Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Shawn X Cui"'
Publikováno v:
Quantum, Vol 8, p 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:
https://doaj.org/article/2613a04d31a24068aaa2b95b771c5403
Publikováno v:
Communications in Mathematical Physics. 397:1191-1235
Using M-theory in physics, Cho, Gang, and Kim (JHEP 2020, 115 (2020) ) recently outlined a program that connects two parallel subjects of three dimensional manifolds, namely, geometric topology and quantum topology. They suggest that classical topolo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e413642bd20f0004d94b9c2db9234741
https://doi.org/10.1007/s00220-022-04517-4
https://doi.org/10.1007/s00220-022-04517-4
Autor:
Shawn X. Cui, Dawei Ding, Xizhi Han, Geoffrey Penington, Daniel Ranard, Brandon C. Rayhaun, Zhou Shangnan
Publikováno v:
Quantum, Vol 4, p 331 (2020)
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this is the cas
Externí odkaz:
https://doaj.org/article/6ae66d7905674a52956ec866b27621c2
Autor:
Shawn X. Cui
Publikováno v:
Quantum Topology. 10:593-676
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4de7210b999385ef55647021282d2426
https://doi.org/10.4171/qt/128
https://doi.org/10.4171/qt/128
Publikováno v:
Science China Mathematics. 62:417-446
Pursuing a generalization of group symmetries of modular categories to category symmetries in topological phases of matter, we study linear Hopf monads. The main goal is a generalization of extension and gauging group symmetries to category symmetrie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c13603dd52cf97cfbff2da3e4cc63807
https://doi.org/10.1007/s11425-018-9455-5
https://doi.org/10.1007/s11425-018-9455-5
The Kuperberg invariant is a topological invariant of closed 3-manifolds based on finite-dimensional Hopf algebras. In this paper, we initiate the program of constructing 4-manifold invariants in the spirit of Kuperberg's 3-manifold invariant. We uti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09e42d59b541852d60a39681a99c08be
http://arxiv.org/abs/1910.14662
http://arxiv.org/abs/1910.14662
It is an open question if there are leakage-free entangling Fibonacci braiding gates. We provide evidence to the conjecture for the negative in this paper. We also found a much simpler protocol to generate approximately leakage-free entangling Fibona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14f5fd100bd0a3fa4b13fd382e542ab9
Autor:
Xizhi Han, Brandon C. Rayhaun, Daniel Ranard, Geoffrey Penington, Dawei Ding, Shawn X. Cui, Zhou Shangnan
Publikováno v:
Quantum, Vol 4, p 331 (2020)
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this is the cas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f79b1e219403ae0ebd89418cc0ecc2f0
Publikováno v:
Quantum Information and Computation. 16:862-884
Qutrit (or ternary) structures arise naturally in many quantum systems, notably in certain non-abelian anyon systems. We present efficient circuits for ternary reversible and quantum arithmetics. Our main result is the derivation of circuits for two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29d512276f4b1e9419a55b4cca604170
https://doi.org/10.26421/qic16.9-10-8
https://doi.org/10.26421/qic16.9-10-8
Publikováno v:
Quantum Topology. 7:185-201
The second author previously discussed how classical complexity separation conjectures, we call them "axioms", have implications in three manifold topology: polynomial length stings of operations which preserve certain Jones polynomial evaluations ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95625884cc35e26fe6452833ffbc5344
https://doi.org/10.4171/qt/75
https://doi.org/10.4171/qt/75