4 citations · 10 across the 11 of their papers we have counts for
13 papers
Quantum super Schur--Weyl duality and character formulas for mirabolic Hecke algebras
Naihuan Jing, Ning Liu
We establish a quantum super Schur--Weyl duality for the mirabolic Hecke algebra \(H_n^{\mathrm{mir}}(q)\) with \(q\) indeterminate and determine the corresponding bimodule decompo…
Sharp State-Independent Uncertainty Relations for Multipartite systems
Yiling Wang, Naihuan Jing
Uncertainty relations constrain the fluctuations of incompatible observables, but most familiar bounds depend on the quantum state. State-independent uncertainty relations instead…
Unified monogamy and polygamy relations for multipartite systems
Yue Cao, Naihuan Jing, Kailash Misra +1
For a bipartite entanglement measure that satisfies the th-power monogamy inequality (Eq.~\eqref{e:chap1-ineq1}), and for its assisted counterpart …
Murnaghan-Nakayama rule for the cyclotomic Hecke algebra and applications
Naihuan Jing, Ning Liu
We establish a Murnaghan--Nakayama rule for the irreducible characters of the cyclotomic Hecke algebra on Shoji's standard elements. Combined with Shoji's d…
Superior monogamy and polygamy relations and estimates of concurrence
Yue Cao, Naihuan Jing, Kailash Misra +1
It is well known that any well-defined bipartite entanglement measure obeys th-monogamy relations Eq. (1.1) and assisted measure obeys th-poly…
Dual Murnaghan-Nakayama rule for Hecke algebras in Type
Naihuan Jing, Ning Liu, Yu Wu
Let be the value of the irreducible character of the Hecke algebra of the symmetric group on the conjugacy class of type . The usual Murnaghan-Nakayama rule provid…
Tighter bounds for generalized monogamy and polygamy relations
Yue Cao, Naihuan Jing, Yiling Wang
We study generalized monogamy and polygamy relations for concurrence of assistance and negativity of assistance using parametrized bounds in general multi-partite quantum systems.…
Tighter parameterized monogamy relations
Yue Cao, Naihuan Jing, Kailash Misra +1
We seek a systematic tightening method to represent the monogamy relation for some measure in multipartite quantum systems. By introducing a family of parametrized bounds, we obtai…
On a Pieri-like rule for the Petrie symmetric functions
Emma Yu Jin, Naihuan Jing, Ning Liu
A -ribbon tiling is a decomposition of a connected skew diagram into disjoint ribbons of size . In this paper, we establish a connection between a subset of -ribbon tiling…
Weighted monogamy and polygamy relations
Yue Cao, Naihuan Jing, Yiling Wang
This research offers a comprehensive approach to strengthening both monogamous and polygamous relationships within the context of quantum correlations in multipartite quantum syste…
A spin analog of the plethystic Murnaghan-Nakayama rule
Yue Cao, Naihuan Jing, Ning Liu
As a spin analog of the plethystic Murnaghan-Nakayama rule for Schur functions, the plethystic Murnaghan-Nakayama rule for Schur -functions is established with the help of the v…
Irreducible characters and bitrace for the -rook monoid
Naihuan Jing, Yu Wu, Ning Liu
This paper studies irreducible characters of the -rook monoid algebra using the vertex algebraic method. Based on the Frobenius formula for , a new iterative ch…
A multiparametric Murnaghan-Nakayama rule for Macdonald polynomials
Naihuan Jing, Ning Liu
We introduce a new family of operators as multi-parameter deformation of the one-row Macdonald polynomials. The matrix coefficients of these operators acting on the space of symmet…