if you look on information sciences really seen tremendous progress over the last several years
with the shift of emphasis in the community from principal demonstrations of quite incoherent phenomena
to it and attempt to tackle heart engineering challenges associated with producing robust and hopefully
useful quantum systems
a major challenge are community is the accumulation of error nudity coherence or general loss
of one and s from unwanted environmental fluctuations there are a variety of error models
that have been developed in order to account for this but all of them really
small sure in that they fail to adequately address the dominant forms of error and
of noise that occur realistic laboratory settings
work builds on recent effort in the last several years incorporating transfer functions which are
common engineering into the vernacular of quantum control
we expand and generalize the so-called delta function framework allowing us to analytically calculate spectral
functions for arbitrary piecewise constant can control in the presence of universal time dependent noise
now in this framework were able to effectively reduce the challenge of calculating or susceptibility
in complex algorithms a modulating gate i to the relatively straightforward problem of calculating a
spectral filter function
this is an experimentally validated technique that's been shown useful in a wide variety of
technological platforms and accordingly we really hope it will prove useful in one control quantum
information science experiments