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One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps
generalized Choi maps One parameter family Quantum Physics
2011/10/8
Abstract: In the recent paper [Chru\'{s}ci\'{n}ski and Wudarski, arXiv:1105.4821], it was conjectured that the entanglement witnesses arising from some generalized Choi maps are optimal. We show that ...
Non Gaussian extrema counts for CMB maps
non Gaussian extrema counts CMB maps Cosmology and Extragalactic Astrophysics
2011/9/30
Abstract: In the context of the geometrical analysis of weakly non Gaussian CMB maps, the 2D differential extrema counts as functions of the excursion set threshold is derived from the full moments ex...
Global well-posedness and scattering for Skyrme wave maps
Wave maps Skyrme model Adkins-Nappi model global existence scattering theory
2011/7/28
Abstract: We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces.
Graded Hopf Maps and Fuzzy Superspheres
Graded Hopf Maps Fuzzy Superspheres High Energy Physics - Theory
2011/7/28
Abstract: We argue supersymmetric generalizations of fuzzy two- and four-spheres based on the unitary-orthosymplectic algebras, $UOSp(N|2)$ and $UOSp(N|4)$, respectively. Supersymmetric version of Sch...
Exposed faces for decomposable positive linear maps arising from completely positive maps
decomposable positive maps exposed faces product vectors
2011/7/25
Abstract: Let $D$ be a space of $2\times n$ matrices. Then the face of the cone of all completely positive maps from $M_2$ into $M_n$ given by $D$ is an exposed face of the bigger cone of all decompos...
A recursive approach to the O(n) model on random maps via nested loops
recursive O(n) model random maps via nested loops
2011/7/25
Abstract: We consider the O(n) loop model on tetravalent maps and show how to rephrase it into a model of bipartite maps without loops. This follows from a combinatorial decomposition that consists in...
A recursive approach to the O(n) model on random maps via nested loops
recursive O(n) model random maps via nested loops
2011/7/25
Abstract: We consider the O(n) loop model on tetravalent maps and show how to rephrase it into a model of bipartite maps without loops. This follows from a combinatorial decomposition that consists in...
Poisson Yang-Baxter maps with binomial Lax matrices
Poisson Yang-Baxter maps binomial Lax matrices Quantum Algebra
2011/7/25
Abstract: A construction of multidimensional parametric Yang-Baxter maps is presented. The corresponding Lax matrices are the symplectic leaves of first degree matrix polynomials equipped with the Skl...
Affine Maps of the Polarization Vector for Quantum Systems of Arbitrary Dimension
Affine Maps the Polarization Vector Quantum Systems Arbitrary Dimension
2010/11/4
The operator-sum decomposition (OS) of a mapping from one density matrix to another has many applications in quantum information science. To this mapping there corresponds an affine map which provides...
Open system quantum dynamics with correlated initial states, not completely positive maps and non-Markovianity
quantum dynamics non-Markovianity Quantum Physics
2010/11/8
Dynamical A and B maps have been employed extensively by Sudarshan and co-workers to investigate open system evolution of quantum systems. A canonical structure of the A-map is introduced here. It is ...
Globally coupled chaotic maps with bistable behaviour: Large deviations
chaotic maps bistable behaviour self consistent Perron-Frobenius operator
2010/4/6
For a system of globally coupled chaotic maps with bistable behaviour we relate the rate function for large deviations in the system size at finite time to dynamical properties of the self consistent ...
The Bolztmann echo (BE) is a measure of irreversibility and sensitivity to perturbations for non-isolated systems. Recently, different regimes of this quantity were described for chaotic systems. Ther...
A Nonperturbative Proposal for Nonabelian Tensor Gauge Theory and Dynamical Quantum Yang-Baxter Maps
Nonabelian Tensor Gauge Theory Dynamical Quantum Yang-Baxter Maps
2010/4/2
We propose a nonperturbative approach to nonabelian two-form gauge theory. We formulate the theory on a lattice in terms of plaquette as fundamental dynamical variable, and assign U(N) Chan-Paton colo...
Chaotic Maps, Hamiltonian Flows, and Holographic Methods
Chaotic Maps Hamiltonian Flows Holographic Methods
2010/4/1
Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby r...
Caustics, counting maps and semi-classical asymptotics
semi-classical asymptotics counting maps Caustics
2010/4/7
This paper develops a deeper understanding of the structure and combinatorial significance of the partition function for Hermitean random matrices. The coefficients of the large N expansion of the log...