Date: Thu, 29 Apr 10 00:04:44 GMT Subject: math-ph daily 9 new + 7 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Tue 27 Apr 10 20:00:00 GMT to Wed 28 Apr 10 20:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1004.4911 Date: Tue, 27 Apr 2010 20:41:31 GMT (14kb) Title: On efficiency of Hamiltonian--based quantum computation for low--rank matrices Authors: Zhenwei Cao and Alexander Elgart Categories: math-ph math.MP quant-ph Comments: 13 pages, no figures MSC-class: 35Q41, 68Q12, 81P68 \\ We analyze a quantum evolution of the system where the problem Hamiltonian $H_F$ is of small rank. We show the running time $\tau$ is bounded from below by $O(\sqrt{N})$, where $N$ is a dimension of the Hilbert space. In a Gedankenexperiment, we construct an initial Hamiltonian and non--adiabatic parametrization such that $\tau=O(\sqrt{N})$. We also prove that for a robust adiabatic computational device $\tau$ cannot be much smaller than $O(N/\ln N)$. \\ ( http://arxiv.org/abs/1004.4911 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1004.4923 Date: Tue, 27 Apr 2010 23:04:38 GMT (19kb) Title: Hamiltonian Structure of Gauge-Invariant Variational Problems Authors: Marco Castrillon Lopez, Jaime Munoz Masque Categories: math-ph math.DG math.MP \\ Let $C\to M$ be the bundle of connections of a principal bundle on $M$. The solutions to Hamilton-Cartan equations for a gauge-invariant Lagrangian density $\Lambda $ on $C$ satisfying a weak condition of regularity, are shown to admit an affine fibre-bundle structure over the set of solutions to Euler-Lagrange equations for $\Lambda $. This structure is also studied for the Jacobi fields and for the moduli space of extremals. \\ ( http://arxiv.org/abs/1004.4923 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1004.4928 Date: Tue, 27 Apr 2010 23:56:36 GMT (632kb,D) Title: Function reconstruction as a classical moment problem: A maximum entropy approach Authors: Parthapratim Biswas and Arun K. Bhattacharya Categories: math-ph cond-mat.dis-nn math.MP physics.comp-ph Comments: 20 pages, 17 figures \\ We present a systematic study of the reconstruction of a non-negative function via maximum entropy approach utilizing the information contained in a finite number of moments of the function. For testing the efficacy of the approach, we reconstruct a set of functions using an iterative entropy optimization scheme, and study the convergence profile as the number of moments is increased. We consider a wide variety of functions that include a distribution with a sharp discontinuity, a rapidly oscillatory function, a distribution with singularities, and finally a distribution with several spikes and fine structure. The last example is important in the context of the determination of the natural density of the logistic map. The convergence of the method is studied by comparing the moments of the approximated functions with the exact ones. Furthermore, by varying the number of moments and iterations, we examine to what extent the features of the functions, such as the divergence behavior at singular points within the interval, is reproduced. The proximity of the reconstructed maximum entropy solution to the exact solution is examined via Kullback-Leibler divergence and variation measures for different number of moments. \\ ( http://arxiv.org/abs/1004.4928 , 632kb) ------------------------------------------------------------------------------ \\ arXiv:1004.4935 Date: Wed, 28 Apr 2010 00:38:16 GMT (8kb) Title: A Heuristic Derivation Of The Schr\"odinger Equation and the Momentum Operator Authors: Ricardo Cordero-Soto Categories: math-ph math.MP quant-ph \\ Students in a quantum mechanics course are often introduced to the Schr\"odinger equation as the standard mathematical tool. However, rarely do students develop an understanding as to why the equation is the choice for modeling quantum phenomena or where it came from. While many books do have a heuristic derivation, they sometimes differ in their approach and often fail to give a satisfying explanation to the so-called canonical substitution of momentum. In this paper, we use de Broglie's hypothesis along with experimental results and theories to provide a heuristic derivation of the Schr\"odinger equation and of the the momentum operator. \\ ( http://arxiv.org/abs/1004.4935 