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Exact closed-form expressions for unitary spin-adapted fermionic singlet double excitation operators
Erik Rosendahl Kjellgren1, Karl Michael Ziems2,3, Peter Reinholdt1
1Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, 5230 Odense, Denmark.
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We derive exact closed-form expressions for the matrix exponential of the anti-Hermitian spin-adapted singlet double excitation fermionic operators. These expressions enable the efficient implementation of such operators within unitary product state frameworks targeting conventional hardware and allow for the implementation of ansätze that guarantee convergence to specific spin symmetries. Moreover, these exact closed-form expressions might also lay the groundwork for constructing spin-adapted circuits for quantum devices.
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