Gluon field digitization for quantum computers

A Alexandru, PF Bedaque, S Harmalkar, H Lamm… - Physical Review D, 2019 - APS
Simulations of gauge theories on quantum computers require the digitization of continuous
field variables. Digitization schemes that use the minimum amount of qubits are desirable …

Primitive quantum gates for an discrete subgroup: Binary tetrahedral

EJ Gustafson, H Lamm, F Lovelace, D Musk - Physical Review D, 2022 - APS
We construct a primitive gate set for the digital quantum simulation of the binary tetrahedral
(BT) group on two quantum architectures. This non-Abelian discrete group serves as a crude …

Gluon field digitization via group space decimation for quantum computers

Y Ji, H Lamm, S Zhu, (NuQS Collaboration) - Physical Review D, 2020 - APS
Efficient digitization is required for quantum simulations of gauge theories. Schemes based
on discrete subgroups use fewer qubits at the cost of systematic errors. We systematize this …

Prospects for simulating a qudit-based model of scalar QED

EJ Gustafson - Physical review D, 2021 - APS
We present a gauge invariant digitization of (1+ 1) d scalar quantum electrodynamics for an
arbitrary spin truncation for qudit-based quantum computers. We provide a construction of …

Primitive quantum gates for dihedral gauge theories

MS Alam, S Hadfield, H Lamm, ACY Li… - Physical Review D, 2022 - APS
We describe the simulation of dihedral gauge theories on digital quantum computers. The
non-Abelian discrete gauge group DN—the dihedral group—serves as an approximation to …

Spectrum of digitized QCD: Glueballs in a gauge theory

A Alexandru, PF Bedaque, R Brett, H Lamm - Physical Review D, 2022 - APS
Quantum simulations of QCD require digitization of the infinite-dimensional gluon field.
Schemes for doing this with the minimum amount of qubits are desirable. We present a …

Lattice renormalization of quantum simulations

M Carena, H Lamm, YY Li, W Liu - Physical Review D, 2021 - APS
With advances in quantum computing, new opportunities arise to tackle challenging
calculations in quantum field theory. We show that trotterized time-evolution operators can …

Models on Quantum Computers

A Alexandru, PF Bedaque, H Lamm, S Lawrence… - Physical Review Letters, 2019 - APS
We formulate a discretization of σ models suitable for simulation by quantum computers.
Space is substituted with a lattice, as usually done in lattice field theory, while the target …

Gluon digitization via character expansion for quantum computers

Y Ji, H Lamm, S Zhu, (NuQS Collaboration) - Physical Review D, 2023 - APS
Efficient digitization is required for quantum simulations of gauge theories. Schemes based
on discrete subgroups use a smaller, fixed number of qubits at the cost of systematic errors …

Digitization and subduction of gauge theories

B Assi, H Lamm - Physical Review D, 2024 - APS
The simulation of lattice gauge theories on quantum computers necessitates digitizing
gauge fields. One approach involves substituting the continuous gauge group with a …