324 citations
11 papers
Eigenvectors of the square grid plus GUE
András Mészáros, Bálint Virág
Eigenvectors of the GUE-perturbed discrete torus with uniform boundary conditions retain some product structure for small perturbations but converge to discrete Gaussian waves for…
Assessment of various Hamiltonian partitionings for the electronic structure problem on a quantum computer using the Trotter approximation
Luis A. Martínez-Martínez, Tzu-Ching Yen, Artur F. Izmaylov
Solving the electronic structure problem via unitary evolution of the electronic Hamiltonian is one of the promising applications of digital quantum computers. One of the practical…
Fluid fermionic fragments for optimizing quantum measurements of electronic Hamiltonians in the variational quantum eigensolver
Seonghoon Choi, Ignacio Loaiza, Artur F. Izmaylov
Measuring the expectation value of the molecular electronic Hamiltonian is one of the challenging parts of the variational quantum eigensolver. A widely used strategy is to express…
Reducing molecular electronic Hamiltonian simulation cost for Linear Combination of Unitaries approaches
Ignacio Loaiza, Alireza Marefat Khah, Nathan Wiebe +1
We consider different Linear Combination of Unitaries (LCU) decompositions for molecular electronic structure Hamiltonians. Using these LCU decompositions for Hamiltonian simulatio…
Improving quantum measurements by introducing "ghost" Pauli products
Seonghoon Choi, Tzu-Ching Yen, Artur F. Izmaylov
Reducing the number of measurements required to estimate the expectation value of an observable is crucial for the variational quantum eigensolver to become competitive with state-…
Stability of concordance embeddings
Thomas Goodwillie, Manuel Krannich, Alexander Kupers
We prove a stability theorem for spaces of smooth concordance embeddings. From it we derive various applications to spaces of concordance diffeomorphisms and homeomorphisms.