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SUMMARY:Quantum Walks as Quantum Simulators of Classical and Quantum Field
Theory
DTSTART;VALUE=DATE-TIME:20191204T140000Z
DTEND;VALUE=DATE-TIME:20191204T153000Z
DTSTAMP;VALUE=DATE-TIME:20200525T083808Z
UID:indico-event-3917@indico.ific.uv.es
DESCRIPTION:DTQWs are very simple models of quantum transport on a spaceti
me lattice which are unitary and ultralocal (the evolution operator is str
ictly local on the spatial lattice\, i.e.\, there is an in-built finite sp
eed of propagation). In the limit to the continuum\, they reproduce classi
cal fermionic propagation (Dirac equation)\, which can be coupled to exter
nal Yang-Mills gauge fields (both Abelian and non-Abelian)\, and external
relativistic gravitational ones (curved spacetime). The classical dynamics
for the Yang-Mills gauge fields is under study\; preliminary results exis
t\, both in the Abelian and in the non-Abelian case. Action principles for
these DTQWs\, both in flat and curved discrete spacetimes\, have been sug
gested. The connections between the lattice models of field theory that DT
QWs are\, and standard LGT\, have started to be studied in detail recently
. When it comes to quantising the fields\, the free case is well-known\, a
nd corresponds to Quantum Cellular Automata (QCA). A first interacting (1+
1)D QCA has been proposed\, which reproduces phenomenology of the Schwinge
r model of quantum electrodynamics. A recent work shows how putting tempor
al noise on the internal-space parameters of the DTQW yields\, in the cont
inuum limit\, via entanglement to the position\, a very simple model of qu
antum relativistic diffusion.\n\nhttps://indico.ific.uv.es/event/3917/
LOCATION:IFIC 1001-Primera-1-1-1 - Paterna
URL:https://indico.ific.uv.es/event/3917/
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