Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Chen, Changbo"'
Autor:
Wu, Wenyuan, Chen, Changbo
We propose a method for tracing implicit real algebraic curves defined by polynomials with rank-deficient Jacobians. For a given curve $f^{-1}(0)$, it first utilizes a regularization technique to compute at least one witness point per connected compo
Externí odkaz:
http://arxiv.org/abs/2101.12453
Detecting the entanglement structure, such as intactness and depth, of an n-qubit state is important for understanding the imperfectness of the state preparation in experiments. However, identifying such structure usually requires an exponential numb
Externí odkaz:
http://arxiv.org/abs/2012.00526
We present a new method for visualizing implicit real algebraic curves inside a bounding box in the $2$-D or $3$-D ambient space based on numerical continuation and critical point methods. The underlying techniques work also for tracing space curve i
Externí odkaz:
http://arxiv.org/abs/1912.07507
Autor:
Ren, Changliang, Chen, Changbo
Publikováno v:
Phys. Rev. A 100, 022314 (2019)
Quantum steering is an important nonclassical resource for quantum information processing. However, even lots of steering criteria exist, it is still very difficult to efficiently determine whether an arbitrary two-qubit state shared by Alice and Bob
Externí odkaz:
http://arxiv.org/abs/1903.02146
Entanglement, quantum steering and nonlocality are distinct quantum correlations which are the resources behind various of quantum information and quantum computation applications. However, a central question of determining the precise quantitative r
Externí odkaz:
http://arxiv.org/abs/1810.10234
Autor:
Chen, Changbo, Covanov, Svyatoslav, Mansouri, Farnam, Maza, Marc Moreno, Xie, Ning, Xie, Yuzhen
We propose a new algorithm for multiplying dense polynomials with integer coefficients in a parallel fashion, targeting multi-core processor architectures. Complexity estimates and experimental comparisons demonstrate the advantages of this new appro
Externí odkaz:
http://arxiv.org/abs/1612.05778
Recently quantum nonlocality has been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen steering, and Bell's nonlocality. Among which, Bell's nonlocality is the strongest type. Bell's nonlocality for quantum states i
Externí odkaz:
http://arxiv.org/abs/1606.07060
Publikováno v:
In Computational Materials Science 15 February 2021 188
Publikováno v:
In Computer Aided Geometric Design May 2020 79
Autor:
England, Matthew, Bradford, Russell, Chen, Changbo, Davenport, James H., Maza, Marc Moreno, Wilson, David
Publikováno v:
Intelligent Computer Mathematics, pp. 45-60. (Lecture Notes in Artificial Intelligence, 8543). Springer Berlin Heidelberg, 2014
Cylindrical algebraic decompositions (CADs) are a key tool for solving problems in real algebraic geometry and beyond. We recently presented a new CAD algorithm combining two advances: truth-table invariance, making the CAD invariant with respect to
Externí odkaz:
http://arxiv.org/abs/1404.6371