scholarly journals Improved Separability Criteria Based on Bloch Representation of Density Matrices

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Shu-Qian Shen ◽  
Juan Yu ◽  
Ming Li ◽  
Shao-Ming Fei
Keyword(s):  
Density Matrices ◽  
Separability Criteria ◽  
Bloch Representation

scholarly journals Separability criteria based on Bloch representation of density matrices

2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Hui Zhao ◽  
Mei-Ming Zhang ◽  
NaiHuan Jing ◽  
Zhi-Xi Wang
Keyword(s):  
Density Matrices ◽  
Separability Criteria ◽  
Bloch Representation

scholarly journals Separability criteria based on the realignment of density matrices and reduced density matrices

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Shu-Qian Shen ◽  
Meng-Yuan Wang ◽  
Ming Li ◽  
Shao-Ming Fei
Keyword(s):  
Density Matrices ◽  
Reduced Density Matrices ◽  
Separability Criteria ◽  
Reduced Density

scholarly journals Separability criteria based on Heisenberg–Weyl representation of density matrices

2018 ◽  
Vol 27 (3) ◽  
pp. 030302
Author(s):  
Jingmei Chang ◽  
Meiyu Cui ◽  
Tinggui Zhang ◽  
Shao-Ming Fei
Keyword(s):  
Density Matrices ◽  
Weyl Representation ◽  
Separability Criteria

scholarly journals Quantum Entanglement: Separability, Measure, Fidelity of Teleportation, and Distillation

2010 ◽  
Vol 2010 ◽  
pp. 1-57 ◽  
Author(s):  
Ming Li ◽  
Shao-Ming Fei ◽  
Xianqing Li-Jost
Keyword(s):  
Quantum Information ◽  
Quantum Entanglement ◽  
Information Science ◽  
Quantum Information Processing ◽  
Quantum Information Science ◽  
Entanglement Witness ◽  
Separability Criteria ◽  
Quantum Entangled States ◽  
Matrix Normal ◽  
Bloch Representation

Quantum entanglement plays crucial roles in quantum information processing. Quantum entangled states have become the key ingredient in the rapidly expanding field of quantum information science. Although the nonclassical nature of entanglement has been recognized for many years, considerable efforts have been taken to understand and characterize its properties recently. In this review, we introduce some recent results in the theory of quantum entanglement. In particular separability criteria based on the Bloch representation, covariance matrix, normal form and entanglement witness, lower bounds, subadditivity property of concurrence and tangle, fully entangled fraction related to the optimal fidelity of quantum teleportation, and entanglement distillation will be discussed in detail.

Reduced Density Matrices

2000 ◽  
Author(s):  
A. John Coleman ◽  
Vyacheslav I. Yukalov
Keyword(s):  
Density Matrices ◽  
Reduced Density Matrices ◽  
Reduced Density

scholarly journals An efficient adaptive variational quantum solver of the Schrödinger equation based on reduced density matrices

2021 ◽  
Vol 154 (24) ◽  
pp. 244112
Author(s):  
Jie Liu ◽  
Zhenyu Li ◽  
Jinlong Yang
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Density Matrices ◽  
Reduced Density Matrices ◽  
Reduced Density

scholarly journals Fermi gas approach to general rank theories and quantum curves

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Naotaka Kubo
Keyword(s):  
Matrix Models ◽  
Critical Role ◽  
Three Dimensional ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Partition Functions ◽  
Density Matrices ◽  
General Rank ◽  
Chern Simons ◽  
The Ideal

Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.

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