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1004.4939 Date: Wed, 28 Apr 2010 01:19:59 GMT (15kb) Title: On the Gravitational Inverse Problem Authors: Ulvi Yurtsever, Caren Marzban, and Marina Meila Categories: math-ph gr-qc math.MP physics.class-ph Comments: 9 pages; LaTeX \\ We discuss some mathematical aspects of the problem of inverting gravitational field data to extract the underlying mass distribution. While the forward problem of computing the gravity field from a given mass distribution is mathematically straightforward, the inverse of this forward map has some interesting features that make inversion a difficult problem. In particular, the forward map has an infinite-dimensional kernel which makes the inversion fundamentally non-unique. We characterize completely the kernels of two gravitational forward maps, one mapping mass density to the Newtonian scalar potential, and the other mapping mass density to the gravity gradient tensor, which is the quantity most commonly measured in field observations. In addition, we present some results on unique inversion under constrained conditions, and comment on the roles the kernel of the forward map and non-uniqueness play in discretized approaches to the continuum inverse problem. \\ ( http://arxiv.org/abs/1004.4939 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1004.4967 Date: Wed, 28 Apr 2010 07:47:52 GMT (3kb) Title: Finite Projective Spaces, Geometric Spreads of Lines and Multi-Qubits Authors: Metod Saniga (ASTRINSTSAV) Categories: math-ph math.MP quant-ph Comments: 3 pages, no figures/tables \\ Given a (2N - 1)-dimensional projective space over GF(2), PG(2N - 1, 2), and its geometric spread of lines, there exists a remarkable mapping of this space onto PG(N - 1, 4) where the lines of the spread correspond to the points and subspaces spanned by pairs of lines to the lines of PG(N - 1, 4). Under such mapping, a non-degenerate quadric surface of the former space has for its image a non-singular Hermitian variety in the latter space, this quadric being {\it hyperbolic} or {\it elliptic} in dependence on N being {\it even} or {\it odd}, respectively. We employ this property to show that generalized Pauli groups of N-qubits also form two distinct families according to the parity of N and to put the role of symmetric operators into a new perspective. The N=4 case is taken to illustrate the issue. \\ ( http://arxiv.org/abs/1004.4967 , 3kb) ------------------------------------------------------------------------------ \\ arXiv:1004.5081 Date: Wed, 28 Apr 2010 17:00:20 GMT (8kb) Title: On the treatment of divergent integrals in perturbative quantum field theory Authors: R. Trinchero Categories: math-ph hep-th math.MP \\ A simple integral that illustrates the concepts of regularization, subtraction, renormalization and renormalization group employed in perturbative quantum field theory(PQFT) is considered. \\ ( http://arxiv.org/abs/1004.5081 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1004.5091 Date: Wed, 28 Apr 2010 17:42:46 GMT (23kb) Title: Canonical k-Minkowski Spacetime Authors: Ludwik Dabrowski and Gherardo Piacitelli Categories: math-ph gr-qc hep-th math.MP Comments: 30 pages, uses hyperref \\ A complete classification of the regular representations of the relations [T,X_j] = (i/k)X_j, j=1,...,d, is given. The quantisation of RxR^d canonically (in the sense of Weyl) associated with the universal representation of the above relations is intrinsically "radial", this meaning that it only involves the time variable and the distance from the origin; angle variables remain classical. The time axis through the origin is a spectral singularity of the model: in the large scale limit it is topologically disjoint from the rest. The symbolic calculus is developed; in particular there is a trace functional on symbols. For suitable choices of states localised very close to the origin, the uncertainties of all spacetime coordinates can be made simultaneously small at wish. On the contrary, uncertainty relations become important at "large" distances: Planck scale effects should be visible at LHC energies, if processes are spread in a region of size 1mm (order of peak nominal beam size) around the origin of spacetime. \\ ( http://arxiv.org/abs/1004.5091 , 23kb) ------------------------------------------------------------------------------ \\ arXiv:1004.5105 