arXiv subjects

Wen-Jun Li

Publications and source records attributed to Wen-Jun Li.

11 recordsLinked to original sources

arXiv2026

LLMs Interpret, Embeddings Organize, Graphs Emerge: Agent-Driven Compilation of Scientific Knowledge

Sustained scientific work requires a knowledge substrate that carries interpretation across tasks and preserves paths to source evidence. We call this process \emph{scientific knowledge compilation} and implement it in ASKS, the \emph{Agent-Driven Scientific Knowledge System}. For each source, an LLM produces a readable Wiki view and machine-facing semantics. Deterministic checks convert the latter into a document-local GraphDelta, and embedding geometry together with explicit graph rules integrates the proposed changes into persistent state. Each ingest is an inspectable state transition over accumulated knowledge, with compiled Wiki and graph views linked to the preserved source record. We examine this process by chronologically compiling 56 published papers from one research program. Branch survival, cross-paper support, lineage, coverage, and churn yield a source-traceable author research portrait centered on tensor-network methods, with branches into quantum many-body research, tensor-network machine learning, and quantum-AI-oriented directions. In this run, higher-level Hub organization remains stable and low-churn. Canonical-node growth is predominantly additive. Graph-level measurements and navigation paths retain links to the source records from which they were compiled.

cs.AI↗

arXiv2026

Comments on "Unified neutrino mixing and approximate $\mu-\tau$ reflection symmetry" (Mod. Phys. Lett. A, 40 (2025) 26, 2550097 [arXiv:2502.18029 [hep-ph]])

Resolving mass ordering is an important issue in the neutrino physics. In Ref.\cite{yt} the authors investigate the phenomenology of a unified neutrino mixing framework and reveal that the predicted sum of neutrino masses derived from an approximate $\mu-\tau$ reflection symmetric flavor neutrino mass matrix based on the unified neutrino mixing with an inverted mass ordering, is excluded from DESI2024 and Supernova Ia luminosity distance data. We note that in Ref.\cite{yt} an error is present in Eq.(20), {\it i.e.}, the expression for $ M_{23}^{\mu-\tau} $, a similar error also appears in Eq.(26) for $M_{13}^{\mu-\tau}$. That is, the condition that $M_{ee}$ and $M_{\mu\tau}$ are real is omitted. We impose this condition and analyze its consequences. Using the newest data\cite{azz}, it is obtained that the predicted sm derived from the approximate $\mu-\tau$ reflection symmetric neutrino mass matrices $M_{23}$ for both NO and IO are allowed. We note also that their conclusion is invalid, as it is based on outdated data.

hep-ph↗

arXiv2026

Matrix-product entanglement characterizing the optimality of state-preparation quantum circuits

Multipartite entanglement offers a powerful framework for understanding the complex collective phenomena in quantum many-body systems that are often beyond the description of conventional bipartite entanglement measures. Here, we propose a class of multipartite entanglement measures that incorporate the matrix product state (MPS) representation, enabling the characterization of the optimality of quantum circuits for state preparation. These measures are defined as the minimal distances from a target state to the manifolds of MPSs with specified virtual bond dimensions $χ$, and thus are dubbed as $χ$-specified matrix product entanglement ($χ$-MPE). We demonstrate superlinear, linear, and sublinear scaling behaviors of $χ$-MPE with respect to the negative logarithmic fidelity $F$ in state preparation, which correspond to excessive, optimal, and insufficient circuit depth $D$ for preparing $χ$-virtual-dimensional MPSs, respectively. Specifically, a linearly-growing $χ$-MPE with $F$ suggests $\mathcal{H}_χ \simeq \mathcal{H}_{D}$, where $\mathcal{H}_χ$ denotes the manifold of the $χ$-virtual-dimensional MPSs and $\mathcal{H}_{D}$ denotes that of the states accessible by the $D$-layer circuits. We provide an exact proof that $\mathcal{H}_{χ=2} \equiv \mathcal{H}_{D=1}$. Our results establish tensor networks as a powerful and general tool for developing parametrized measures of multipartite entanglement. The matrix product form adopted in $χ$-MPE can be readily extended to other tensor network ansätze, whose scaling behaviors are expected to assess the optimality of quantum circuit in preparing the corresponding tensor network states.

