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SUMMARY:The information content of quantum sources  - Giulio Chiribella\, 
 Oxford
DTSTART:20171130T141500Z
DTEND:20171130T151500Z
UID:TALK93976@talks.cam.ac.uk
CONTACT:Steve Brierley
DESCRIPTION:Quantum states provide information about multiple\, mutually c
 omplementary observables. Such information is not accessible from a single
  system\, but becomes accessible when multiple identically prepared system
 s are available. In this context\, an important question is how much infor
 mation is contained into a given number of copies of the same state. A rig
 orous way to quantify such information is through the task of quantum data
  compression\, where the goal is to store the quantum state into the small
 est number of quantum bits. The problem of compressing identically prepare
 d systems is relevant in several areas\, including the design of quantum s
 ensors that collect data and transfer them to a central location\, and the
  design of quantum learning machines that store patterns in their internal
  memory. In this talk I will characterize the minimum amount of memory nee
 ded 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 
 traded with classical memory. Finally\, I will conclude by showing an appl
 ication of quantum compression to high precision measurements of time and 
 frequency. \n\nReferences for this talk:  \n\nYang\, Yuxiang\, Giulio Chir
 ibella\, and Daniel Ebler. "Efficient quantum compression for ensembles of
  identically prepared mixed states." Physical Review Letters 116.8 (2016):
  080501.\n\nYang\, Yuxiang\, Giulio Chiribella\, and Masahito Hayashi. "Op
 timal compression for identically prepared qubit states." Physical Review 
 Letters 117.9 (2016): 090502.  \n\nYang\, Yuxiang\, Ge Bai\, Giulio Chirib
 ella\, and Masahito Hayashi\, M. (2017). Data compression for quantum popu
 lation coding. arXiv preprint arXiv:1701.03372\, IEEE Transactions on Info
 rmation Theory\, in press. \n
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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