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082 _ _ |a 530
100 1 _ |a Bishop, Gino
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245 _ _ |a Quantum algorithm for Green's-function measurements in the Fermi-Hubbard model
260 _ _ |a Woodbury, NY
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520 _ _ |a In 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.
536 _ _ |a 5223 - Quantum-Computer Control Systems and Cryoelectronics (POF4-522)
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700 1 _ |a Bagrets, Dmitry
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700 1 _ |a Wilhelm, Frank K.
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773 _ _ |a 10.1103/PhysRevA.111.062610
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856 4 _ |u https://juser.fz-juelich.de/record/1046963/files/PhysRevA.111.062610.pdf
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