Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Cui, Shawn"'
We systematically analyze the representability of toric code ground states by Restricted Boltzmann Machine with only local connections between hidden and visible neurons. This analysis is pivotal for evaluating the model's capability to represent div
Externí odkaz:
http://arxiv.org/abs/2407.01451
We provide the phase diagram of a 2-parameter spin-1 chain that has a symmetry-protected topological (SPT) Haldane phase using computational algorithms along with tensor-network tools. We improve previous results, showing the existence of a new phase
Externí odkaz:
http://arxiv.org/abs/2406.19372
In this paper, we present a detailed mathematical description of the error correction process for Kitaev's model for finite Abelian groups. The number of errors Kitaev's model can correct depends on the lattice and its topology. Although there is a t
Externí odkaz:
http://arxiv.org/abs/2404.08552
Autor:
Kaufmann, Adrian L., Cui, Shawn X.
We study the problem of universality in the anyon model described by the $SU(2)$ Witten-Chern-Simons theory at level $k$. A classic theorem of Freedman-Larsen-Wang states that for $k \geq 3, \ k \neq 4$, braiding of the anyons of topological charge $
Externí odkaz:
http://arxiv.org/abs/2312.16747
Given a triple $H$ of (possibly non-semisimple) Hopf algebras equipped with pairings satisfying a set of properties, we describe a construction of an associated smooth, scalar invariant $\tau_H(X,\pi)$ of a simply connected, compact, oriented $4$-man
Externí odkaz:
http://arxiv.org/abs/2309.08461
The Kitaev spin liquid model on honeycomb lattice offers an intriguing feature that encapsulates both Abelian and non-Abelian anyons. Recent studies suggest that the comprehensive phase diagram of possible generalized Kitaev model largely depends on
Externí odkaz:
http://arxiv.org/abs/2308.06835
Publikováno v:
Quantum 8, 1276 (2024)
We propose a systematic and efficient quantum circuit composed solely of Clifford gates for simulating the ground state of the surface code model. This approach yields the ground state of the toric code in $\lceil 2L+2+log_{2}(d)+\frac{L}{2d} \rceil$
Externí odkaz:
http://arxiv.org/abs/2210.01682
Publikováno v:
J. Phys. A: Math. Theor. 55 (2022) 305302 (54pp)
A quantum computer can perform exponentially faster than its classical counterpart. It works on the principle of superposition. But due to the decoherence effect, the superposition of a quantum state gets destroyed by the interaction with the environ
Externí odkaz:
http://arxiv.org/abs/2204.01000
Autor:
Griffin, Colton, Cui, Shawn X.
We study a method of producing approximately diagonal 1-qubit gates. For each positive integer, the method provides a sequence of gates that are defined iteratively from a fixed diagonal gate and an arbitrary gate. These sequences are conjectured to
Externí odkaz:
http://arxiv.org/abs/2109.05138
Publikováno v:
In Annals of Physics July 2024 466