Measurements of Quantum Hamiltonians with Locally-Biased Classical Shadows
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04343-8
Abstract: Obtaining precise estimates of quantum observables is a crucial step of variational quantum algorithms. We consider the problem of estimating expectation values of quantum Hamiltonians, obtained on states prepared on a quantum computer. We propose… read more here.
Keywords: quantum hamiltonians; measurements quantum; biased classical; hamiltonians locally ... See more keywords
Surface Lifshits tails for random quantum Hamiltonians
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4977753
Abstract: We consider Schrodinger operators on L2(ℝd)⊗L2(ℝl) of the form Hω=H⊥⊗I∥+I⊥⊗H∥+Vω, where H⊥ and H∥ are Schrodinger operators on L2(ℝd) and L2(ℝl), respectively, and Vω(x,y):=∑ξ∈ℤdλξ(ω)v(x−ξ,y),x∈ℝd,y∈ℝl is a random “surface potential.” We investigate the behavior of the… read more here.
Keywords: surface lifshits; random quantum; integrated density; tails random ... See more keywords
Integrable Time-Dependent Quantum Hamiltonians.
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DOI: 10.1103/physrevlett.120.190402
Abstract: We formulate a set of conditions under which the nonstationary Schrödinger equation with a time-dependent Hamiltonian is exactly solvable analytically. The main requirement is the existence of a non-Abelian gauge field with zero curvature in… read more here.
Keywords: quantum hamiltonians; time; integrable time; time dependent ... See more keywords
Estimating Quantum Hamiltonians via Joint Measurements of Noisy Noncommuting Observables.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.100801
Abstract: Estimation of expectation values of incompatible observables is an essential practical task in quantum computing, especially for approximating energies of chemical and other many-body quantum systems. In this Letter, we introduce a method for this… read more here.
Keywords: quantum; estimating quantum; hamiltonians via; quantum hamiltonians ... See more keywords