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Parametric Quantum Resonances for Bose–Einstein Condensates
Parameter resonance nonlinear schrodinger equation condensate resonance three-dimensional moment method the numerical simulation
2014/12/29
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...
Asymptotic Hodge theory and quantum products
Convergence properties the dollar polarization hodge structure quantum potential
2014/12/29
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 ...
Large deviations in quantum lattice systems: One-phase region
Gibbs - KMS quantum spin systems Fermi gases
2014/12/29
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...
Modules over the small quantum group and semi-infinite flag manifold
Abnormal manifold bundle of semi-infinite flag subclass sheaf quantum
2014/12/25
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...
Ruelle-Lanford functions for quantum spin systems
Macro expectations and quantum gibbs a classic case of cluster expansion assignment operator quantum unified quantum
2014/12/24
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...
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Texas A&M physicist says stronger benchmarks needed to fully quantify quantum speedup(图)
quantum speedup D-Wave
2014/3/18
Texas A&M University physicist Helmut G. Katzgraber's research takes him to the crossroads of physics, computer science, quantum information theory and statistical mechanics. For more than a decade, h...
Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering
Quantum annealing Dirichlet process Stochastic optimization Maximum a posteriori estimation Bayesian nonparametrics
2013/6/17
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)...
Second Order Asymptotics for Quantum Hypothesis Testing
Second Order Asymptotics Quantum Hypothesis Testing
2012/9/18
In the asymptotic theory of quantum hypothesis testing, the error probability of the first kind jumps sharply from zero to one when the error exponent of the second kind passes by the point of the rel...
A proof of Bell's inequality in quantum mechanics using causal interactions
Interactions interference local reality quantum physics
2012/9/19
We give a simple proof of Bell’s inequality in quantum mechanics which, in conjunction with experiments, demonstrates that the local hidden variables assumption is false. The proof sheds light on rela...
In this letter we revisit the problem of optimal design of quantum tomographic experiments. In contrast to previous approaches where an optimal set of measurements is decided in advance and then kept ...
Testing statistical hypotheses in quantum theory (in Russian)
Testing statistical hypotheses quantum theory
2009/9/24
Testing statistical hypotheses in quantum theory (in Russian)。
On the information-theoretical foundations of quantum statistics
the information-theoretical foundations quantum statistics
2009/9/24
On the information-theoretical foundations of quantum statistics。
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 ...
Diagonalizability of non-homogenous quantum Markov states and associated von Neumann algebras
Quantum probability mathematical statistical mechanics classfication of von Neumann factors
2009/9/21
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...