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CATEGORIES:CQIF Seminar
SUMMARY:The information content of quantum sources - Giul
io Chiribella\, Oxford
DTSTART;TZID=Europe/London:20171130T141500
DTEND;TZID=Europe/London:20171130T151500
UID:TALK93976AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/93976
DESCRIPTION:Quantum states provide information about multiple\
, mutually complementary observables. Such informa
tion is not accessible from a single system\, but
becomes accessible when multiple identically prepa
red systems are available. In this context\, an im
portant question is how much information is contai
ned into a given number of copies of the same stat
e. A rigorous way to quantify such information is
through the task of quantum data compression\, whe
re the goal is to store the quantum state into the
smallest number of quantum bits. The problem of c
ompressing identically prepared systems is relevan
t in several areas\, including the design of quant
um sensors that collect data and transfer them to
a central location\, and the design of quantum lea
rning machines that store patterns in their intern
al memory. In this talk I will characterize the mi
nimum amount of memory needed to faithfully store
sequences of identically prepared quantum states\,
showing how the size of the memory grows with the
number of particles in the sequence. In addition\
, I will discuss how much quantum memory can be tr
aded with classical memory. Finally\, I will concl
ude by showing an application of quantum compressi
on to high precision measurements of time and freq
uency. \n\nReferences for this talk: \n\nYang\, Y
uxiang\, Giulio Chiribella\, and Daniel Ebler. "Ef
ficient quantum compression for ensembles of ident
ically prepared mixed states." Physical Review Let
ters 116.8 (2016): 080501.\n\nYang\, Yuxiang\, Giu
lio Chiribella\, and Masahito Hayashi. "Optimal co
mpression for identically prepared qubit states."
Physical Review Letters 117.9 (2016): 090502. \n\
nYang\, Yuxiang\, Ge Bai\, Giulio Chiribella\, and
Masahito Hayashi\, M. (2017). Data compression fo
r quantum population coding. arXiv preprint arXiv:
1701.03372\, IEEE Transactions on Information Theo
ry\, in press. \n
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberfor
ce Road\, Cambridge
CONTACT:Steve Brierley
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