Hi,
The talk as announced before will take place one week later, on ** Jan.
25 **.
Everything else remains unchanged.
Please apologize for the spamming.
Cheers,
Stefan
-------- Original-Nachricht --------
Betreff: Talk by Corsin Pfister
Datum: Tue, 4 Jan 2011 14:36:59 +0100
Von: Stefan Wolf <wolf(a)inf.ethz.ch>
An: <itp-quantumseminare(a)phys.ethz.ch>, Corsin Pfister
<pfisterc(a)student.ethz.ch>
Good afternoon,
First of all, happy new year to all of you, I wish you joy and
luck and success!
This year's first seminar talk will be given by Corsin Pfister:
Tuesday, Jan. 18, 17:00 in HIT J 52 (or maybe one of the K rooms,
if available) on Hoenggerberg.
Best regards,
Stefan
_______________________________________________________________
Title:
Tsirelson's bound in time
Abstract:
The mathematical descriptions of joint probability distributions of measure-
ment outcomes occurring in quantum mechanics are very different. Two local
measurements on different subsystems are described by observables of tensor
product form on a common tensor Hilbert space (two-systems correlations).
Two measurements on the same system with an intermediate dynamical evolu-
tion are described by a state update rule, trace-preserving completely
positive
maps and observables without a tensor product form (two-times correlations).
Two-systems correlations are restricted by Tsirelson’s bound. One might
ask if
Tsirelson’s bound can also be used to find restrictions on two-times
correlations.
This thesis partially answers this question. Tsirelson’s bound is combined
with an extended version of the Choi-Jamiolkowski Isomorphism, the Leifer
Isomorphism, which shows an equivalence between two-systems and two-times
correlations. It is shown that Tsirelson’s bound, together with the
Leifer Iso-
morphism, implies a tight bound on the average success probability of a
special
type of (2, 1,p)-Random Access Codings (RACs). RACs can be realised using
two-systems correlations as well as two-times correlations, which allows
a com-
parison of the two cases. An attempt to interpret the analogue of the
locality
condition in the case of two-times correlations is made. It is found
that two-
times correlations used to realise this special type of (2, 1,p)-RAC
cannot be
used to communicate, as is the case for two-systems correlations.
_______________________________________________________________