quant-ph↗

arXiv2022

Investigation of a kind of neutrino mass matrix

We carry out diagonalization of a kind of Majorana neutrino mass matrix $M=M_νM_ν^\dagger$ of which Real part and Imaginary part are commutative. For the kind of matrix M, it is shown in a model-independent way that $δ= \pmπ/2$ which implies the maximal strength of CP violation in neutrino oscillations and atmospherical mixing angle would be in the ranges, $π/4 < θ_{23} < 3π/4$, or $-3π/4<θ_{23} < - π/4$. It is shown that the kind of Hermitian Majorana neutrino mass matrix M has only five real parameters and furthermore, only one free real parameter (A or D) if using the measured values of three mixing angles and mass squared differences as inputs.

hep-ph↗

arXiv2021

User-item matching for recommendation fairness

As we all know, users and item-providers are two main parties of participants in recommender systems. However, most existing research efforts on recommendation were focused on better serving users and overlooked the purpose of item-providers. This paper is devoted to improve the item exposure fairness for item-providers' objective, and keep the recommendation accuracy not decreased or even improved for users' objective. We propose to set stock volume constraints on items, to be specific, limit the maximally allowable recommended times of an item to be proportional to the frequency of its being interacted in the past, which is validated to achieve superior item exposure fairness to common recommenders and thus mitigates the Matthew Effect on item popularity. With the two constraints of pre-existing recommendation length of users and our stock volumes of items, a heuristic strategy based on normalized scores and a Minimum Cost Maximum Flow (MCMF) based model are proposed to solve the optimal user-item matching problem, whose accuracy performances are even better than that of baseline algorithm in regular recommendation context, and in line with state-of-the-art enhancement of the baseline. What's more, our MCMF based strategy is parameter-free, while those counterpart algorithms have to resort to parameter traversal process to achieve their best performance.

cs.IR↗

arXiv2017

E6 GUT through Effects of Dimension-5 Operators

In the effective field theory framework, quantum gravity can induce effective dimension-5 operators, which have important impacts on grand unified theories. Interestingly, one of main effects is the modification of the usual gauge coupling unification condition. We investigate the gauge coupling unification in $E_{6}$ under modified gauge coupling unification condition at scales $M_X$ in the presence of one or more dimension-5 operators. It is shown that nonsupersymmetric models of $E_6$ unification can be obtained and can easily satisfy the constraints from the proton lifetime. For constructing these models, we consider several maximal subgroups $H=SO(10)\times U(1), H=SU(3)\times SU(3)\times SU(3)$, and $H=SU(2)\times SU(6)$ of $E_{6}$ and the usual breaking chains for a specific maximal subgroup, and derive all of the Clebsch-Gordan coefficients $Φ^{(r)}_{s,z}$ associated with $E_6$ breaking to the Standard Model, which are given in Appendix A.

hep-ph↗

arXiv2010

The double charm decays of B Mesons in the mSUGRA model

Based on the low energy effective Hamiltonian with naive factorization, we calculate the branching ratios(BRs) and CP asymmetries (CPAs) for the twenty three double charm decays $B/B_s \to D^{(*)}_{(s)} D^{(*)}_{(s)}$ in both the standard model (SM) and the minimal supergravity (mSUGRA) model. Within the considered parameter space, we find that (a) the theoretical predictions for the BRs, CPAs and the polarization fractions in the SM and the mSUGRA model are all consistent with the currently available data within $\pm 2σ$ errors; (b) For all the considered decays, the supersymmetric contributions in the mSUGRA model are very small, less than $7\%$ numerically. It may be difficult to observe so small SUSY contributions even at LHC.

