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Majorana Tensor Decomposition: A unifying framework for decompositions of fermionic Hamiltonians to Linear Combination of Unitaries

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arxiv 2407.06571 v3 pith:2DGN3VKM submitted 2024-07-09 quant-ph physics.chem-ph

Ignacio Loaiza , Aritra Sankar Brahmachari , Artur F. Izmaylov This is my paper · ORCID
classification quant-phphysics.chem-ph
keywords decompositiontensorappearedcombinationdecompositionselectronicencodingframework
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Linear combination of unitaries (LCU) decompositions have appeared as one of the main tools for encoding operators on quantum computers, allowing efficient implementations of arbitrary operators. In particular, LCU approaches present a way of encoding information from the electronic structure Hamiltonian into a quantum circuit. Over the past years, many different decomposition techniques have appeared for the electronic structure Hamiltonian. Here we present the Majorana Tensor Decomposition (MTD), a framework that unifies existing LCUs and offers novel decomposition methods by using popular low-rank tensor factorizations.

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Cited by 2 Pith papers

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

  1. Simulating Vibrational Dynamics on Bosonic Quantum Devices

    quant-ph 2024-11 conditional novelty 6.0 of 10

    A digital simulation framework decomposes quartic vibrational Hamiltonians into Bogoliubov-diagonalizable fragments, enabling Trotterized dynamics and eigenenergies on bosonic quantum hardware, demonstrated on a doubl...

  2. Quantum Measurement for Quantum Chemistry on a Quantum Computer

    quant-ph 2025-01 accept novelty 3.0 of 10

    This review organizes quantum measurement techniques for quantum chemistry into three cost categories: VQE-era Hamiltonian partitioning, classical shadows, POVM-based schemes, and quantum phase estimation inspired met...

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