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Statistical moments of quantum-walk dynamics reveal topological quantum transitions
Abstract
Many phenomena in solid-state physics can be understood in terms of their topological properties. Recently, controlled protocols of quantum walk (QW) are proving to be effective simulators of such phenomena. Here we report the realization of a photonic QW showing both the trivial and the non-trivial topologies associated with chiral symmetry in one-dimensional (1D) periodic systems. We find that the probability distribution moments of the walker position after many steps can be used as direct indicators of the topological quantum transition: while varying a control parameter that defines the system phase, these moments exhibit a slope discontinuity at the transition point. Numerical simulations strongly support the conjecture that these features are general of 1D topological systems. Extending this approach to higher dimensions, different topological classes, and other typologies of quantum phases may offer general instruments for investigating and experimentally detecting quantum transitions in such complex systems.
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OAM has enabled optimal quantum cloning of OAM-encoded qubits and photonic quantum walks in OAM states, with theoretical analyses and experimental demonstrations.
“At a fundamental level, OAM has enabled researches on optimal quantum cloning of OAM-encoded qubits [66,81] and photonic quantum walks in the orbital angular momentum states, with theoretical analyses [82,83] and experimental demonstrations [51,54,60].”
From Photonic quantum information processing: a review (2019) · cites this paper as [60]
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Sorted by citations
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Self-citationDynamical learning of a photonics quantum-state engineering process
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Photonic cellular automaton simulation of relativistic quantum fields: Observation of Zitterbewegung
Suprano, A., Zia, D., Polino, E., Poderini, D., Carvacho, G., Sciarrino, F., Lugli, M., Bisio, A., & Perinotti, P. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.033136 · Cited by 2
Metadata
- Authors
- Cardano, F., Maffei, M., Massa, F., Piccirillo, B., de Lisio, C., De Filippis, G., Cataudella, V., Santamato, E., & Marrucci, L.
- Venue
- Nature Communications
- Published
- 2016-04-22
- Volume
- 7
- Issue
- 1
- ISSN
- 2041-1723
- PMC
- PMC4844751
- Cited by
- 152
- References
- 8
- Language
- en
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