[quantum-info] REMINDER: Next week's PIQuDos

[Daniel Gottesman]

PIQuDoS by Karol Zyczkowski today at 4 PM.



                                                Daniel



*From:* Markus Mueller [mailto:mmueller at perimeterinstitute.ca]
*Sent:* August-31-12 8:59 AM
*To:* PIResearchers at perimeterinstitute.ca; quantum-info at lists.uwaterloo.ca
*Subject:* Next week's PIQuDos



Hi all,

next week, we have a talk by Karol Zyczkowski on Wednesday at 4pm in the
Time Room.

Best wishes,
Markus



Title: *Entropic uncertainty relations for quantum operations*
Speaker: Karol Zyczkowski (Jagiellonian University, Cracow, Poland)

Abstract:
We analyze the set of discrete quantum operations acting on an N-level
system from the entropic point of view.
Spectral properties of an arbitrary matrix can be characterized by the
entropy of its rescaled singular values. Any quantum operation can be
described by the associated dynamical matrix or by the corresponding
superoperator. The entropy of the dynamical matrix describes  the degree of
decoherence introduced by the map, while the entropy of the superoperator
characterizes the a priori knowledge of the receiver of the outcome of a
quantum channel $\Phi$.
We prove that for any map acting on a N-dimensional quantum system the sum
of both entropies is not smaller than $\ln N$. For any bistochastic map
this lower bound reads $2\ln N$. We investigate also the corresponding
Renyi entropies, provide an upper bound for their sum and analyze
entanglement of the bi-partite quantum state associated with the channel.


Date: September 05, 2012 - 4:00 pm
Series: Perimeter Institute Quantum Discussions
Location: Time Room
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