case of an infinite dimensional quantum state and infinitely many outcomes. © 2012 American Institute of Physics.

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