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We generalize recent work on parametric resonances for nonlinear Schrödinger (NLS) type equations to the case of three dimensional Bose–Einstein condensates at zero temperatures. We show the poss...
Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold $X$ one may construct a polarized variation of Hodge structure over the complexified K\"ahler cone of ...
We give large deviation upper bounds, and discuss lower bounds, for the Gibbs-KMS state of a system of quantum spins or an interacting Fermi gas on the lattice. We cover general interactions and gener...
We develop a theory of perverse sheaves on the semi-infinite flag manifold G((t))/N((t)) · T[[t]], and show that the subcategory of Iwahori-monodromy perverse sheaves is equivalent to the regular bloc...
We prove a large deviation principle for the expectation of macroscopic observables in quantum (and classical) Gibbs states. Our proof is based on Ruelle-Lanford functions [20, 34] and direct subaddit...
We developed a new quantum annealing (QA) algorithm for Dirichlet process mixture (DPM) models based on the Chinese restaurant process (CRP). QA is a parallelized extension of simulated annealing (SA)...
Testing statistical hypotheses in quantum theory (in Russian)。
Capacities of quantum mechanical channels are defined in terms of mutual information quantities. Geometry of the relative entropy is used to express capacity as a divergence radius. The symmetric q...
In this paper we investigate a quantum stochastic calculus built of creation, annihilation and number of particles operators which fulfill some deformed commutation relations. Namely, we introduce ...
We give a constructive proof of the fact that any Marc kov state (even non-homogeneous) on &Iz M,, is diagonalizable. However, due to the focal entanglement effects, thky are not necessarily of Isi...
We introduce the concept of a mild solution for the right Hudson-Parthasarathy quantum stochastic differential equation, prove existence and uniqueness results, and show the correspondence between our...
In the framework of quantum optics, we study the problem of goodness-of-fit testing in a severely ill-posed inverse problem. A novel testing procedure is introduced and its rates of convergence are ...
Let A1, ..., AN be complex selfadjoint matrices and let  be a density matrix. The Robertson uncertainty principledet {Cov(Ah,Aj)} ≥ det−i2Tr([Ah,Aj ])ff gives a bound for the quantum...
Let A1, ...,AN be complex self-adjoint matrices and let  be a density matrix. The Robertson uncertainty principle det {Cov(Ah,Aj)} ≥ det−i2Tr([Ah,Aj ])ff gives a bound for the quantu...

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