Quantum walk on a square lattice with identical particles

Fuente: arXiv
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Autori principali: Camacho, Gonzalo, Meinecke, Jasmin, Wolters, Janik
Natura: Preprint
Pubblicazione: 2025
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author Camacho, Gonzalo
Meinecke, Jasmin
Wolters, Janik
author_facet Camacho, Gonzalo
Meinecke, Jasmin
Wolters, Janik
contents We investigate quantum superposition effects in two-dimensional quantum walks of identical particles with different statistics under particle exchange, starting from various different initial configurations. To characterize interparticle correlation dynamics, we focus on joint properties such as two-particle coincidence probabilities and the spread velocity of the interparticle distance. Regarding spatial modes as an environment for the particles internal degrees of freedom, we study the role played by the particle statistics using standard entanglement witnesses, showing that particles possessing fermionic statistics are more resistant to thermalize with their environment. We analyze the presence of multipartite entanglement in the system's degrees of freedom through the Quantum Fisher Information, revealing that fermionic states generated during the walk are better suited to perform quantum metrology tasks. Finally, we discuss the potential for implementing this model using integrated photonic circuits by exploiting $N$-partite entanglement between individual photons.
format Preprint
id arxiv_https___arxiv_org_abs_2504_11087
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum walk on a square lattice with identical particles
Camacho, Gonzalo
Meinecke, Jasmin
Wolters, Janik
Quantum Physics
We investigate quantum superposition effects in two-dimensional quantum walks of identical particles with different statistics under particle exchange, starting from various different initial configurations. To characterize interparticle correlation dynamics, we focus on joint properties such as two-particle coincidence probabilities and the spread velocity of the interparticle distance. Regarding spatial modes as an environment for the particles internal degrees of freedom, we study the role played by the particle statistics using standard entanglement witnesses, showing that particles possessing fermionic statistics are more resistant to thermalize with their environment. We analyze the presence of multipartite entanglement in the system's degrees of freedom through the Quantum Fisher Information, revealing that fermionic states generated during the walk are better suited to perform quantum metrology tasks. Finally, we discuss the potential for implementing this model using integrated photonic circuits by exploiting $N$-partite entanglement between individual photons.
title Quantum walk on a square lattice with identical particles
topic Quantum Physics
url https://arxiv.org/abs/2504.11087