December 2019 - ITP-quantumseminare

Tomorrow’s group meeting H42 @ 13:45
by Joe Renes 16 Dec '19

16 Dec '19

Hi all, Tomorrow we have a guest speaker, Marco Tomamichel from UTS in Sydney. He’ll tell us about “Encoding classical information into quantum resources”. See the abstract below. Best, -joe Abstract: We introduce and analyse the problem of encoding classical information into different resources of a quantum state. More precisely, we consider a general class of communication scenarios characterised by encoding operations that commute with a unique resource destroying map and leave free states invariant. Our motivating example is given by encoding information into coherences of a quantum system with respect to a fixed basis (with unitaries diagonal in that basis as encodings and the decoherence channel as a resource destroying map), but the generality of the framework allows us to explore applications ranging from super-dense coding to thermodynamics. For any state, we find that the number of messages that can be encoded into it using such operations in a one-shot scenario is upper-bounded in terms of the information spectrum relative entropy between the given state and its version with erased resources. Furthermore, if the resource destroying map is a twirling channel over some unitary group, we find matching one-shot lower-bounds as well. In the asymptotic setting where we encode into many copies of the resource state, our bounds yield an operational interpretation of resource monotones such as the relative entropy of coherence and its corresponding relative entropy variance.

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no meeting tomorrow
by Joe Renes 09 Dec '19

09 Dec '19

Hi all, Tomorrow's originally-scheduled talk has been postponed till after the new year, so tomorrow we will not have a group meeting. Best, -joe

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tomorrow's group meeting H42 @ 13:45
by Joe Renes 02 Dec '19

02 Dec '19

Hi all, Tomorrow Ernest will give us a preview of his QIP talk, entitled "Computing secure key rates for quantum key distribution with untrusted devices". Best, -joe

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