arXiv subjects

Judah F. Unmuth-Yockey

Publications and source records attributed to Judah F. Unmuth-Yockey.

2 recordsLinked to original sources

arXiv2022

Metropolis-style random sampling of quantum gates for the estimation of low-energy observables

We propose a quantum algorithm to compute low-energy expectation values of a quantum Hamiltonian by sampling a partition function associated with the average energy of that Hamiltonian. For any given quantum circuit-Hamiltonian pair, there is an associated average energy. The sampling is done through an accept/reject Metropolis-style algorithm on the quantum gates of the circuit itself. Observables calculated under the canonical ensemble from these samples of circuits are extrapolated from higher-energies to the ground state.

quant-ph↗

arXiv2018

A gauge-invariant, rotor Hamiltonian from dual variables of 3D U(1) gauge theory

We present a tensor formulation for free compact electrodynamics in three Euclidean dimensions and use this formulation to construct a quantum Hamiltonian in the continuous-time limit. Gauge-invariance is maintained at every step and the resulting Hamiltonian can be written as a rotor model. The energy eigenvalues for this Hamiltonian are computed using the tensor formulation, and compared with perturbation theory. We find good agreement between the calculations demonstrating a smooth passage from the statistical lattice Lagrangian description to the quantum Hamiltonian description.

hep-lat↗