16 citations · 34 across the 3 of their papers we have counts for
6 papers
Optimizing fermionic encodings for both Hamiltonian and hardware
Riley W. Chien, Joel Klassen
In this work we present a method for generating a fermionic encoding tailored to a set of target fermionic operators and to a target hardware connectivity. Our method uses brute fo…
Phase Estimation of Local Hamiltonians on NISQ Hardware
Laura Clinton, Johannes Bausch, Joel Klassen +1
In this work we investigate a binned version of Quantum Phase Estimation (QPE) set out by [Somma 2019] and known as the Quantum Eigenvalue Estimation Problem (QEEP). Specifically,…
A Compact Fermion to Qubit Mapping Part 2: Alternative Lattice Geometries
Charles Derby, Joel Klassen
In recent work [arXiv:2003.06939v2] a novel fermion to qubit mapping -- called the compact encoding -- was introduced which outperforms all previous local mappings in both the qubi…
Mitigating Errors in Local Fermionic Encodings
Johannes Bausch, Toby Cubitt, Charles Derby +1
Quantum simulations of fermionic many-body systems crucially rely on mappings from indistinguishable fermions to distinguishable qubits. The non-local structure of fermionic Fock s…
Hardness and Ease of Curing the Sign Problem for Two-Local Qubit Hamiltonians
Joel Klassen, Milad Marvian, Stephen Piddock +3
We examine the problem of determining whether a multi-qubit two-local Hamiltonian can be made stoquastic by single-qubit unitary transformations. We prove that when such a Hamilton…
Two-local qubit Hamiltonians: when are they stoquastic?
Joel Klassen, Barbara M. Terhal
We examine the problem of determining if a 2-local Hamiltonian is stoquastic by local basis changes. We analyze this problem for two-qubit Hamiltonians, presenting some basic tools…