Separability inequalities on N-qudit correlations exponentially stronger than local reality inequalities

• URL: http://arxiv.org/abs/2001.11687v1
• Date: Fri, 31 Jan 2020 07:44:28 GMT
• Title: Separability inequalities on N-qudit correlations exponentially stronger than local reality inequalities
• Authors: S. M. Roy
• Abstract summary: I derive separability inequalities for Bell correlations of observables in arbitrary pure or mixed $N$ Qudit states in $DN$-dimensional state space. I find states (a continuum of states if $D>3$) including maximally entangled states which violate these inequalities by a factor $2N-1$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: I derive separability inequalities for Bell correlations of observables in arbitrary pure or mixed $N$ Qudit states in $D^N$-dimensional state space. I find states (a continuum of states if $D>3$) including maximally entangled states which violate these inequalities by a factor $2^{N-1}$ ; local reality Bell inequalities are much weaker, their maximum violation being by a factor $2^{(N-1)/2}$. The separability inequalities allow tests of entanglement of unknown states using only the measured correlations .

Related papers

• Multipartite entanglement vs nonlocality for two families of $N$-qubit states [0.0]
  Quantum states of multiple qubits can violate Bell-type inequalities when there is entanglement between the qubits, indicating nonlocal behaviour of correlations. We analyze the relation between multipartite entanglement and genuine multipartite nonlocality, characterized by Svetlichny inequality violations, for two families of $N-$qubit states.
  arXiv  Detail & Related papers  (2024-09-17T04:51:41Z)
• Towards Necessary and sufficient state condition for violation of a multi-settings Bell inequality [0.0]
  We develop a Horodecki-like criterion based on the state parameters of arbitrary two-qudit states to violate a two-outcome Bell inequality. While the proposed criterion is sufficient to violate the Bell inequality, it becomes necessary as well for the following cases.
  arXiv  Detail & Related papers  (2024-08-19T18:45:07Z)
• Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras [41.94295877935867]
  We study the quantum information theoretic task of embezzlement of entanglement in the setting of von Neumann algebras. We quantify the performance of a given resource state by the worst-case error. Our findings have implications for relativistic quantum field theory, where type III algebras naturally appear.
  arXiv  Detail & Related papers  (2024-01-14T14:22:54Z)
• 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)
• Concentration bounds for quantum states and limitations on the QAOA from polynomial approximations [17.209060627291315]
  We prove concentration for the following classes of quantum states: (i) output states of shallow quantum circuits, answering an open question from [DPMRF22]; (ii) injective matrix product states, answering an open question from [DPMRF22]; (iii) output states of dense Hamiltonian evolution, i.e. states of the form $eiota H(p) cdots eiota H(1) |psirangle for any $n$-qubit product state $|psirangle$, where each $H(
  arXiv  Detail & Related papers  (2022-09-06T18:00:02Z)
• Violation of general Bell inequalities by a pure bipartite quantum state [0.0]
  We derive for a pure bipartite quantum state a new upper bound on its maximal violation of general Bell inequalities. We show that, for each of these bipartite coherent states, the maximal violation of general Bell inequalities cannot exceed the value $3$.
  arXiv  Detail & Related papers  (2021-10-17T16:06:33Z)
• Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems [7.0833780140057945]
  We consider a multiphoton Bell-type inequality to study nonlocality in four-mode continuous variable systems. We apply the inequality to a wide variety of states such as pure and mixed Gaussian states and non-Gaussian states.
  arXiv  Detail & Related papers  (2020-08-19T13:25:09Z)
• Constructions of $k$-uniform states from mixed orthogonal arrays [18.378398718548016]
  We study $k$-uniform states in heterogeneous systems whose local dimensions are mixed. We present two constructions of $2$-uniform states in heterogeneous systems. We show that some $k$-uniform bases can not be distinguished by local operations and classical communications.
  arXiv  Detail & Related papers  (2020-06-07T08:35:22Z)
• Entanglement as upper bounded for the nonlocality of a general two-qubit system [16.676050048472963]
  We systematically investigate the relationship between entanglement and nonlocality of a general two-qubit system. We find that the nonlocality of two different two-qubit states can be optimally stimulated by the same nonlocality test setting.
  arXiv  Detail & Related papers  (2020-04-17T16:42:27Z)
• Constructing Multipartite Bell inequalities from stabilizers [21.98685929768227]
  We propose a systematical framework to construct Bell inequalities from stabilizers maximally violated by general stabilizer states. We show that the constructed Bell inequalities can self-test any stabilizer state which is essentially device-independent. Our framework can not only inspire more fruitful multipartite Bell inequalities from conventional verification methods, but also pave the way for their practical applications.
  arXiv  Detail & Related papers  (2020-02-05T16:07:11Z)
• Minimal scenario facet Bell inequalities for multi-qubit states [0.0]
  Facet inequalities play an important role in detecting the nonlocality of a quantum state. With the increase in the number of parties, measurement outcomes, or/and the number of measurement settings, there are more nontrivial facet inequalities. We show that for noisy W states, our inequality is more effective than the well-known Mermin inequality.
  arXiv  Detail & Related papers  (2018-09-15T14:54:43Z)

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.