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SUMMARY:Quantum state preparation via piecewise QSVT - Oliver O'Brien (Dep
 artment of Applied Mathematics and Theoretical Physics)
DTSTART:20241120T123000Z
DTEND:20241120T140000Z
UID:TALK224620@talks.cam.ac.uk
CONTACT:Chiara Leadbeater
DESCRIPTION:Efficient state preparation is essential for implementing effi
 cient quantum algorithms. Whilst several techniques for low-cost state pre
 paration exist\, this work facilitates further classes of states\, whose a
 mplitudes are well approximated by piecewise polynomials. We show how such
  states can be efficiently prepared using a piecewise Quantum Singular Val
 ue Transformation along with a new piecewise linear diagonal block encodin
 g. We illustrate this with the explicit examples of √ x |x⟩ and log x 
 |x⟩. Further\, our technique reduces the cost of window boosted Quantum 
 Phase Estimation by efficiently preparing the B-spline window state. We de
 monstrate this window state requires 100 times fewer T-gates to prepare th
 an the state-of-the-art Kaiser window state\, and we show that the B-splin
 e window replicates the Kaiser window’s exponential reduction in tail pr
 obability for QPE.
LOCATION:Room U202\, Cybercafe\, Yusuf Hamied Department of Chemistry\, Ca
 mbridge
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