hep-ph↗

arXiv2010

Lepton Flavor Violating $τ$ Decays in Two Higgs Doublet Model III

We study the lepton flavor violating processes of $τ^-\toμ^-PP$ decays with $PP=K^+K^-,K^0\bar{K}^0,π^+π^-,π^0π^0$ in the framework of two Higgs doublet model III by virtue of the Chiral Perturbation Theory. In this model, only three neutral Higgs bosons contribute to these decays. With the current experimental constraints, we show that (a) the contributions of $|λ_{uu(dd)}|$ term are very small for these four decays; (b) we get the correlation between $|λ_{ss}|$ and $|λ_{τμ}|$. For $|λ_{τμ}| \sim 10-400$, one has $|λ_{ss}|\sim 40-1$; (c) in the existing model parameter space, $Br(τ^- \to μ^- K^+K^-)$ could reach the order of ${\cal O}(10^{-8})$, but $Br(τ\to μ^- π^+π^-/π^0π^0)$ are too small to be observed.

hep-ph↗

arXiv2004

Exclusive Semileptonic Rare Decays $B \to K^{(*)} l^+ l^-$ in a SUSY SO(10) GUT

In the SUSY SO(10) GUT context, we study the exclusive processes $B \to K^{(*)} l^+l^-(l=μ,τ)$. Using the Wilson coefficients of relevant operators including the new operators $Q_{1,2}^{(\prime)}$ which are induced by neutral Higgs boson (NHB) penguins, we evaluate some possible observables associated with these processes like, the invariant mass spectrum (IMS), lepton pair forward backward asymmetry (FBA), lepton polarization asymmetries etc. In this model the contributions from Wilson coefficients $C_{Q_{1,2}}^\prime$, among new contributions, are dominant. Our results show that the NHB effects are sensitive to the FBA, $dL/d\hat{s}$, and $dT/d\hat{s}$ of $B \to K^{(*)} τ^+ τ^-$ decay, which are expected to be measured in B factories, and the average of the normal polarization $dN/d\hat{s}$ can reach several percent for $B \to K μ^+ μ^-$ and it is 0.05 or so for $B\to K τ^+τ^-$, which could be measured in the future super B factories and provide a useful information to probe new physics and discriminate different models.

hep-ph↗

arXiv2004

CP asymmetry in B \to phi K_S in a SUSY SO(10) GUT

We study the $B\to ϕK_S$ decay in a SUSY SO(10) GUT. We calculate the mass spectrum of sparticles for a given set of parameters at the GUT scale. We complete the calculations of the Wilson coefficients of operators including the new operators which are induced by NHB penguins at LO using the MIA with double insertions. It is shown that the recent experimental results on the time-dependent CP asymmetry $S_{ϕK}$ in $B\to ϕK_S$, which is negative and can not be explained in SM, can be explained in the model where there are flavor non-diagonal right-handed down squark mass matrix elements of 2nd and 3rd generations whose size satisfies all relevant constraints from known experiments ($τ\to μγ$, $B\to X_Sγ, B_s\to μ^+μ^-, B\to X_s μ^+μ^-, B\to X_s g, ΔM_s$, etc.). At the same time, the branching ratio for the decay can also be in agreement with experimental measurements.

hep-ph↗

arXiv2003

CP violation in $B_{d,s} \to l^+l^-$ in the model III 2HDM

We have calculated the Wilson coefficients $C_{10}, C_{Q_i}$ (i=1,2) in the $\bar{MS}$ renormalization scheme in the model III 2HDM. Using the obtained Wilson coefficients, we have analyzed the CP violation in decays $B^0_q\to l^+l^-$ (q=d,s) in the model. The CP asymmetry, $A_{CP}$, depends on the parameters of models and $A_{CP}$ in $B_d\to l^+l^-$ can be as large as 40% and 35% for $l=τ$ and $l=μ$ respectively. It can reach 4% for $B^0_s$ decays. Because in SM CP violation is smaller than or equal to O($10^{-3}$) which is unobservably small, an observation of CP asymmetry in the decays $B^0_q \to l^+l^- (q=d,s)$ would unambiguously signal the existence of new physics.

hep-ph↗