604 research outputs found
Symmetrization for Quantum Networks: a continuous-time approach
In this paper we propose a continuous-time, dissipative Markov dynamics that
asymptotically drives a network of n-dimensional quantum systems to the set of
states that are invariant under the action of the subsystem permutation group.
The Lindblad-type generator of the dynamics is built with two-body subsystem
swap operators, thus satisfying locality constraints, and preserve symmetric
observables. The potential use of the proposed generator in combination with
local control and measurement actions is illustrated with two applications: the
generation of a global pure state and the estimation of the network size.Comment: submitted to MTNS 201
Rigid Supersymmetry from Conformal Supergravity in Five Dimensions
We study the rigid limit of 5d conformal supergravity with minimal
supersymmetry on Riemannian manifolds. The necessary and sufficient condition
for the existence of a solution is the existence of a conformal Killing vector.
Whenever a certain curvature becomes abelian the backgrounds define a
transversally holomorphic foliation. Subsequently we turn to the question under
which circumstances these backgrounds admit a kinetic Yang-Mills term in the
action of a vector multiplet. Here we find that the conformal Killing vector
has to be Killing. We supplement the discussion with various appendices.Comment: 23 page
Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture
We prove the conjecture of Do and Karev that the monotone orbifold Hurwitz
numbers satisfy the Chekhov-Eynard-Orantin topological recursion.Comment: 11 pages. V2: Updated grant acknowledgments of A.P. and mail address
of R.
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