Number-conserving fermionic shadow tomography estimates all k-body correlations in η-particle N-mode states using O_k(η^k/ε²) samples independent of N, with a matching Ω_k(η^k/ε²) lower bound for single-copy adaptive protocols.
hub
Title resolution pending
11 Pith papers cite this work, alongside 2,208 external citations. Polarity classification is still indexing.
11
Pith papers citing it
2,208
external citations · OpenAlex
hub tools
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
An explicit Q-algebra automorphism of symmetric functions, given by q-deformations of power sums, converts the S_n-equivariant Euler characteristics of stable map moduli spaces to those of ε-stable quasimap moduli spaces over Grassmannians.
Fröberg conjecture on Hilbert series of generic polynomial ideals holds in the second non-trivial degree for d>2 and up to degree 2d-1 for sufficiently many variables.
The Schur positivity pattern of nabla^r G(k,n) depends exclusively on whether k divides n, resolving Bergeron's open problem.
Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.
For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.
The slot decomposition of continuous Box-Ball Systems is a Poisson process when the weight function is in L1 under product measures on finite excursions.
K-theory rings of toric and flag varieties are realized as quotients of group algebras from linear families of virtual polytopes, yielding natural relations and descriptions of structure sheaf classes, including in the T-equivariant case.
Introduces type C isotropic Kalman varieties and computes their equations, invariants, and singularities as analogues of the type A case.
The authors connect k-coloured Motzkin paths to odd-height prefixes and supply a linear-time random generation algorithm.
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
citing papers explorer
-
Provably Efficient Learning of Fermionic Correlations under Particle-Number Symmetry
Number-conserving fermionic shadow tomography estimates all k-body correlations in η-particle N-mode states using O_k(η^k/ε²) samples independent of N, with a matching Ω_k(η^k/ε²) lower bound for single-copy adaptive protocols.
-
Motivic quasimap wall-crossing for Grassmannians
An explicit Q-algebra automorphism of symmetric functions, given by q-deformations of power sums, converts the S_n-equivariant Euler characteristics of stable map moduli spaces to those of ε-stable quasimap moduli spaces over Grassmannians.
-
Independence of generic forms and the Fr\"oberg conjecture
Fröberg conjecture on Hilbert series of generic polynomial ideals holds in the second non-trivial degree for d>2 and up to degree 2d-1 for sufficiently many variables.
-
Schur positivity of nabla on Petrie symmetric functions
The Schur positivity pattern of nabla^r G(k,n) depends exclusively on whether k divides n, resolving Bergeron's open problem.
-
Order polytopes of generalized snake posets are $h^*$-real-rooted
Proves the conjecture that Ehrhart h*-polynomials of order polytopes of generalized snake posets are real-rooted by connecting them to non-nesting rook polynomials.
-
Norm of infinite doubly stochastic matrices
For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.
-
Slot decomposition of continuous Box-Ball Systems
The slot decomposition of continuous Box-Ball Systems is a Poisson process when the weight function is in L1 under product measures on finite excursions.
-
Polyhedral models for K-theory of toric and flag varieties
K-theory rings of toric and flag varieties are realized as quotients of group algebras from linear families of virtual polytopes, yielding natural relations and descriptions of structure sheaf classes, including in the T-equivariant case.
-
Syzygies of Isotropic Kalman Varieties
Introduces type C isotropic Kalman varieties and computes their equations, invariants, and singularities as analogues of the type A case.
-
Random Generation of $k$-coloured Motzkin Paths
The authors connect k-coloured Motzkin paths to odd-height prefixes and supply a linear-time random generation algorithm.
-
Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.