Gluon field digitization for quantum computers
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 …
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 …
(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
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 …
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 …
arbitrary spin truncation for qudit-based quantum computers. We provide a construction of …
Primitive quantum gates for dihedral gauge theories
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 …
non-Abelian discrete gauge group DN—the dihedral group—serves as an approximation to …
Spectrum of digitized QCD: Glueballs in a gauge theory
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 …
Schemes for doing this with the minimum amount of qubits are desirable. We present a …
Lattice renormalization of quantum simulations
With advances in quantum computing, new opportunities arise to tackle challenging
calculations in quantum field theory. We show that trotterized time-evolution operators can …
calculations in quantum field theory. We show that trotterized time-evolution operators can …
Models on Quantum Computers
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 …
Space is substituted with a lattice, as usually done in lattice field theory, while the target …
Gluon digitization via character expansion for quantum computers
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 …
on discrete subgroups use a smaller, fixed number of qubits at the cost of systematic errors …