4 citations · 4 across the 10 of their papers we have counts for
10 papers
Quantum algorithm for differential equations via permutation matrix representation with application to the Burgers equation
Hriday Sabharwal, Amir Kalev, Itay Hen
We develop a quantum algorithm for solving the dynamics of the nonlinear viscous Burgers equation. We apply the Carleman linearization procedure on the spatially discretized equati…
Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive
Amir Kalev, Itay Hen
We introduce a construction of Pauli Hamiltonians with exactly known ground-state energies, intended as reference instances for ground-state energy estimation algorithms. The const…
Permutation Matrix Representation for Quantum Simulation: Comparative Resource Analysis
Hriday Sabharwal, Itay Hen
We present a comparative study of the permutation matrix representation (PMR) method for Hamiltonian simulation alongside other leading quantum algorithms. Our analysis focuses on…
Planted-solution SAT and Ising benchmarks from integer factorization
Itay Hen
We present a family of planted-solution benchmark instances for satisfiability (SAT) solvers and Ising optimization derived from integer factorization. Given two primes and …
Exponential divided differences via Chebyshev polynomials
Itay Hen
Exponential divided differences arise in numerical linear algebra, matrix-function evaluation, and quantum Monte Carlo simulations, where they serve as kernel weights for time evol…
Inequalities, identities, and bounds for divided differences of the exponential function
Qiulin Zeng, Nicholas Ezzell, Arman Babakhani +2
Let denote the divided difference of the exponential function. (i) We prove that exponential divided differences are log-submodular. (ii) We establish the…
Advanced measurement techniques in quantum Monte Carlo: The permutation matrix representation approach
Nic Ezzell, Itay Hen
In a typical finite temperature quantum Monte Carlo (QMC) simulation, estimators for simple static observables such as specific heat and magnetization are known. With a great deal…
A quantum Monte Carlo algorithm for arbitrary high-spin Hamiltonians
Arman Babakhani, Lev Barash, Itay Hen
We present a universal quantum Monte Carlo algorithm for simulating arbitrary high-spin (spin greater than 1/2) Hamiltonians, based on the recently developed permutation matrix rep…
ClassiFIM: An Unsupervised Method To Detect Phase Transitions
Victor Kasatkin, Evgeny Mozgunov, Nicholas Ezzell +3
Estimation of the Fisher Information Metric (FIM-estimation) is an important task that arises in unsupervised learning of phase transitions, a problem proposed by physicists. This…
A universal black-box quantum Monte Carlo approach to quantum phase transitions
Nic Ezzell, Lev Barash, Itay Hen
We derive exact, universal, closed-form quantum Monte Carlo estimators for finite-temperature energy susceptibility and fidelity susceptibility, applicable to essentially arbitrary…