Locating quantum critical points with shallow quantum circuits
- URL: http://arxiv.org/abs/2203.14035v1
- Date: Sat, 26 Mar 2022 09:35:57 GMT
- Title: Locating quantum critical points with shallow quantum circuits
- Authors: Zhi-Quan Shi, Fang-Gang Duan, Dan-Bo Zhang
- Abstract summary: We propose an approach based on variational quantum eigensolver(VQE), dubbed as Delta-VQE, for locating the quantum critical point.
The signature of a critical point as a minimal point can be sharper while using shallower quantum circuits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum critical point is one key concept for studying many-body physics but
its investigation may be resource-demanding even for a quantum computer due to
the intrinsic complexity. In this paper, we propose an approach based on
variational quantum eigensolver(VQE), dubbed as Delta-VQE, for locating the
quantum critical point using only shallow quantum circuits. With Delta-VQE, the
critical point can be identified as a most confusing point, quantified as zero
difference between two variational energies that use two representative
reference states of distinct phases of matter. Remarkably, the signature of a
critical point as a minimal point can be sharper while using shallower quantum
circuits. We test the algorithm for different quantum systems and demonstrate
the usefulness of Delta-VQE. The scheme suggests a new avenue for investigating
quantum phases of matter on near-term quantum devices with limited quantum
resources.
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