Quantum-classical computation of Schwinger model dynamics using quantum computers

By N. Klco, Eugene F. Dumitrescu, A. McCaskey, Titus Morris, Raphael C. Pooser, Mikel Sanz, Enrique Solano, Pavel Lougovski, Martin J. Savage. Physical Review A, 2018

384 citations recorded by the source corpus.

We present a quantum-classical algorithm to study the dynamics of the two-spatial-site Schwinger model on IBM's quantum computers. Using rotational symmetries, total charge, and parity, the number of qubits needed to perform computation is reduced by a factor of $\sim 5$, removing exponentially-large unphysical sectors from the Hilbert space. Our work opens an avenue for exploration of other lattice quantum field theories, such as quantum chromodynamics, where classical computation is used to find symmetry sectors in which the quantum computer evaluates the dynamics of quantum fluctuations.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/1591a84c42ef328e66ce739b32d73c408370a167

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Citations in the corpus

Floquet approach to ℤ2 lattice gauge theories with ultracold atoms in optical lattices (2019, methodology): “First studies of the Schwinger model have been performed with quantum-classical algorithms [31] and a digital quantum computer composed of four trapped ions [32].”
Quantum simulation of fundamental particles and forces (2023, background): “The Schwinger model continues to be a "sandbox" for ideas and experiments [168, 176, 231, 232] for quantum simulation as it shares a number of features analogous to those of QCD. Quantum simulations of non-Abelian lattice gauge theories have also been performed on small lattices, such as SU(2) and…”
Robust data encodings for quantum classifiers (2020, methodology): “VQAs have been proposed or used for many applications including quantum chemistry [8], approximate optimization [9], quantum state diagonalization [10], quantum compilation [11, 12], quantum field theory simulation [13, 14], linear systems of equations [15–17], and even quantum foundations [18].”