BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Fault-tolerant quantum simulation of generalized Hubbard models - 
 Dr Nick Blunt (Riverlane)
DTSTART:20250205T120000Z
DTEND:20250205T133000Z
UID:TALK225790@talks.cam.ac.uk
CONTACT:Chiara Leadbeater
DESCRIPTION:Simulating quantum systems of interacting electrons is a widel
 y investigated use case for quantum computers. Despite significant optimiz
 ation efforts\, the quantum simulation of challenging systems such as the 
 FeMoco complex and cytochrome P450 have been estimated to require at least
  millions of physical qubits and billions of Toffoli gates\, which is far 
 beyond the capabilities of near-term devices. Recently\, it has been shown
  that fault-tolerant simulation of classically non-trivial Hubbard model i
 nstances may be possible with around one million Toffoli gates. Therefore\
 , there is the exciting possibility that such model systems may be relevan
 t in the “early fault-tolerant” regime. However\, these previous studi
 es have focused on the square-lattice Hubbard model. In this talk\, we wil
 l present an efficient method to perform quantum simulation of generalized
  Hubbard models\, for arbitrary lattices and Hamiltonians with long-range 
 interactions\, including extended Hubbard models and the PPP model. We wil
 l give an introduction to Trotterization for quantum simulation\, and pres
 ent our scheme\, which we call Tile Trotterization. We will discuss the us
 e of Tile Trotterization in quantum phase estimation\, using hexagonal lat
 tices as an example\, and compare our results to qubitisation\, which is a
  current state-of-the-art approach. We show that our scheme has better sca
 ling with system size than qubitisation\, and can be performed with low T 
 gate counts. To conclude\, we will discuss the potential use of this techn
 ique on early fault-tolerant quantum computers\, and the considerations th
 at this will involve.
LOCATION:Todd-Hamied Room\, Department of Chemistry\, Cambridge
END:VEVENT
END:VCALENDAR