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SUMMARY:Approximate randomized benchmarking for finite groups - Daniel Sti
 lck França\, TU Munich
DTSTART:20180510T131500Z
DTEND:20180510T141500Z
UID:TALK105670@talks.cam.ac.uk
CONTACT:Johannes Bausch
DESCRIPTION:We investigate randomized benchmarking in a general setting wi
 th\nquantum gates that form a representation\, not necessarily an irreduci
 ble one\, of a finite\ngroup. We derive an estimate for the average fideli
 ty\, to which experimental data may\nthen be calibrated. The number of par
 ameters that we need to fit is closely related to the structure of quantum
  channels that are covariant w.r.t. the representation at hand. Therefore\
 , we also discuss how results on the structure of covariant channels can b
 e used to improve randomized benchmarking protocols. \nFurthermore\, we es
 tablish that randomized benchmarking can be\nachieved by the sole implemen
 tation of quantum gates that generate the group as well\nas one additional
  arbitrary group element if the quantum channel that describes the noise w
 as close to a covariant channel. The efficiency of this protocol depends o
 n mixing times of random walks on the group and we also briefly discuss ho
 w new results in this direction could improve our protocol.\n\n
LOCATION:Centre for Mathematical Sciences\, Wilberforce Road\, Lecture roo
 m MR5
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