Giovanni Ferrari,Ludovico Lami,Thomas Theurer et al.
Giovanni Ferrari et al.
We study asymptotic state transformations in continuous variable quantum resource theories. In particular, we prove that monotones displaying lower semicontinuity and strong superadditivity can be used to bound asymptotic transformation rat...
Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates [0.03%]
一种非克利福德门数量与系统规模无关的高效酉设计算法
J Haferkamp,F Montealegre-Mora,M Heinrich et al.
J Haferkamp et al.
Many quantum information protocols require the implementation of random unitaries. Because it takes exponential resources to produce Haar-random unitaries drawn from the full n-qubit group, one often resorts to t-designs. Unitary t-designs ...
Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval [0.03%]
关于区间扩张映射的李雅普诺夫指数的精确界值研究
M Pollicott,P Vytnova
M Pollicott
In this short note we describe a simple but remarkably effective method for rigorously estimating Lyapunov exponents for expanding maps of the interval. We illustrate the applicability of this method with some standard examples. ...
Linxiao Chen,Joonas Turunen
Linxiao Chen
In Chen and Turunen (Commun Math Phys 374(3):1577-1643, 2020), we have studied the Boltzmann random triangulation of the disk coupled to an Ising model on its faces with Dobrushin boundary condition at its critical temperature. In this pape...
Michele Del Zotto,Nikita Nekrasov,Nicolò Piazzalunga et al.
Michele Del Zotto et al.
Motivated by M-theory, we study rank n K-theoretic Donaldson-Thomas theory on a toric threefold X. In the presence of compact four-cycles, we discuss how to include the contribution of D4-branes wrapping them. Combining this with a simple a...
Lars Andersson,Thomas Bäckdahl,Pieter Blue et al.
Lars Andersson et al.
In this paper, we introduce and explore the properties of a new gauge choice for the vacuum Einstein equation inspired by the ingoing and outgoing radiation gauges (IRG, ORG) for the linearized vacuum Einstein equation introduced by Chrzano...
Hugo Duminil-Copin,Karol Kajetan Kozlowski,Dmitry Krachun et al.
Hugo Duminil-Copin et al.
In this paper, we provide new proofs of the existence and the condensation of Bethe roots for the Bethe Ansatz equation associated with the six-vertex model with periodic boundary conditions and an arbitrary density of up arrows (per line) ...
Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure [0.03%]
格子上的共形场论：离散复分析和Virasoro结构
Clément Hongler,Kalle Kytölä,Fredrik Viklund
Clément Hongler
Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin et al. (Nucl Phys B 241(2):333-380, 1984). Both exhibit exactly solvable structures in two dimensions. A long-sta...
Vincenzo Morinelli,Yoh Tanimoto,Benedikt Wegener
Vincenzo Morinelli
We consider the algebras generated by observables in quantum field theory localized in regions in the null plane. For a scalar free field theory, we show that the one-particle structure can be decomposed into a continuous direct integral of...
On the Critical-Subcritical Moments of Moments of Random Characteristic Polynomials: A GMC Perspective [0.03%]
从GMC视角看随机特征多项式矩的临界-次临界时刻
Jonathan P Keating,Mo Dick Wong
Jonathan P Keating
We study the 'critical moments' of subcritical Gaussian multiplicative chaos (GMCs) in dimensions d ≤ 2 . In particular, we establish a fully explicit formula for the leading order asymptotics, which is closely related to large devia...