Iterated nth order nonlinear quantum dynamics with mixed initial states
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00358325" target="_blank" >RIV/68407700:21340/22:00358325 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.physleta.2022.127999" target="_blank" >https://doi.org/10.1016/j.physleta.2022.127999</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2022.127999" target="_blank" >10.1016/j.physleta.2022.127999</a>
Alternative languages
Result language
angličtina
Original language name
Iterated nth order nonlinear quantum dynamics with mixed initial states
Original language description
Nonlinear quantum transformations play an important role in quantum state distillation, aiding quantum communication schemes. The simplest of these involve quadratic rational maps for qubits, higher order versions have not been explored in detail. We consider such iterated nonlinear protocols for qubits, involving a generalized CNOT, a measurement, and a single-qubit Hadamard gate processing n inputs in identical quantum states. To characterize the global properties of these protocols, we determine the fixed points and relevant fixed cycles. We show that a repelling mixed fixed point exists for all orders, marking a phase transition related to the disappearance of the fractalness of borders of different basins of attraction.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physics Letters A
ISSN
0375-9601
e-ISSN
1873-2429
Volume of the periodical
431
Issue of the periodical within the volume
april
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
8
Pages from-to
1-8
UT code for WoS article
000763374700002
EID of the result in the Scopus database
2-s2.0-85125442509