Date: Wed, 28 Apr 2010 18:33:38 GMT (20kb) Title: Transmission eigenvalues for operators with constant coefficients Authors: Michael Hitrik, Katsiaryna Krupchyk, Petri Ola, Lassi P\"aiv\"arinta Categories: math-ph math.MP MSC-class: 35P30, 35P25, 35E99, 81U40 \\ In this paper we study the interior transmission problem and transmission eigenvalues for multiplicative perturbations of linear partial differential operator of order $\ge 2$ with constant real coefficients. Under suitable growth conditions on the symbol of the operator and the perturbation, we show the discreteness of the set of transmission eigenvalues and derive sufficient conditions on the existence of transmission eigenvalues. We apply these techniques to the case of the biharmonic operator and the Dirac system. In the hypoelliptic case we present a connection to scattering theory. \\ ( http://arxiv.org/abs/1004.5105 , 20kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:0912.0220 (*cross-listing*) Date: Tue, 1 Dec 2009 19:11:12 GMT (199kb) Date (revised v2): Wed, 28 Apr 2010 17:21:27 GMT (199kb) Title: Spectral dimension of a quantum universe Authors: Leonardo Modesto and Piero Nicolini Categories: hep-th gr-qc math-ph math.MP Comments: 5 pages, 1 figure, references added, typos corrected, title changed, accepted for publication in Physical Review D. \\ In this paper, we calculate in a transparent way the spectral dimension of a quantum spacetime, considering a diffusion process propagating on a fluctuating manifold. To describe the erratic path of the diffusion, we implement a minimal length by averaging the graininess of the quantum manifold in the flat space case. As a result we obtain that for large diffusion times, the quantum spacetime behaves like a smooth differential manifold of discrete dimension. On the other hand, for smaller diffusion times, the spacetime looks like a fractal surface with a reduced effective dimension. For the specific case in which the diffusion time has the size of the minimal length, the spacetime turns out to have a spectral dimension equal to two, suggesting a possible renormalizable character of gravity in this regime. For smaller diffusion times, the spectral dimension approaches zero, making less reliable any physical interpretation in this extreme regime. We extend our result to the presence of a background field and curvature. We show that in this case the spectral dimension has a more complicated relation with the diffusion time and conclusions about the renormalizable character of gravity become less straightforward with respect to what we found with the flat space analysis. \\ ( http://arxiv.org/abs/0912.0220 , 199kb) ------------------------------------------------------------------------------ \\ arXiv:1003.4725 (*cross-listing*) Date: Wed, 24 Mar 2010 19:53:58 GMT (1346kb) Date (revised v2): Wed, 28 Apr 2010 02:38:39 GMT (1182kb) Title: Quantum integrability and functional equations Authors: Dmytro Volin Categories: hep-th cond-mat.stat-mech math-ph math.MP Comments: PhD thesis. Contains also unpublished previously results and introduction to the subject of integrability in terms of functional equations. 210 pages+references; v2: references added, typos corrected \\ In this thesis a general procedure to represent the integral Bethe Ansatz equations in the form of the Reimann-Hilbert problem is given. This allows us to study in simple way integrable spin chains in the thermodynamic limit. Based on the functional equations we give the procedure that allows finding the subleading orders in the solution of various integral equations solved to the leading order by the Wiener-Hopf technics. The integral equations are studied in the context of the AdS/CFT correspondence, where their solution allows verification of the integrability conjecture up to two loops of the strong coupling expansion. In the context of the two-dimensional sigma models we analyze the large-order behavior of the asymptotic perturbative expansion. Obtained experience with the functional representation of the integral equations allowed us also to solve explicitly the crossing equations that appear in the AdS/CFT spectral problem. \\ ( http://arxiv.org/abs/1003.4725 , 1182kb) ------------------------------------------------------------------------------ \\ arXiv:1004.5017 (*cross-listing*) Date: Wed, 28 