64 citations · 186 across the 16 of their papers we have counts for
16 papers
Geometric partition categories: On short Brauer algebras and their blob subalgebras
Zoltan Kadar, Paul P. Martin
The main result here gives an algebra(/linear category) isomorphism between a geometrically defined subcategory of a short Brauer category and a certain one-parameter…
From tensor category to Temperley-Lieb algebra representation
Peter E. Finch, Zoltan Kadar, Paul Martin
We construct a representation of the Temperley-Lieb algebra from a multiplicity-free semisimple monoidal Abelian category , with two simple objects and such that…
Inversion symmetry breaking and criticality in free fermionic lattices
Zoltan Kadar
We describe the connection between inversion symmetry breaking and criticality in free fermionic lattice models. It is shown that for translation-invariant spinless fermions, the b…
Local representations of the loop braid group
Zoltan Kadar, Paul Martin, Eric Rowell +1
We study representations of the loop braid group from the perspective of extending representations of the braid group . We also pursue a generalization of the braid/Hec…
On geometrically defined extensions of the Temperley-Lieb category in the Brauer category
Zoltan Kadar, Paul P. Martin, Shona Yu
We define an infinite chain of subcategories of the partition category by introducing the left-height () of a partition. For the Brauer case, the chain starts with the Temperley…
Simulating continuous quantum systems by mean field fluctuations
Zoltan Kadar, Michael Keyl, Geza Toth +1
In this paper we are discussing the question how a continuous quantum system can be simulated by mean field fluctuations of a finite number of qubits. On the kinematical side this…
Quantum Transport Enhancement by Time-Reversal Symmetry Breaking
Zoltan Zimboras, Mauro Faccin, Zoltan Kadar +3
Quantum mechanics still provides new unexpected effects when considering the transport of energy and information. Models of continuous time quantum walks, which implicitly use time…
Entanglement entropy in quantum spin chains with broken reflection symmetry
Zoltan Kadar, Zoltan Zimboras
We investigate the entanglement entropy of a block of L sites in quasifree translation-invariant spin chains concentrating on the effect of reflection symmetry breaking. The majora…
Entanglement distillation from quasifree Fermions
Zoltan Kadar, Michael Keyl, Dirk Schlingemann
We develop a scheme to distill entanglement from bipartite Fermionic systems in an arbitrary quasifree state. It can be applied if either one system containing infinite one-copy en…
Microscopic description of 2d topological phases, duality and 3d state sums
Zoltan Kadar, Annalisa Marzuoli, Mario Rasetti
Doubled topological phases introduced by Kitaev, Levin and Wen supported on two dimensional lattices are Hamiltonian versions of three dimensional topological quantum field theorie…
Braiding and entanglement in spin networks: a combinatorial approach to topological phases
Zoltan Kadar, Annalisa Marzuoli, Mario Rasetti
The spin network quantum simulator relies on the su(2) representation ring (or its q-deformed counterpart at q= root of unity) and its basic features naturally include (multipartit…
DLCQ Strings, Twist Fields and One-Loop Correlators on a Permutation Orbifold
Henry C. D. Cove, Zoltan Kadar, Richard J. Szabo
We investigate some aspects of the relationship between matrix string theory and light-cone string field theory by analysing the correspondence between the two-loop thermal partiti…
Timelike surfaces in Lorentz covariant loop gravity and spin foam models
Sergei Alexandrov, Zoltan Kadar
We construct a canonical formulation of general relativity for the case of a timelike foliation of spacetime. The formulation possesses explicit covariance with respect to Lorentz…
Polygon model from first order gravity
Z. Kadar
The gauge fixed polygon model of 2+1 gravity with zero cosmological constant and arbitrary number of spinless point particles is reconstructed from the first order formalism of the…
(2+1) gravity for higher genus in the polygon model
Z. Kadar, R. Loll
We construct explicitly a (12g-12)-dimensional space P of unconstrained and independent initial data for 't Hooft's polygon model of (2+1) gravity for vacuum spacetimes with compac…
The torus and the Klein Bottle amplitude of permutation orbifolds
Zoltan Kadar
The torus and the Klein bottle amplitude coefficients are computed in permutation orbifolds of RCFT-s in terms of the same quantities in the original theory and the twist group. An…