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SUMMARY:Rahul Dalal (University of Vienna)
DTSTART:20250303T210000Z
DTEND:20250303T220000Z
DTSTAMP:20260423T040046Z
UID:NTBU/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/20/">Au
 tomorphic Representations and Quantum Logic Gates</a>\nby Rahul Dalal (Uni
 versity of Vienna) as part of Boston University Number Theory Seminar\n\nL
 ecture held in CDS Room 365 in Boston University.\n\nAbstract\nAny constru
 ction of a quantum computer requires finding a good set of universal quant
 um logic gates: abstractly\, a finite set of matrices in U(2^n) such that 
 short products of them can efficiently approximate arbitrary unitary trans
 formations. The 2-qubit case n=2 is of particular practical interest. I wi
 ll present the first construction of an optimal\, so-called "golden" set o
 f 2-qubit gates. \n\nThe modern theory of automorphic representations on u
 nitary groups---in particular\, the endoscopic classification and higher-r
 ank versions of the Ramanujan bound---will play a crucial role in proving 
 the necessary analytic estimates.\n
LOCATION:https://researchseminars.org/talk/NTBU/20/
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