Apr 2010 12:52:33 GMT (136kb) Title: Quantum Theory of Reactive Scattering in Phase Space Authors: Arseni Goussev, Roman Schubert, Holger Waalkens, Stephen Wiggins Categories: quant-ph math-ph math.MP physics.chem-ph Comments: 59 pages, 13 figures \\ We review recent results on quantum reactive scattering from a phase space perspective. The approach uses classical and quantum versions of normal form theory and the perspective of dynamical systems theory. Over the past ten years the classical normal form theory has provided a method for realizing the phase space structures that are responsible for determining reactions in high dimensional Hamiltonian systems. This has led to the understanding that a new (to reaction dynamics) type of phase space structure, a {\em normally hyperbolic invariant manifold} (or, NHIM) is the "anchor" on which the phase space structures governing reaction dynamics are built. The quantum normal form theory provides a method for quantizing these phase space structures through the use of the Weyl quantization procedure. We show that this approach provides a solution of the time-independent Schr\"odinger equation leading to a (local) S-matrix in a neighborhood of the saddle point governing the reaction. It follows easily that the quantization of the directional flux through the dividing surface with the properties noted above is a flux operator that can be expressed in a "closed form". Moreover, from the local S-matrix we easily obtain an expression for the cumulative reactio probability (CRP). Significantly, the expression for the CRP can be evaluated without the need to compute classical trajectories. The quantization of the NHIM is shown to lead to the activated complex, and the lifetimes of quantum states initialized on the NHIM correspond to the Gamov-Siegert resonances. We apply these results to the collinear nitrogen exchange reaction and a three degree-of-freedom system corresponding to an Eckart barrier coupled to two Morse oscillators. \\ ( http://arxiv.org/abs/1004.5017 , 136kb) ------------------------------------------------------------------------------ \\ arXiv:1004.5025 (*cross-listing*) Date: Wed, 28 Apr 2010 13:20:27 GMT (124kb) Title: Freezing Transition in Decaying Burgers Turbulence and Random Matrix Dualities Authors: Yan V Fyodorov, Pierre Le Doussal, and Alberto Rosso Categories: cond-mat.dis-nn cond-mat.stat-mech math-ph math.MP nlin.CD Comments: 6 pages, 5 figures \\ We reveal a phase transition with decreasing viscosity $\nu$ at \nu=\nu_c>0 in one-dimensional decaying Burgers turbulence with a power-law correlated random profile of Gaussian-distributed initial velocities \sim|x-x'|^{-2}. The low-viscosity phase exhibits non-Gaussian one-point probability density of velocities, continuously dependent on \nu, reflecting a spontaneous one step replica symmetry breaking (RSB) in the associated statistical mechanics problem. We obtain the low orders cumulants analytically. Our results, which are checked numerically, are based on combining insights in the mechanism of the freezing transition in random logarithmic potentials with an extension of duality relations discovered recently in Random Matrix Theory. They are essentially non mean-field in nature as also demonstrated by the shock size distribution computed numerically and different from the short range correlated Kida model, itself well described by a mean field one step RSB ansatz. We also provide some insights for the finite viscosity behaviour of velocities in the latter model. \\ ( http://arxiv.org/abs/1004.5025 , 124kb) ------------------------------------------------------------------------------ \\ arXiv:1004.5086 (*cross-listing*) Date: Wed, 28 Apr 2010 17:26:43 GMT (51kb,D) Title: A transform of complementary aspects with applications to entropic uncertainty relations Authors: Prabha Mandayam, Niranjan Balachandran and Stephanie Wehner Categories: quant-ph math-ph math.MP Comments: 16 pages, 2 figures \\ Even though mutually unbiased bases and entropic uncertainty relations play an important role in quantum cryptographic protocols they remain ill understood. Here, we construct special sets of up to 2n+1 mutually unbiased bases (MUBs) in dimension d=2^n which have particularly beautiful symmetry properties derived from the Clifford algebra. More precisely, we show that there