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Clifford Dressed Time-Dependent Variational Principle

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arxiv 2407.01692 v1 pith:KWBQOYNG submitted 2024-07-01 quant-ph

Antonio Francesco Mello , Alessandro Santini , Guglielmo Lami , Jacopo De Nardis , Mario Collura This is my paper · ORCID
classification quant-ph
keywords cliffordtdvpdressedentanglementalgorithmcomputationalenhancedpauli
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A tensor network formulation of Lattice Gauge Theories based only on symmetric tensors

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A gauge-invariant PEPS ansatz is rebuilt with only globally symmetric tensors by doubling the link symmetry from ZN to ZN×ZN, making standard tensor network libraries applicable.

  2. Disentangling critical quantum spin chains with Clifford circuits

    quant-ph 2024-11 conditional novelty 6.0 of 10

    For critical Ising and XXZ chains, CAMPS finds Clifford circuits that implement exact duality transformations, lowering entanglement by changing boundary conditions or mapping the model to simpler chains.

  3. Clifford-Dressed Variational Principles for Precise Loschmidt Echoes

    quant-ph 2025-02 conditional novelty 5.0 of 10

    The authors adapt Clifford-dressed TDVP to compute MPS-stabilizer overlaps, extending the time range of Loschmidt echo simulations at fixed bond dimension.

  4. Clifford circuits Augmented Matrix Product States for fermion systems

    cond-mat.str-el 2024-12 conditional novelty 4.0 of 10

    Fermionic CAMPS, built by combining Clifford circuits with MPS via the Jordan-Wigner transformation, improves ground-state energy accuracy over plain MPS in benchmarks on the t-V and Hubbard models.

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