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We give a list of finite groups containing all finite groups G such that the group of units ZG∗ of the integral group ring ZG is subgroup separable. There are only two types of these groups G fo...
On subgroup conjugacy separability in the class of virtually free groups
subgroup conjugacy separability class of virtually free groups
2011/2/25
A group G is called subgroup conjugacy separable (abbreviated as SCS), if any two finitely generated and non-conjugate subgroups of G remain non-conjugate in some finite quotient of G. We prove that t...
Radial and Azimuthal Profiles of Two-Qubit/Rebit Hilbert-Schmidt Separability Probabilities
Radial Azimuthal Profiles Two-Qubit/Rebit Hilbert-Schmidt Separability Probabilities
2010/11/8
We reduce the long-standing problem of ascertaining the Hilbert-Schmidt probability that a generic pair of qubits is separable to that of determining the specific nature of a one-dimensional (separabi...
Reexamination of determinant-based separability test for two qubits
Reexamination determinant-based separability qubits
2010/10/29
It was shown in [Augusiak et al.,\;Phys. Rev. A \textbf{77}, 030301(R) (2008)] that discrimination between entanglement and separability in a two qubit state can be achieved by a measurement of a sin...
Bi-presymplectic representation of Liouville integrable systems and related separability theory
Bi-presymplectic representation Liouville integrable systems related separability theory
2010/12/15
Bi-presymplectic chains of one-forms of arbitrary co-rank are considered. The conditions in which such chains represent some Liouville integrable systems and the conditions in which there exist relate...
Criteria excluding full separability of multi-qubit quantum states
Criteria excluding full separability multi-qubit quantum states
2010/10/20
We introduce a criterion to exclude full separability of quantum states. We present numerical evidence that the criterion is necessary and sufficient for the class of GHZ diagonal three-qubit states a...
The RCCN criterion of separability for states in infinite-dimensional quantum systems
The RCCN criterion of separability states infinite-dimensional quantum systems
2010/10/18
In this paper, the realignment criterion and the RCCN criterion of separability for states in infinite-dimensional bipartite quantum systems are established. Let HA and HB be complex Hilbert spaces wi...
The RCCN criterion of separability for states in infinite-dimensional quantum systems
Quantum state infinite-dimensional bipartite system entanglement
2010/12/15
In this paper, the realignment criterion and the RCCN criterion of separability for states in infinite-dimensional bipartite quantum systems are established. Let HA and HB be complex Hilbert spaces wi...
Conjugacy p-separability of right-angled Artin groups and applications
Conjugacy p-separability right-angled Artin groups applications
2010/12/9
We prove that every subgroup of p-power index in a right-angled Artin group is conjugacy p-separable. In particular, every right-angled Artin group is conjugacy p-separable. A consequence of this resu...
Twopartite, combinatorial approach to partial k-separability problem for general multipartite states
k-separability problem Twopartite
2010/3/10
We describe a general methods to localize any sort of k-separability and therefore also the corresponding partial entanglement in genuinely multipartite mixed quantum states. Our methods are based exc...
Statistical Separability of the World and Consistency
Between Quantum Theory, Relativity, and Causality
statistical separability
2007/8/15
2007Vol.47No.5pp.826-828DOI:
Statistical Separability of the World and Consistency
Between Quantum Theory, Relativity, and Causality
ZHANG Qi-Ren
Department of Technical...
Separability of Pure and Mixed States of the Quantum Network of
Four Nodes
covariance correlation tensor in quantum network theory
criterion of entanglement pure state mixed state
2007/8/15
2003Vol.40No.4pp.395-400DOI:
Separability of Pure and Mixed States of the Quantum Network of
Four Nodes
QIAN Shang-Wu1 and GU Zhi-Yu2
1 Physics Department, Peking Univ...
Canonical Form and Separability of PPT States in C2\otimes
C2\otimes C2 \otimes CN Composite Quantum Systems
separability quantum entanglement
2007/8/15
2003Vol.40No.5pp.515-518DOI:
Canonical Form and Separability of PPT States in C2\otimes
C2\otimes C2 \otimes CN Composite Quantum Systems
FEI Shao-Ming,1,2 GAO Xiu-Hong,1
WANG X...
Separability of Mixed States of the Quantum Network of Three Nodes
covariance correlation tensor in quantum network theory
criterion of entanglement mixed state
2007/8/15
2003Vol.40No.2pp.151-156DOI:
Separability of Mixed States of the Quantum Network of Three Nodes
GU Zhi-Yu1 and QIAN Shang-Wu2
1 Physics Department, Capital Normal Univer...
Separability of Pure States of the Quantum Network of Three Nodes
covariance correlation tensor in quantum network theory
criterion of entanglement pure state
2007/8/15
2003Vol.40No.1pp.33-38DOI:
Separability of Pure States of the Quantum Network of Three Nodes
GU Zhi-Yu1 and QIAN Shang-Wu2
1 Physics Department, Capital Normal Universit...