exists a unitary transformation that cyclically permutes such bases. This unitary can be understood as a generalization of the Fourier transform, which exchanges two MUBs, to multiple complementary aspects. We proceed to prove a lower bound for min-entropic entropic uncertainty relations for any set of MUBs, and show that symmetry plays a central role in obtaining tight bounds. For example, we obtain for the first time a tight bound for four MUBs in dimension d=4, which is attained by an eigenstate of our complementarity transform. Finally, we discuss the relation to other symmetries obtained by transformations in discrete phase space, and note that the extrema of discrete Wigner functions are directly related to min-entropic uncertainty relations for MUBs. \\ ( http://arxiv.org/abs/1004.5086 , 51kb) ------------------------------------------------------------------------------ \\ arXiv:1004.5104 (*cross-listing*) Date: Wed, 28 Apr 2010 18:31:04 GMT (16kb) Title: Paths on graphs and associated quantum groupoids* Authors: R. Trinchero Categories: math.QA hep-th math-ph math.MP Comments: To appear in the proceedings of "Colloquium on Hopf Algebras, Quantum Groups and Tensor Categories", August 31st to September 4th 2009, La Falda, Cordoba, Argentina. MSC-class: 16Txx \\ Given any simple biorientable graph it is shown that there exists a weak {*}-Hopf algebra constructed out of the space of paths on the corresponding graph. This construction is based on a direct sum decomposition of the space of paths into orthogonal subspaces one of which is the space of essential paths. Two simple examples are worked out with certain detail, the ADE graph $A_{3}$ and the affine graph $A_{[2]}$. For the first example the weak {*}-Hopf algebra coincides with the so called double triangle algebra. No use is made of Ocneanu's cell calculus. \\ ( http://arxiv.org/abs/1004.5104 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1004.5118 (*cross-listing*) Date: Wed, 28 Apr 2010 19:48:20 GMT (110kb,D) Title: Dimer of two bosons in a one-dimensional optical lattice Authors: Juha Javanainen, Otim Odong, and Jerome C. Sanders Categories: quant-ph cond-mat.quant-gas math-ph math.MP Comments: This version is very close to the published version. 14 pages, 3 figures Journal-ref: Phys. Rev. A 81, 043609 (2010) DOI: 10.1103/PhysRevA.81.043609 \\ We investigate theoretically the stationary states of two bosons in a one-dimensional optical lattice within the Bose-Hubbard model. Starting from a finite lattice with periodic boundary conditions, we effect a partial separation of the center-of-mass and relative motions of the two-atom lattice dimer in the lattice momentum representation, and carefully analyze the eigenstates of the relative motion. In the limit when the lattice becomes infinitely long, we find closed-form analytic expressions for both the bound state and the dissociated states of the lattice dimer. We outline the corresponding analysis in the position representation. The results are used to discuss three ways to detect the dimer: by measuring the momentum distribution of the atoms, by finding the size of the molecule with measurements of atom number correlations at two lattice sites, and by dissociating a bound state of the lattice dimer with a modulation of the lattice depth. \\ ( http://arxiv.org/abs/1004.5118 , 110kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:0809.0441 replaced with revised version Wed, 28 Apr 2010 01:47:50 GMT (1697kb,D) Title: Resurgent Analysis of the Witten Laplacian in One Dimension Authors: Alexander Getmanenko Categories: math-ph math.MP Comments: color figures; typos corrected, minor changes of notation made \\ ( http://arxiv.org/abs/0809.0441 , 1697kb) ------------------------------------------------------------------------------ \\ arXiv:0907.0226 replaced with revised version Wed, 28 Apr 2010 13:36:16 GMT (44kb) Title: Limit process of stationary TASEP near the characteristic line Authors: Jinho Baik (1), Patrik L. Ferrari (2), Sandrine P\'ech\'e (3) ((1) University of Michigan, (2) Bonn University, (3) Institut Fourier) Categories: math-ph cond-mat.stat-mech math.CO math.MP Comments: 59 pages, 5 figures, LaTeX (Numering within sections as in the journal version) MSC-class: 82C22, 60K35, 15A52 \\ ( http://arxiv.org/abs/0907.0226 , 