Necessary conditions for classifying m-separability of multipartite entanglements

• URL: http://arxiv.org/abs/2008.02730v1
• Date: Wed, 17 Jun 2020 09:52:04 GMT
• Title: Necessary conditions for classifying m-separability of multipartite entanglements
• Authors: Wen Xu, Chuan-Jie Zhu, Zhu-Jun Zheng and Shao-Ming Fei
• Abstract summary: We study the norms of the Bloch vectors for arbitrary $n$-partite quantum states. A tight upper bound of the norms is derived for $n$-partite systems with different individual dimensions. Necessary conditions are presented for $mathbf m$-separable states in $n$-partite quantum systems.
• Score: 2.432474327428777
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the norms of the Bloch vectors for arbitrary $n$-partite quantum states. A tight upper bound of the norms is derived for $n$-partite systems with different individual dimensions. These upper bounds are used to deal with the separability problems. Necessary conditions are presented for $\mathbf m$-separable states in $n$-partite quantum systems. Based on the upper bounds, classification of multipartite entanglement is illustrated with detailed examples.

Related papers

• Local unitary equivalence of absolutely maximally entangled states constructed from orthogonal arrays [0.0]
  This study concerns a class of highly entangled multipartite states, the so-called absolutely maximally entangled (AME) states. We show that there are infinitely many local unitary inequivalent three-party AME states for local dimension $d > 2$ and five-party AME states for $d geq 2$.
  arXiv  Detail & Related papers  (2024-11-06T18:22:23Z)
• Multipartite Embezzlement of Entanglement [44.99833362998488]
  Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via local operations and without communication. We show that finite-dimensional approximations of multipartite embezzling states form multipartite embezzling families. We discuss our results in the context of quantum field theory and quantum many-body physics.
  arXiv  Detail & Related papers  (2024-09-11T22:14:22Z)
• Entanglement and Bell inequalities violation in $H\to ZZ$ with anomalous coupling [44.99833362998488]
  We discuss entanglement and violation of Bell-type inequalities for a system of two $Z$ bosons produced in Higgs decays. We find that a $ZZ$ state is entangled and violates the inequality for all values of the pair (anomalous) coupling constant.
  arXiv  Detail & Related papers  (2023-07-25T13:44:31Z)
• Threshold size for the emergence of a classical-like behaviour [68.8204255655161]
  We design a procedure to estimate the minimum size beyond which a system is amenable to a classical-like description. The specific case of a magnetic system is considered, with details of a gedanken experiment presented and thoroughly commented.
  arXiv  Detail & Related papers  (2022-03-25T11:31:14Z)
• Lower Bound of $l_{1}$ Norm of Coherence of Bipartite Qubit-Qudit System and its Application in the Detection of Entangled Tripartite Qudit-Qubit-Qudit System [0.0]
  We study the entanglement detection problem for the detection of bipartite higher dimensional entangled states and multipartite entangled states. We find that if any $l_1$ norm of coherence of bipartite qubit-qudit system is greater than the upper bound $U$ then the given qubit-qudit state is entangled.
  arXiv  Detail & Related papers  (2022-03-24T06:34:33Z)
• Conditions for realizing one-point interactions from a multi-layer structure model [77.34726150561087]
  A heterostructure composed of $N$ parallel homogeneous layers is studied in the limit as their widths shrink to zero. The problem is investigated in one dimension and the piecewise constant potential in the Schr"odinger equation is given.
  arXiv  Detail & Related papers  (2021-12-15T22:30:39Z)
• Annihilating Entanglement Between Cones [77.34726150561087]
  We show that Lorentz cones are the only cones with a symmetric base for which a certain stronger version of the resilience property is satisfied. Our proof exploits the symmetries of the Lorentz cones and applies two constructions resembling protocols for entanglement distillation.
  arXiv  Detail & Related papers  (2021-10-22T15:02:39Z)
• Monotonic multi-state quantum $f$-divergences [0.0]
  We write down a class of multi-state quantum $f$-divergences and prove that they satisfy the data processing inequality. For two states, this class includes the $(alpha,z)$-R'enyi divergences, the $f$-divergences of Petz, and the measures in citematsumoto2015new as special cases. We conjecture that these multi-state R'enyi divergences have operational interpretations in terms of the optimal error probabilities in asymmetric multi-state quantum state discrimination.
  arXiv  Detail & Related papers  (2021-03-17T20:10:04Z)
• Detection of $k$-partite entanglement and $k$-nonseparability of multipartite quantum states [1.5125686694430571]
  Identifying the $k$-partite entanglement and $k$-nonseparability of general $N$-partite quantum states are fundamental issues in quantum information theory. We present some simple and powerful $k$-partite entanglement and $k$-nonseparability criteria that works very well.
  arXiv  Detail & Related papers  (2020-12-05T09:47:31Z)
• Scattering data and bound states of a squeezed double-layer structure [77.34726150561087]
  A structure composed of two parallel homogeneous layers is studied in the limit as their widths $l_j$ and $l_j$, and the distance between them $r$ shrinks to zero simultaneously. The existence of non-trivial bound states is proven in the squeezing limit, including the particular example of the squeezed potential in the form of the derivative of Dirac's delta function. The scenario how a single bound state survives in the squeezed system from a finite number of bound states in the finite system is described in detail.
  arXiv  Detail & Related papers  (2020-11-23T14:40:27Z)
• Strong superadditivity relations for multiqubit systems [0.0]
  General superadditivity inequalities are presented for multiqubit states. Our result is shown to be tighter than the existing one by a specific example.
  arXiv  Detail & Related papers  (2020-07-19T00:43:16Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.