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SUMMARY:Exact Space Spin Factorisation of the Full Fermionic Wave Function
  under U(n) x SU(2): Part II - Nathan Fitzpatrick (Quantinuum)
DTSTART:20250312T123000Z
DTEND:20250312T140000Z
UID:TALK225796@talks.cam.ac.uk
CONTACT:Chiara Leadbeater
DESCRIPTION:We present a rigorous factorization of the fermionic wave func
 tion within the framework of U(n)×SU(2) symmetry\, extending the spin-fre
 e formalism of quantum chemistry introduced by Paldus. Using character the
 ory and symmetric polynomial techniques\, we construct a decomposition of 
 the full fermionic Fock space\, providing a first-principles derivation of
  its structure. Our approach reveals that the well-known Shavitt graph eme
 rges naturally from a recursion relation derived from the Dual Cauchy iden
 tity of symmetric polynomials\, offering new insights which will be built 
 upon to construct a quantum algorithm.\n\n
LOCATION:Todd-Hamied Room\, Department of Chemistry\, Cambridge
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