Deterministic twirling with low resources
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00335692" target="_blank" >RIV/68407700:21340/20:00335692 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.physleta.2019.126179" target="_blank" >https://doi.org/10.1016/j.physleta.2019.126179</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2019.126179" target="_blank" >10.1016/j.physleta.2019.126179</a>
Alternative languages
Result language
angličtina
Original language name
Deterministic twirling with low resources
Original language description
Twirling operations, which average a quantum state with respect to a unitary subgroup, have become a frequently-employed tool in quantum information processing. We investigate the efficient implementation of twirling operations with minimal resources, without necessitating the ability to perform all possible unitary operations on the quantum system of interest. We present a general algebraic method allowing us to choose a set of - typically very few - unitary operators which, when applied randomly and repeatedly, produce the given twirling operation exponentially quickly. The method is applied to twirling operations for bipartite quantum systems with respect to the unitary group U(d)⊗U(d), an essential ingredient in entanglement distillation protocols. In particular, we provide a complete classification of sets of unitary operators capable of performing twirling on two qubits. Moreover, we construct a generic set containing at most three unitary operators achieving the twirling operation for a general two-qudit system.
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
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
2020
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
384
Issue of the periodical within the volume
8
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
5
Pages from-to
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UT code for WoS article
000514752900003
EID of the result in the Scopus database
2-s2.0-85076234741