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Adiabatic state preparation for digital quantum simulations of QED in 1 + 1D
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abstract
Quantum electrodynamics in 1 + 1D (QED2) shares intriguing properties with QCD, including confinement, string breaking, and interesting phase diagram when the non-trivial topological $\theta$-term is considered. Its lattice regularization is a commonly used toy model for quantum simulations of gauge theories on near-term quantum devices. In this work, we address algorithms for adiabatic state preparation in digital quantum simulations of QED2. We demonstrate that, for specific choices of parameters, the existing adiabatic procedure leads to level crossing between states of different charge sectors, preventing the correct preparation of the ground state. We further propose a new adiabatic Hamiltonian and verify its efficiency in targeting systems with a nonzero topological $\theta$-term and in studying string breaking phenomena.
Forward citations
Cited by 3 Pith papers
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Creation of Wave Packets for Quantum Chromodynamics on Quantum Computers
A quantum algorithm based on Haag-Ruelle theory and LCU proposes to prepare hadron wave packets from the vacuum in 3D lattice QCD, with a success probability that shrinks polynomially with lattice spacing, energy, and...
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Quantum Error Mitigation by Global Randomized Error Cancellation for Adiabatic Evolution in the Schwinger Model
A per-time-step randomized error cancellation scheme mitigates noisy adiabatic Schwinger-model energy levels and transfers across a first-order phase transition.
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Quantum computation of hadron scattering in a lattice gauge theory
On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.
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