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001046963 1001_ $$0P:(DE-Juel1)185635$$aBishop, Gino$$b0$$eCorresponding author$$ufzj
001046963 245__ $$aQuantum algorithm for Green's-function measurements in the Fermi-Hubbard model
001046963 260__ $$aWoodbury, NY$$bInst.$$c2025
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001046963 520__ $$aIn the framework of the hybrid quantum-classical variational cluster approach to strongly correlated electron systems one of the goals of a quantum subroutine is to find single-particle correlation functions of lattice fermions in polynomial time. Previous works suggested to use variants of the Hadamard test for this purpose, which requires an implementation of controlled single-particle fermionic operators. However, for a number of locality-preserving mappings to encode fermions into qubits, a direct construction of such operators is not possible. In this work, we propose a quantum algorithm that uses an analog of the Kubo formula adapted to a quantum circuit simulating the Hubbard model. It allows to access the Green's function of a cluster directly using only bilinears of fermionic operators and circumvents the usage of the Hadamard test. We test our algorithm in practice by using open-access simulators of noisy IBM superconducting chips.
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001046963 7001_ $$0P:(DE-Juel1)194613$$aBagrets, Dmitry$$b1$$ufzj
001046963 7001_ $$0P:(DE-HGF)0$$aWilhelm, Frank K.$$b2
001046963 773__ $$0PERI:(DE-600)2844156-4$$a10.1103/PhysRevA.111.062610$$gVol. 111, no. 6, p. 062610$$n6$$p062610$$tPhysical review / A$$v111$$x2469-9926$$y2025
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