Quantum walks as massless Dirac fermions in curved space-time

G Di Molfetta, M Brachet, F Debbasch - Physical Review A—Atomic, Molecular …, 2013 - APS
… continuous limit for these walks. The obtained continuous limit coincides with the physically
interesting situation of a massless Dirac fermion propagating in curved spacetime. Since the …

Quantum walks as massless Dirac fermions in curved space-time

DM Giuseppe, F Debbasch, ME Brachet - arXiv preprint arXiv:1212.5821, 2012 - arxiv.org
… continuous limit for these walks. The obtained continuous limit coincides with the physically
interesting situation of a massless Dirac fermion propagating in curved space-time. Since the …

Quantum walking in curved spacetime: discrete metric

P Arrighi, G Di Molfetta, S Facchini - Quantum, 2018 - quantum-journal.org
… to one component of the WE in curved spacetime with constant metric. Notice that although
Quantum walks as massless dirac fermions in curved space-time. Physical Review A, 88(4):…

Quantum walking in curved spacetime

P Arrighi, S Facchini, M Forets - Quantum Information Processing, 2016 - Springer
… Moreover, we provided a procedure to obtain the parameters of the quantum walk, namely
the unitaries \(W'\) and E, given a pair of Hermitian matrices \(B_1\) and C, possibly spacetime …

Quantum walking in curved spacetime: dimensions, and beyond

P Arrighi, S Facchini - arXiv preprint arXiv:1609.00305, 2016 - arxiv.org
… From discrete time quantum walk to continuous time quantum walk in limit distribution. …
Quantum walks as massless Dirac fermions in curved spacetime. Physical Review A, 88(4):…

A quantum walk with both a continuous-time limit and a continuous-spacetime limit

G Di Molfetta, P Arrighi - Quantum Information Processing, 2020 - Springer
curved Dirac QW [19] is precisely able to handle any synchronous metric in the massless
case… that we simulate: m is the mass of the Dirac fermion, c is the speed of light. The second two …

Minimal quantum walk simulation of Dirac fermions in curved space-times

F Debbasch - Quantum Studies: Mathematics and Foundations, 2023 - Springer
… of simulating through quantum walks the curved space-time propagation of Dirac fermions is
… We have also presented as illustration the simulation of massless Dirac fermions in the post-…

Confining massless Dirac particles in two-dimensional curved space

K Flouris, M Mendoza Jimenez, JD Debus… - Physical Review B, 2018 - APS
… , and massless Dirac fermions in curved spacetime that were … of quantum walks and their
use in quantum algorithms [36]. … of massless Dirac fermions in general two-dimensional curved

From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular quantum walks

P Arrighi, G Di Molfetta, I Marquez-Martin, A Perez - Scientific reports, 2019 - nature.com
… continuous limit, we arrive to the Dirac equation in 2 + 1 curved space-time, under the form
… system, we have computed the behaviour of a massless fermion in a (2 + 1)- dimensional …

A quantum walk with both a continuous-time and a continuous-spacetime limit

G Di Molfetta, P Arrighi - arXiv preprint arXiv:1906.04483, 2019 - arxiv.org
Quantum walking in curved spacetime: (3+1) dimensions, and beyond. … Quantum walks
as massless dirac fermions in curved spacetime. Physical Review A, 88(4):042301, 2013. [19] …