4 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…
On expectations and variances in the hard-core model on bounded degree graphs
Ewan Davies, Juspreet Singh Sandhu, Brian Tan
We extend the study of the occupancy fraction of the hard-core model in two novel directions. One direction gives a tight lower bound in terms of individual vertex degrees, extendi…
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…