Discover and read the best of Twitter Threads about #MQCS

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Now at #MCQS, Andrea Rocchetto, from @UCL @UniofOxford on «Machine learning in quantum information theory, a selection of results» #LTQI
@ucl @UniofOxford Andrea Rocchetto defines the PAC (porbabilistically aproximate correct) models, and defines the concept of PAC-learnable: a concept is PAC-learnable iff one can guess a good model for arbitrary input distributions
#LTQI #MCQS
@ucl @UniofOxford Andrea Rocchetto: PAC learning on quantum states. The goal is to guess σ havig the same probability ditribution under a binary POVM than the training set ρ. Aaronson proved in 2007 that the problem is really different from tomography. #LTQI #MCQS
Read 16 tweets
Now Chiara Machiavello from@unipv on “Witnessing quantum capcities of noisy communication channels”
#LTQI #MCQS
Chiara Machiavello: a channel has several capacities:
The classical capacity C,
Entanglement assisted classcial capacity C_E,
P private capacity: negligile info can be obtained by a third party
and
Q: Quantum capacity
#LTQI #MCQS
Chiara Machiavello computes Q:
Channel described by CPTP map ℰ₁, N uses ℰ₁^⊗N

Q=lim Q_N/N, N→∞
Q_N=max_ρ Ic(ρ,ℰ_N) (coherent information)
Ic(ρ,ℰ)=S(ℰ(ρ))-S(ℰ,ρ), where the latter is the entropy exchange
#LTQI #MQCS
Read 12 tweets

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