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SUMMARY:A framework for spin-adapted quantum chemistry on quantum computer
 s - Nathan Fitzpatrick\, Quantinuum
DTSTART:20251106T141500Z
DTEND:20251106T153000Z
UID:TALK236416@talks.cam.ac.uk
CONTACT:Alex Turzillo
DESCRIPTION:Quantum computers promise to transform molecular simulation\, 
 but many existing algorithms overlook the powerful role of spin symmetry i
 n chemistry. The Quantum Paldus Transform provides a new framework that ma
 kes spin adaptation a built-in feature of quantum computation.\n\nAt its c
 ore\, the transform connects two representations of electronic states: the
  conventional occupation-number basis used in quantum chemistry\, and a sy
 mmetry-adapted basis that organises states by total spin\, particle number
 \, and orbital symmetries. This shift\, grounded in mathematical structure
  known as Paldus duality\, allows quantum devices to work directly with sp
 in-pure states - the natural language of chemistry.\n\nThe benefits are co
 nsiderable. Spin-free Hamiltonians reduce to block-diagonal\, sparser form
 s\, enabling more efficient simulations. The transform itself admits polyn
 omial-cost implementations and even highly compact circuit constructions. 
 Beyond simulation\, the framework facilitates efficient preparation of Con
 figuration State Functions (CSFs) and naturally embeds quantum information
  in decoherence-free subsystems\, offering potential protection against ce
 rtain noise channels.\n\nBy extending the quantum Schur transform into the
  fermionic setting\, the Quantum Paldus Transform establishes a principled
  and practical route for exploiting spin symmetry in quantum algorithms. T
 his framework opens new directions for scalable\, accurate\, and symmetry-
 aware quantum chemistry algorithms on quantum computers
LOCATION:Centre for Mathematical Sciences\, Potter Room
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