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Researchers have developed a diagrammatic method that achieves high-fidelity simulations for quantum systems up to 24 fermions, effectively bypassing the computational limits of exact diagonalization. By utilizing Majorana strings and polynomial scaling, this approach enables efficient classical computation of thermal expectation values in models like SYK and MQ. This advancement is critical for accurately modeling strongly correlated materials, such as those relevant to high-temperature superconductivity, without relying on intensive quantum hardware simulations.
Researchers Find Improved Correlations in Models Containing up to 24 Fermions
Can complex quantum systems be accurately modelled using simplified representations without losing essential information about their behaviour? Calculations aligning with exact diagonalisation for systems up to size N=24 now demonstrate this is possible, identifying an alternative four-body Hamiltonian that improves mapping between theoretical models. This offers enhanced fidelity when constructing reliable simulations of strongly correlated materials like those found in high-temperature superconductivity.
A new method computes thermal expectation values for complex quantum systems known as Majorana strings within the Sachdev, Ye, Kitaev (SYK) model. This diagrammatic approach enables calculations using classical computational resources and efficiently evaluates terms polynomial in system size N. Applying the technique to the Maldacena, Qi (MQ) model identified an alternative Hamiltonian that more accurately represents its ground state than previous methods…
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