Clifford Dressed Time-Dependent Variational Principle

• URL: http://arxiv.org/abs/2407.01692v1
• Date: Mon, 1 Jul 2024 18:04:25 GMT
• Title: Clifford Dressed Time-Dependent Variational Principle
• Authors: Antonio Francesco Mello, Alessandro Santini, Guglielmo Lami, Jacopo De Nardis, Mario Collura,
• Abstract summary: We propose an enhanced Time-Dependent Variational Principle (TDVP) algorithm for Matrix Product States (MPS) By leveraging the Clifford group, we introduce a Clifford dressed single-site 1-TDVP scheme. We validate the new algorithm numerically using various quantum many-body models, including both integrable and non-integrable systems.
• Score: 39.58317527488534
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose an enhanced Time-Dependent Variational Principle (TDVP) algorithm for Matrix Product States (MPS) that integrates Clifford disentangling techniques to efficiently manage entanglement growth. By leveraging the Clifford group, which maps Pauli strings to other Pauli strings while maintaining low computational complexity, we introduce a Clifford dressed single-site 1-TDVP scheme. During the TDVP integration, we apply a global Clifford transformation as needed to reduce entanglement by iteratively sweeping over two-qubit Clifford unitaries that connect neighboring sites in a checkerboard pattern. We validate the new algorithm numerically using various quantum many-body models, including both integrable and non-integrable systems. Our results demonstrate that the Clifford dressed TDVP significantly improves entanglement management and computational efficiency, achieving higher accuracy, extended simulation times, and enhanced precision in computed observables compared to standard TDVP approaches. Additionally, we propose incorporating Clifford gates directly within the two-site 2-TDVP scheme.

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