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SUMMARY:Quantum walking in curved spacetime
DTSTART;VALUE=DATE-TIME:20170301T110000Z
DTEND;VALUE=DATE-TIME:20170301T120000Z
DTSTAMP;VALUE=DATE-TIME:20260429T120443Z
UID:indico-event-2903@indico.ific.uv.es
DESCRIPTION:A discrete-time Quantum Walk (QW) is essentially a unitary ope
 rator driving the evolution of a single particle on the lattice. Some QWs 
 admit a continuum limit\, leading to familiar PDEs (e.g. the Dirac equatio
 n). In this paper\, we study the continuum limit of a wide class of QWs\, 
 and show that it leads to an entire class of PDEs\, encompassing the Hamil
 tonian form of the massive Dirac equation in (1+1) curved spacetime. There
 fore a certain QW\, which we make explicit\, provides us with a unitary di
 screte toy model of a test particle in curved spacetime\, in spite of the 
 fixed background lattice. Mathematically we have introduced two novel ingr
 edients for taking the continuum limit of a QW\, but which apply to any qu
 antum cellular automata: encoding and grouping.\n\nhttps://indico.ific.uv.
 es/event/2903/
LOCATION: Seminari Física Teòrica
URL:https://indico.ific.uv.es/event/2903/
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