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This paper introduces Gaussian-augmented bosonic matrix-product states, offering a new class of quantum many-body wavefunctions that efficiently bridge pure Gaussian and finite-dimensional MPS structures. By enabling exact parent Hamiltonians and efficient variational calculations for expectation values, this theoretical framework advances the toolkit available for simulating strongly correlated electron systems on future quantum hardware.
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Gaussian-augmented bosonic matrix-product states: theory and applications

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arXiv:2607.28753v1 Announce Type: new Abstract: We propose and analyze the structure of a family of bosonic quantum many-body states that have the following features: (i) they include all pure Gaussian states and finite-dimensional matrix-product states as subclasses; (ii) their expectation values can be efficiently computed, allowing them to be used, among other things, for variational calculations; (iii) they admit exact parent Hamiltonians expressed as simple functions of the bosonic creation and annihilation operators.

Abstract:We propose and analyze the structure of a family of bosonic quantum many-body states that have the following features: (i) they include all pure Gaussian states and finite-dimensional matrix-product states as subclasses; (ii) their expectation values can be efficiently computed, allowing them to be used, among other things, for variational calculations; (iii) they admit exact parent Hamiltonians expressed as simple functions of the bosonic creation and annihilation operators.

Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th)

arXiv:2607.28753 [quant-ph]

(or arXiv:2607.28753v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.28753 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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