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pro vyhledávání: '"Zuo, Fen"'
The Maximum Cut (Max-Cut) problem could be naturally expressed either in a Quadratic Unconstrained Binary Optimization (QUBO) formulation, or as an Ising model. It has long been known that the Maximum Independent Set (MIS) problem could also be relat
Externí odkaz:
http://arxiv.org/abs/2408.06758
A cut of a graph can be represented in many different ways. Here we propose to represent a cut through a ``relation tree'', which is a spanning tree with signed edges. We show that this picture helps to classify the main greedy heuristics for the max
Externí odkaz:
http://arxiv.org/abs/2312.10895
We apply the stabilizer formalism to the Maximum Cut problem, and obtain a new greedy construction heuristic. It turns out to be an elegant synthesis of the edge-contraction and differencing edge-contraction approaches. Utilizing the relation between
Externí odkaz:
http://arxiv.org/abs/2303.17215
We apply the stabilizer method to the study of some complicated molecules, such as water and benzene. In the minimal STO-3G basis, the former requires 14 qubits, and the latter 72 qubits, which is very challenging. Quite remarkably, We are still able
Externí odkaz:
http://arxiv.org/abs/2302.11734
We propose a heuristic method to obtain the approximate groundstate for a Hamiltonian in the qubit form, based on the stabilizer formalism. These states may serve as proper initial states for further refined computation. It would be interesting to as
Externí odkaz:
http://arxiv.org/abs/2209.09564
Autor:
Zuo, Fen
Some theoretic results related to the cosmological constant, obtained in the 80's and 90's of last century, are reviewed. These results exhibit some interesting underlying pattern when viewed from a category-theoretic perspective. In doing this, we i
Externí odkaz:
http://arxiv.org/abs/2007.07270
Autor:
Cheng, Jinlong, Chen, Guibin, Xu, LiPing, Cheng, Ju, Zuo, Fen, Yang, Zhongming, Gao, Zhishan, Yuan, Qun
Publikováno v:
In Optics and Lasers in Engineering May 2023 164
Autor:
Zuo, Fen
In the first-order formulation, general relativity could be formally viewed as the topological $BF$ theory with a specific constraint, the Plebanski constraint. $BF$ theory is expected to be the classical limit of the Crane-Yetter~(CY) topological st
Externí odkaz:
http://arxiv.org/abs/1706.00312
Akademický článek
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Autor:
Zuo, Fen
Recently the $\text{SU}(2)$ spin-network states in loop quantum gravity is generalized to those of the corresponding affine Lie algebra. We show that if one literally starts from the full $\text{SL}(2,\mathbb{C})$ group, this procedure naturally lead
Externí odkaz:
http://arxiv.org/abs/1607.05866