44kb) ------------------------------------------------------------------------------ \\ arXiv:0911.0169 replaced with revised version Wed, 28 Apr 2010 19:47:16 GMT (13kb) Title: Noether's Theorem for a Fixed Region Authors: Klaus Bering Categories: math-ph hep-th math.MP Comments: 12 pages, LaTeX. v2,v3: Minor corrections. v4,v5: Added references. MSC-class: 70S10 \\ ( http://arxiv.org/abs/0911.0169 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:0911.4215 (*cross-listing*) replaced with revised version Tue, 27 Apr 2010 23:23:16 GMT (261kb) Title: Derivation of Matrix Product Ansatz for the Heisenberg Chain from Algebraic Bethe Ansatz Authors: Hosho Katsura and Isao Maruyama Categories: cond-mat.stat-mech cond-mat.str-el hep-th math-ph math.MP quant-ph Comments: 24 pages; minor typos are corrected Journal-ref: J.Phys.A 43:175003,2010 DOI: 10.1088/1751-8113/43/17/175003 \\ ( http://arxiv.org/abs/0911.4215 , 261kb) ------------------------------------------------------------------------------ \\ arXiv:0912.2722 (*cross-listing*) replaced with revised version Wed, 28 Apr 2010 17:36:08 GMT (20kb) Title: Eigensystem of an $L^2$-perturbed harmonic oscillator is an unconditional basis Authors: James Adduci and Boris Mityagin Categories: math.SP math-ph math.MP Comments: 28 pages MSC-class: 47E05, 34L40, 34L10 \\ ( http://arxiv.org/abs/0912.2722 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1002.0875 (*cross-listing*) replaced with revised version Wed, 28 Apr 2010 01:59:39 GMT (32kb) Title: Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation Authors: Lung-Chi Chen, Akira Sakai Categories: math.PR math-ph math.MP Comments: 39 pages, 1 figure MSC-class: 60K35, 82B41, 82B43 \\ ( http://arxiv.org/abs/1002.0875 , 32kb) ------------------------------------------------------------------------------ \\ arXiv:1002.2480 replaced with revised version Wed, 28 Apr 2010 16:45:48 GMT (22kb) Title: Form factor expansions in the 2D Ising model and Painlev\'e VI Authors: Vladimir V. Mangazeev and Anthony J. Guttmann Categories: math-ph hep-th math.MP Comments: 23 pages, references added, introduction extended, abstract modified, misprints corrected \\ ( http://arxiv.org/abs/1002.2480 , 22kb) ------------------------------------------------------------------------------ \\ arXiv:1003.3431 (*cross-listing*) replaced with revised version Wed, 28 Apr 2010 17:16:09 GMT (11kb) Title: Formulas for Joint Probabilities for the Asymmetric Simple Exclusion Process Authors: Craig A. Tracy, Harold Widom Categories: math.PR math-ph math.MP Comments: 15 pages. Version 3 adds references and improves the exposition. MSC-class: 60K35 \\ ( http://arxiv.org/abs/1003.3431 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1004.1904 (*cross-listing*) replaced with revised version Wed, 28 Apr 2010 10:29:58 GMT (12kb) Title: Pseudo-Hermiticity and Electromagnetic Wave Propagation: The case of anisotropic and lossy media Authors: A. Mostafazadeh and G. Scolarici Categories: quant-ph math-ph math.MP Comments: 12 pages, Published Version Journal-ref: Phys. Lett. A 374, 2401-2405 (2010) \\ ( http://arxiv.org/abs/1004.1904 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1004.2118 (*cross-listing*) replaced with revised version Wed, 28 Apr 2010 00:51:51 GMT (11kb) Title: SL(2,C) gravity on noncommutative space with Poisson structure Authors: Yan-Gang Miao and Shao-Jun Zhang Categories: hep-th gr-qc math-ph math.MP Comments: 12 pages, no figures; v2: 13 pages, clarifications and references added \\ ( http://arxiv.org/abs/1004.2118 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1004.4519 replaced with revised version Tue, 27 Apr 2010 20:29:46 GMT (6kb) Title: Quantum conditional entropy for infinite-dimensional systems Authors: A. A. Kuznetsova Categories: math-ph math.MP quant-ph Comments: 8 pages MSC-class: 81Qxx \\ ( http://arxiv.org/abs/1004.4519 , 6kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arXiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arXiv.org/help/ For a list of archive mirror sites, see http://arXiv.org/servers.html ----------------------------------------------------------------------------- Third-party submissions cause excessive problems. Author self-submissions are exceedingly preferred. E-mail submissions have been discontinued in favor of better support for Web submissions. See http://arXiv.org/help/uploads