ELFT HÍRADÓ

[Janos Asboth <asboth.janos AT ttk.bme.hu>]

Dear All,

This Friday's BME Elméleti Fizika Szeminárium is shifted from 10:15 to:
11:15
due to a schedule conflict.

Hope to see many of you,
Janos Asboth

> BME Elméleti Fizika Szeminárium,
>
> nov. 28. péntek 10h15,
>
> 1111 Budapest, Budafoki út 8., BME F III. magasföldszint 01.,
> Elméleti Fizika Tanszék szemináriumi szoba
>
> Szombathy Dominik (BME TTK Elméleti Fizika Tanszék):
> Magic and Complexity in Quantum Circuits (PhD házi védés)
>
> My doctoral research examines the mechanisms that generate quantum
> resources, which are important in realising quantum computational
> advantage, with a particular focus on non-stabilizerness, which
> characterises resources beyond entanglement.
>
> While Clifford circuits efficiently generate entanglement, they remain
> classically simulable. However, the introduction of non-Clifford
> operations, like the T-gate, leads to a rapid transition in both spectral
> statistics and resource generation. My dissertation systematically examines
> how periodic orbit structures and spectral degeneracies in pure Clifford
> circuits are progressively disrupted by the presence of non-Clifford gates.
> This T-gate doping eventually leads to chaotic behaviour exponentially
> fast, and in the form of reproducing random unitary statistics, universal
> quantum computation. A transition can also be seen for the
> non-stabilizerness statistics, while only reaching random unitary behaviour
> linearly.
>
> Non-stabilizerness or magic quantifies non-Cliffordness, or in other
> words, how far a state lies from a stabiliser state. In random unitary
> circuits, we quantify how magic and entanglement are generated, and while
> their mean values correlate, fluctuations of these resources are
> asymptotically independent. This work also extends the investigation of
> stabiliser Rényi entropy in open quantum systems under noise channels.
> Showing that non-trivial stabiliser Rényi entropy can emerge as a result of
> environmental noise.
>
> Link to PhD thesis and thesis points:
>
> https://drive.google.com/drive/folders/1h5BNz_ItbCcVpjF5QFXwLMnCZ2nH5mxq?usp=sharing
>
> Minden érdeklődőt szeretettel várunk.
> Asbóth János,
>  szemináriumi koordinátor
>
>