Towards a variational Jordan-Lee-Preskill quantum algorithm
- URL: http://arxiv.org/abs/2109.05547v1
- Date: Sun, 12 Sep 2021 16:04:44 GMT
- Title: Towards a variational Jordan-Lee-Preskill quantum algorithm
- Authors: Junyu Liu, Jinzhao Sun, Xiao Yuan
- Abstract summary: We formulate the theory of (time-dependent) variational quantum simulation, explicitly designed for quantum simulation of quantum field theory.
We develop hybrid quantum-classical algorithms for crucial ingredients in particle scattering experiments, including encoding, state preparation, and time evolution.
- Score: 9.548089725859297
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Rapid developments of quantum information technology show promising
opportunities for simulating quantum field theory in near-term quantum devices.
In this work, we formulate the theory of (time-dependent) variational quantum
simulation, explicitly designed for quantum simulation of quantum field theory.
We develop hybrid quantum-classical algorithms for crucial ingredients in
particle scattering experiments, including encoding, state preparation, and
time evolution, with several numerical simulations to demonstrate our
algorithms in the 1+1 dimensional $\lambda \phi^4$ quantum field theory. These
algorithms could be understood as near-term analogs of the Jordan-Lee-Preskill
algorithm, the basic algorithm for simulating quantum field theory using
universal quantum devices. Our contribution also includes a bosonic version of
the Unitary Coupled Cluster ansatz with physical interpretation in quantum
field theory, a discussion about the subspace fidelity, a comparison among
different bases in the 1+1 dimensional $\lambda \phi^4$ theory, and the
"spectral crowding" in the quantum field theory simulation.
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