Shallow quantum circuits are robust hunters for quantum many-body scars

• URL: http://arxiv.org/abs/2401.09279v1
• Date: Wed, 17 Jan 2024 15:32:57 GMT
• Title: Shallow quantum circuits are robust hunters for quantum many-body scars
• Authors: Gabriele Cenedese, Maria Bondani, Alexei Andreanov, Matteo Carrega, Giuliano Benenti and Dario Rosa
• Abstract summary: We show that a shallow variational eigensolver can be trained to successfully target quantum many-body scar states. Scars are area-law high-energy eigenstates of quantum many-body Hamiltonians, which are sporadic and immersed in a sea of volume-law eigenstates.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Presently, noisy intermediate-scale quantum computers encounter significant technological challenges that make it impossible to generate large amounts of entanglement. We leverage this technological constraint as a resource and demonstrate that a shallow variational eigensolver can be trained to successfully target quantum many-body scar states. Scars are area-law high-energy eigenstates of quantum many-body Hamiltonians, which are sporadic and immersed in a sea of volume-law eigenstates. We show that the algorithm is robust and can be used as a versatile diagnostic tool to uncover quantum many-body scars in arbitrary physical systems.

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