Topological quantum compilation of two-qubit gates
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00381798" target="_blank" >RIV/68407700:21230/24:00381798 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevA.110.052616" target="_blank" >https://doi.org/10.1103/PhysRevA.110.052616</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.110.052616" target="_blank" >10.1103/PhysRevA.110.052616</a>
Alternative languages
Result language
angličtina
Original language name
Topological quantum compilation of two-qubit gates
Original language description
We investigate the topological quantum compilation of two-qubit operations within a system of Fibonacci anyons. Our primary goal is to generate gates that are approximately leakage-free and equivalent to the controlled-NOT (CNOT) gate up to single-qubit operations. These gates belong to the local equivalence class [CNOT]. Additionally, we explore which local equivalence classes of two-qubit operations can be naturally generated by braiding Fibonacci anyons. We discovered that most of the generated classes are located near the edges of the Weyl chamber representation of two-qubit gates, specifically between the local equivalence classes of the identity [1] and [CNOT], SWAP and between those of the double-controlled-NOT [DCNOT] and [SWAP]. Furthermore, we found a numerically exact implementation of a local equivalent of the SWAP gate using a sequence of only nine elements from the Fibonacci braiding gate set.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA23-07947S" target="_blank" >GA23-07947S: Learning Models of Quantum Systems as a Non-Commutative Polynomial Optimization Problem</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
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 A
ISSN
2469-9926
e-ISSN
2469-9934
Volume of the periodical
110
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
"052616-1"-"052616-12"
UT code for WoS article
001413369600001
EID of the result in the Scopus database
2-s2.0-85210324052