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[Fizinfo] BME Elm. Fiz. Szeminárium, okt. 28., Pozsgay Balázs

From: Janos Asboth <asboth.janos AT ttk.bme.hu>
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Subject: [Fizinfo] BME Elm. Fiz. Szeminárium, okt. 28., Pozsgay Balázs
Date: Wed, 26 Oct 2022 13:16:21 +0200
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Meghívó

BME Elméleti Fizika Szeminárium,

okt. 28. péntek 10h15,

1111 Budapest, Budafoki út 8., BME F III. magasföldszint 01.,
Elméleti Fizika Tanszék szemináriumi szoba

Balázs Pozsgay (ELTE Elméleti Fizika Tanszék):
Maximal entanglement and multi-directional unitarity

We consider [1] dual unitary operators and their multi-leg generalizations
that appeared at various places in the literature. These objects can be
related to multi-party quantum states with special entanglement patterns:
the sites are arranged in a spatially symmetric pattern and the states have
maximal entanglement for all bi-partitions that follow from the reflection
symmetries of the given geometry. We consider those cases where the state
itself is invariant with respect to the geometrical symmetry group. The
simplest examples are those dual unitary operators which are also self dual
and reflection invariant, but we also consider the generalizations in the
hexagonal, cubic, and octahedral geometries. We provide a number of
constructions and concrete examples for these objects for various local
dimensions. All of our examples can be used to build quantum cellular
automata in 1+1 or 2+1 dimensions, with multiple equivalent choices for the
“direction of time”.

[1]: Multi-directional unitarity and maximal entanglement in spatially
symmetric quantum states
Márton Mestyán, Balázs Pozsgay, Ian M. Wanless, arXiv:2210.13017

Minden érdeklődőt szeretettel várunk.
Asbóth János,
szemináriumi koordinátor

[Fizinfo] BME Elm. Fiz. Szeminárium, okt. 28., Pozsgay Balázs, Janos Asboth, 10/26/2022