7 papers
First-order phase transitions in the hard-core model
Ewan Davies, Juspreet Singh Sandhu, Brian Tan
We give a rigorous proof that the hard-core model on a natural family of infinite graphs exhibits a first-order phase transition.
Weak Poincaré Inequalities via Approximate Stochastic Localization: Application to Sampling the Sherrington-Kirkpatrick Model
Ewan Davies, Holden Lee, Juspreet Singh Sandhu +1
We develop a new method for proving a weak functional inequality by first proving it for a sufficiently regular sequence of distributions approximating the stochastic localization…
Potential Hessian Ascent: The Sherrington-Kirkpatrick Model
David Jekel, Juspreet Singh Sandhu, Jonathan Shi
We present the first iterative spectral algorithm to find near-optimal solutions for a random quadratic objective over the discrete hypercube, resolving a conjecture of Subag [Suba…
Potential Hessian Ascent III: Sampling the Sherrington--Kirkpatrick Model at Beta < 1/2
Ewan Davies, Holden Lee, Juspreet Singh Sandhu +1
We give a polynomial-time algorithm to sample from the Gibbs measure of the Sherrington-Kirkpatrick model with negligible total-variation distance (TVD) error up to inverse tempera…
Degree-sequence bounds for independent sets via multivariate local occupancy
Ewan Davies, Juspreet Singh Sandhu, Jaehyeon Seo +1
We present new degree-sequence lower bounds on the expected size of an independent set from the hard-core model. For arbitrary graphs, we establish a multivariate lower bound inspi…
Monogamy of Entanglement Bounds and Improved Approximation Algorithms for Qudit Hamiltonians
Zackary Jorquera, Alexandra Kolla, Steven Kordonowy +2
We prove new monogamy of entanglement bounds for two-local qudit Hamiltonians of rank-one projectors without one-local terms. In particular, we certify the maximum energy in terms…