Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles

• URL: http://arxiv.org/abs/2209.13990v3
• Date: Tue, 18 Apr 2023 15:29:07 GMT
• Title: Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles
• Authors: Rachel Ashby-Pickering, Alan J. Barr, Agnieszka Wierzchucka
• Abstract summary: The method is based on a Bloch parameterisation of the $d$-dimensional generalised Gell-Mann representation of $rho$. The Wigner $P$ and $Q$ symbols are calculated for the cases of spin-half, spin-one, and spin-3/2 systems. The methods are used to examine Monte Carlo simulations of $pp$ collisions for bipartite systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A rather general method for determining the spin density matrix of a multi-particle system from angular decay data is presented. The method is based on a Bloch parameterisation of the $d$-dimensional generalised Gell-Mann representation of $\rho$ and exploits the associated Wigner- and Weyl-transforms on the sphere. Each parameter of a (possibly multipartite) spin density matrix can be measured from a simple average over an appropriate set of experimental angular decay distributions. The general procedures for both projective and non-projective decays are described, and the Wigner $P$ and $Q$ symbols calculated for the cases of spin-half, spin-one, and spin-3/2 systems. The methods are used to examine Monte Carlo simulations of $pp$ collisions for bipartite systems: $pp\rightarrow W^+W^-$, $pp\rightarrow ZZ$, $pp\rightarrow ZW^+$, $pp\rightarrow W^+\bar{t}$, $t\bar{t}$, and those from the Higgs boson decays $H\rightarrow WW^{*}$ and $H\rightarrow ZZ^*$. Measurements are proposed for entanglement detection, exchange symmetry detection and Bell inequality violation in bipartite systems.

Related papers

• Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks [54.177130905659155]
  Recent studies show that a reproducing kernel Hilbert space (RKHS) is not a suitable space to model functions by neural networks. In this paper, we study a suitable function space for over- parameterized two-layer neural networks with bounded norms.
  arXiv  Detail & Related papers  (2024-04-29T15:04:07Z)
• Typical entanglement entropy in systems with particle-number conservation [3.9617282900065853]
  We calculate the typical bipartite entanglement entropy $langle S_Arangle_N$ in systems containing indistinguishable particles of any kind. We provide evidence that our results describe the entanglement entropy of highly excited eigenstates of quantum-chaotic spin and boson systems.
  arXiv  Detail & Related papers  (2023-10-30T18:00:00Z)
• Quantum tomography of helicity states for general scattering processes [65.268245109828]
  Quantum tomography has become an indispensable tool in order to compute the density matrix $rho$ of quantum systems in Physics. We present the theoretical framework for reconstructing the helicity quantum initial state of a general scattering process.
  arXiv  Detail & Related papers  (2023-10-16T21:23:42Z)
• 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)
• Effective Minkowski Dimension of Deep Nonparametric Regression: Function Approximation and Statistical Theories [70.90012822736988]
  Existing theories on deep nonparametric regression have shown that when the input data lie on a low-dimensional manifold, deep neural networks can adapt to intrinsic data structures. This paper introduces a relaxed assumption that input data are concentrated around a subset of $mathbbRd$ denoted by $mathcalS$, and the intrinsic dimension $mathcalS$ can be characterized by a new complexity notation -- effective Minkowski dimension.
  arXiv  Detail & Related papers  (2023-06-26T17:13:31Z)
• Laboratory-frame tests of quantum entanglement in $H \to WW$ [0.0]
  Quantum entanglement between the two $W$ bosons resulting from the decay of a Higgs boson may be investigated in the dilepton channel $H to WW to ell nu ell nu$ The dilepton invariant mass distribution, already measured by the ATLAS and CMS Collaborations at the LHC, can be used to observe the quantum entanglement of the $WW$ pair.
  arXiv  Detail & Related papers  (2022-09-28T12:22:12Z)
• Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle [0.0]
  We consider a general quantum field relativistic scattering involving two half spin fermions, $A$ and $B$. In particular we study an inelastic QED process at tree-level, namely $e-e+rightarrow mu- mu+$ and a half spin fermion $C$ as a spectator particle.
  arXiv  Detail & Related papers  (2021-12-02T14:51:45Z)
• Average-fluctuation separation in energy levels in many-particle quantum systems with $k$-body interactions using $q$-Hermite polynomials [0.0]
  Separation between average and fluctuation in the state density in many-particle quantum systems is shown. The smoothed state density is represented by the $q$-normal distribution ($f_qN$) which is the weight function for $q$-Hermites. As the rank of interaction $k$ increases, the fluctuations set in with smaller order of corrections in the smooth state density.
  arXiv  Detail & Related papers  (2021-11-23T17:45:57Z)
• Ultracold spin-balanced fermionic quantum liquids with renormalized $P$-wave interactions [0.0]
  We consider a spin-balanced degenerate gas of spin-1/2 fermions governed by low-energy $P$-wave interactions. The energy per particle $barcalE$ in the many-body system is calculated by resumming the ladder diagrams.
  arXiv  Detail & Related papers  (2021-07-16T18:00:01Z)
• Mapping the charge-dyon system into the position-dependent effective mass background via Pauli equation [77.34726150561087]
  This work aims to reproduce a quantum system composed of a charged spin - $1/2$ fermion interacting with a dyon with an opposite electrical charge.
  arXiv  Detail & Related papers  (2020-11-01T14:38:34Z)
• Sample Complexity of Asynchronous Q-Learning: Sharper Analysis and Variance Reduction [63.41789556777387]
  Asynchronous Q-learning aims to learn the optimal action-value function (or Q-function) of a Markov decision process (MDP) We show that the number of samples needed to yield an entrywise $varepsilon$-accurate estimate of the Q-function is at most on the order of $frac1mu_min (1-gamma)5varepsilon2+ fract_mixmu_min (1-gamma)$ up to some logarithmic factor.
  arXiv  Detail & Related papers  (2020-06-04T17:51:00Z)

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.