Entanglement and maximal violation of the CHSH inequality in a system of two spins j: a novel construction and further observations

• URL: http://arxiv.org/abs/2301.09183v1
• Date: Sun, 22 Jan 2023 18:52:55 GMT
• Title: Entanglement and maximal violation of the CHSH inequality in a system of two spins j: a novel construction and further observations
• Authors: Giovani Peruzzo and Silvio Paolo Sorella
• Abstract summary: We study the CHSH inequality for a system of two spin $j$ particles, for generic $j$. Being $left|psi_srightrangle $ an entangled state, a violation of the CHSH inequality compatible with Tsirelson's bound is found.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the CHSH inequality for a system of two spin $j$ particles, for generic $j$. The CHSH operator is constructed using a set of unitary, Hermitian operators $\left\{ A_{1},A_{2},B_{1},B_{2}\right\} $. The expectation value of the CHSH operator is analyzed for the singlet state $\left|\psi_{s}\right\rangle $. Being $\left|\psi_{s}\right\rangle $ an entangled state, a violation of the CHSH inequality compatible with Tsirelson's bound is found. Although the construction employed here differs from that of [1], full agreement is recovered.

Related papers

• Dimension Independent Disentanglers from Unentanglement and Applications [55.86191108738564]
  We construct a dimension-independent k-partite disentangler (like) channel from bipartite unentangled input. We show that to capture NEXP, it suffices to have unentangled proofs of the form $| psi rangle = sqrta | sqrt1-a | psi_+ rangle where $| psi_+ rangle has non-negative amplitudes.
  arXiv  Detail & Related papers  (2024-02-23T12:22:03Z)
• A Unified Framework for Uniform Signal Recovery in Nonlinear Generative Compressed Sensing [68.80803866919123]
  Under nonlinear measurements, most prior results are non-uniform, i.e., they hold with high probability for a fixed $mathbfx*$ rather than for all $mathbfx*$ simultaneously. Our framework accommodates GCS with 1-bit/uniformly quantized observations and single index models as canonical examples. We also develop a concentration inequality that produces tighter bounds for product processes whose index sets have low metric entropy.
  arXiv  Detail & Related papers  (2023-09-25T17:54:19Z)
• Constructions of $k$-uniform states in heterogeneous systems [65.63939256159891]
  We present two general methods to construct $k$-uniform states in the heterogeneous systems for general $k$. We can produce many new $k$-uniform states such that the local dimension of each subsystem can be a prime power.
  arXiv  Detail & Related papers  (2023-05-22T06:58:16Z)
• Entangled coherent states and violations of Bell-CHSH inequalities [0.0]
  Three classes of entangled coherent states are employed to study the Bell-CHSH inequality. We compute the correlator $langle psi vert A B + A' B + A' B + A B' - A' B' vert psi rangle$, analyzing the set of parameters that leads to a Bell-CHSH inequality violation.
  arXiv  Detail & Related papers  (2023-05-08T12:51:01Z)
• A study of the violation of the Bell-CHSH inequality through a pairing mechanism [0.5439020425819]
  The violation of the Bell-CHSH inequality for bipartite systems is discussed. We use the pseudospin operators which enable us to group all modes of the Hilbert space of the system in pairs.
  arXiv  Detail & Related papers  (2023-02-05T14:06:06Z)
• 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)
• Robust violation of a multipartite Bell inequality from the perspective of a single-system game [0.0]
  We map the inequality to the CHSH game, and consequently to the CHSH* game in a single-qubit system. We show that the degeneracy of the generalized CHSH operators correspond to the symmetry of the maximally entangled two-qubit states.
  arXiv  Detail & Related papers  (2022-02-12T04:30:18Z)
• Optimal Spectral Recovery of a Planted Vector in a Subspace [80.02218763267992]
  We study efficient estimation and detection of a planted vector $v$ whose $ell_4$ norm differs from that of a Gaussian vector with the same $ell$ norm. We show that in the regime $n rho gg sqrtN$, any spectral method from a large class (and more generally, any low-degree of the input) fails to detect the planted vector.
  arXiv  Detail & Related papers  (2021-05-31T16:10:49Z)
• 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)
• An Optimal Separation of Randomized and Quantum Query Complexity [67.19751155411075]
  We prove that for every decision tree, the absolute values of the Fourier coefficients of a given order $ellsqrtbinomdell (1+log n)ell-1,$ sum to at most $cellsqrtbinomdell (1+log n)ell-1,$ where $n$ is the number of variables, $d$ is the tree depth, and $c>0$ is an absolute constant.
  arXiv  Detail & Related papers  (2020-08-24T06:50:57Z)
• Uncertainty Relations of Variances in View of the Weak Value [1.1699566743796068]
  We show that there is another inequality which underlies the Schr"odinger inequality in the same sense. The decomposition of the Schr"odinger inequality is examined more closely to analyze its structure and the minimal uncertainty states.
  arXiv  Detail & Related papers  (2020-08-07T11:45:43Z)

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.