## Konstnär på b

Also, classifying all Holant problems for general asymmetric complex-weighted signatures remains elusive. Partial results have been obtained for Holantc problems[2]orHolantproblemswithnon-negativelyweightedsignatures[36]. 2 Preliminaries Problems and Definitions The framework of Holant problems is defined for functions mapping any[q]n! R. ## Svenska konstnärer tavlor

A Complete Dichotomy Rises from the Capture of Vanishing Signatures Jin-Yi Cai University of Wisconsin-Madison jyc@ Heng Guo University of Wisconsin-Madison hguo@ ## Svensk konstnär 3 bokstäver

some progress for Holant problems [5], classifying Holant problems on regular bipartite graphs is particularly challenging. In a very recent paper[15] we initiated the study of Holant problems on the simplest setting of 3-regular bipartite graphs with nonnegative constraint functions. Admittedly. ## Finska nutida konstnärer

Jin-Yi Caiy Abstract We prove a complexity dichotomy theorem for the following class of Holant Problems. Given a 3-regular graph G = (V; E), compute Holant(G) = Y g(f3⁄4(u); 3⁄4(v)g);:V!f0;1g fu;vg2E where the (symmetric) edge function g is arbitrary complex valued. ## Konstnär r

Shuai Shao Department of Computer Sciences, University of Wisconsin-Madison, Madison, WI, USA sh@ Abstract Holant problems are intimately connected with quantum theory as tensor networks. We first use techniques from Holant theory to derive new and improved results for quantum entanglement theory. ## Konstnär ae

Three new techniques are introduced: (1) higher dimensional iterations in interpolation; (2) Eigenvalue Shifted Pairs, which allow us to prove that a pair of combinatorial gadgets in combination succeed in proving #P-hardness; and (3) algebraic symmetrization, which significantly lowers the symbolic complexity of the proof for computational comp. ## Identifiera konstnär signatur

Holant problems are a family of counting problems parameterized by sets of algebraic-complex-valued constraint functions and defined on graphs. They arise from the theory of holographic algorithms, which was originally inspired by concepts from quantum computation.

## Identifiera konstnär

A very broad subclass of Holant problems is called Holantc, where only two unary pinning functions 0, 1 (that set a variable to 0 or 1) are assumed to be available. Holantcalready covers a lot of ground, including all of #CSP, graph matching and so on. #CSP is the special case of Holant problems where the constraint function set is assumed to.