Quantum Entanglement without Spin-Analyzing Power Dependence at the Colliders

• URL: http://arxiv.org/abs/2510.08031v1
• Date: Thu, 09 Oct 2025 10:10:14 GMT
• Title: Quantum Entanglement without Spin-Analyzing Power Dependence at the Colliders
• Authors: Junle Pei, Tianjun Li, Lina Wu, Xiqing Hao, Xiaochuan Wang,
• Abstract summary: We study the quantum entanglement at the colliders which is independent of the spin-analyzing powers.<n>We investigate whether quantum entanglement in fermion pairs produced at colliders can be certified by using only angular information.
• Score: 4.031184371571695
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the quantum entanglement at the colliders which is independent of the spin-analyzing powers. Taking $\Lambda(\to p\pi^-)\bar{\Lambda}(\to \bar{p}\pi^+)$ as an example, we investigate whether quantum entanglement in fermion pairs produced at colliders can be certified by using only angular information from final-state decays, while remaining independent of the parity-violating decay parameters $\alpha_\Lambda$ and $\alpha_{\bar{\Lambda}}$. Building on a general decomposition of any angular observable in terms of Wigner d-functions, we show that the expectation value must take the form $\mathcal{O}_0+\mathcal{O}_1\alpha_\Lambda+\mathcal{O}_2\alpha_{\bar{\Lambda}}+\mathcal{O}_3\alpha_\Lambda\alpha_{\bar{\Lambda}}$, with coefficients $\mathcal{O}_i$ ($i=0,1,2,3$) linear in the spin-density matrix elements $\alpha_{k,j}\alpha^*_{m,n}$. We obtain the value ranges of observables over the general and separable spaces of $\alpha_{k,j}$, and demonstrate a sufficient entanglement condition for pure states, extending it to mixed states by convexity. In constructing an $\alpha_\Lambda$- and $\alpha_{\bar{\Lambda}}$-independent witness from angular observables alone, we find that there are obstacles to probe quantum entanglement via the inequality-type and ratio-type ways. Finally, we present the successful constructions with additional spin information: for the process of $e^+e^-\to J/\Psi\to \Lambda\bar{\Lambda}$ at $e^+ e^-$ collider, independent spin information provided by beam-axis selection enables the construction of normalized observables $f_i~(i=1,2)$ that are insensitive to $\alpha_\Lambda$ and $\alpha_{\bar{\Lambda}}$; if their measured values lie in $\left[-1,-\tfrac{1}{2}\right)\cup\left(\tfrac{1}{2},1\right]$, entanglement is certified, irrespective of purity or mixedness.

Related papers

• Multiphoton Interference with a symmetric SU(N) beam splitter and the generalization of the extended Hong-Ou-Mandel effect [0.0]
  Multiphoton interference with a symmetric $SU(N)$ beam splitter $S_N$ is studied.<n>We develop a constraint equation for Perm()$ for arbitrary $N$ that allows us to determine when it is zero.<n>The emphasis of this work is on how the overall destructive interference occurs in separate groups of sub-amplitudes of the total zero amplitude.
  arXiv  Detail & Related papers  (2026-01-06T20:16:13Z)
• Spectral Gaps with Quantum Counting Queries and Oblivious State Preparation [47.600794349481966]
  In this work, we present a quantum algorithm which approximates values up to additive error $epsilonDelta_k$ using a logarithmic number of qubits.<n>A key technical step in the analysis is the preparation of a suitable random initial state, which ultimately allows us to efficiently count the number of eigenvalues that are smaller than a threshold.
  arXiv  Detail & Related papers  (2025-08-28T17:04:18Z)
• On the analytical approach to infinite-mode Boson-Gaussian states [0.0]
  We use Yosida approximations to define integrability of possibly unbounded observables with respect to a state $rho$ ($rho$-integrability)<n>It turns out that all elements of the commutative $*$-algebra generated by a possibly unbounded $rho$-integrable observable $A$, denoted by $langle Arangle$, are normal and $rho, $-integrable.
  arXiv  Detail & Related papers  (2025-06-05T01:07:01Z)
• 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)
• Probing entanglement and testing Bell inequality violation with $\textrm{e}^{+}\textrm{e}^{-} \rightarrow \tau^{+}\tau^{-}$ at Belle II [0.0]
  We analyze events in which both $tau$ leptons decay to hadrons. We expect the observation of quantum entanglement and Bell inequality violation by the Belle-II experiment will be possible.
  arXiv  Detail & Related papers  (2023-11-29T11:39:05Z)
• Quantum connection, charges and virtual particles [65.268245109828]
  A quantum bundle $L_hbar$ is endowed with a connection $A_hbar$ and its sections are standard wave functions $psi$ obeying the Schr"odinger equation. We will lift the bundles $L_Cpm$ and connection $A_hbar$ on them to the relativistic phase space $T*R3,1$ and couple them to the Dirac spinor bundle describing both particles and antiparticles.
  arXiv  Detail & Related papers  (2023-10-10T10:27:09Z)
• 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)
• Near-optimal fitting of ellipsoids to random points [68.12685213894112]
  A basic problem of fitting an ellipsoid to random points has connections to low-rank matrix decompositions, independent component analysis, and principal component analysis. We resolve this conjecture up to logarithmic factors by constructing a fitting ellipsoid for some $n = Omega(, d2/mathrmpolylog(d),)$. Our proof demonstrates feasibility of the least squares construction of Saunderson et al. using a convenient decomposition of a certain non-standard random matrix.
  arXiv  Detail & Related papers  (2022-08-19T18:00:34Z)
• Quantum particle in a spherical well confined by a cone [0.0]
  We consider the quantum problem of a particle in either a spherical box or a finite spherical well confined by a circular cone. The angular parts of the eigenstates depend on azimuthal angle $varphi$ and polar angle $theta$ as $P_lambdam(costheta)rm eimvarphi$.
  arXiv  Detail & Related papers  (2022-07-04T15:32:41Z)
• Emergent universality in critical quantum spin chains: entanglement Virasoro algebra [1.9336815376402714]
  Entanglement entropy and entanglement spectrum have been widely used to characterize quantum entanglement in extended many-body systems. We show that the Schmidt vectors $|v_alpharangle$ display an emergent universal structure, corresponding to a realization of the Virasoro algebra of a boundary CFT.
  arXiv  Detail & Related papers  (2020-09-23T21:22:51Z)
• Quantum Coupon Collector [62.58209964224025]
  We study how efficiently a $k$-element set $Ssubseteq[n]$ can be learned from a uniform superposition $|Srangle of its elements. We give tight bounds on the number of quantum samples needed for every $k$ and $n$, and we give efficient quantum learning algorithms.
  arXiv  Detail & Related papers  (2020-02-18T16:14:55Z)
• Anisotropy and asymptotic degeneracy of the physical-Hilbert-space inner-product metrics in an exactly solvable crypto-unitary quantum model [0.0]
  In quantum mechanics only the knowledge of a complete set of observables $Lambda_j$ enables us to declare the related physical inner product. In our present paper we describe a strictly non-numerical $N$ by $N$ matrix model in which such a restriction is replaced by another.
  arXiv  Detail & Related papers  (2012-12-04T14:22:48Z)

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.