Photonic quantum walks with four-dimensional coins
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00335691" target="_blank" >RIV/68407700:21340/19:00335691 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevResearch.1.033036" target="_blank" >https://doi.org/10.1103/PhysRevResearch.1.033036</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevResearch.1.033036" target="_blank" >10.1103/PhysRevResearch.1.033036</a>
Alternative languages
Result language
angličtina
Original language name
Photonic quantum walks with four-dimensional coins
Original language description
The dimensionality of the internal coin space of discrete-time quantum walks has a strong impact on the complexity and richness of the dynamics of quantum walkers. While two-dimensional coin operators are sufficient to define a certain range of dynamics on complex graphs, higher-dimensional coins are necessary to unleash the full potential of discrete-time quantum walks. In this work, we present an experimental realization of a discrete-time quantum walk on a line graph that, instead of two-dimensional, exhibits a four-dimensional coin space. Making use of the extra degree of freedom we observe multiple ballistic propagation speeds specific to higher-dimensional coin operators. By implementing a scalable technique, we demonstrate quantum walks on circles of various sizes, as well as on an example of a Husimi cactus graph. The quantum walks are realized via time-multiplexing in a Michelson interferometer loop architecture, employing as the coin degrees of freedom the polarization and the traveling direction of the pulses in the loop. Our theoretical analysis shows that the platform supports implementations of quantum walks with arbitrary 4x4 unitary coin operations, and usual quantum walks on a line with various periodic and twisted boundary conditions.
Czech name
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Czech description
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Classification
Type
J<sub>ost</sub> - Miscellaneous article in a specialist periodical
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review Research
ISSN
2643-1564
e-ISSN
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Volume of the periodical
1
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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