On Clifford Groups in Quantum Computing
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00324445" target="_blank" >RIV/68407700:21340/18:00324445 - isvavai.cz</a>
Result on the web
<a href="http://iopscience.iop.org/issue/1742-6596/1071/1" target="_blank" >http://iopscience.iop.org/issue/1742-6596/1071/1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/1071/1/012022" target="_blank" >10.1088/1742-6596/1071/1/012022</a>
Alternative languages
Result language
angličtina
Original language name
On Clifford Groups in Quantum Computing
Original language description
The term Clifford group was introduced in 1998 by D. Gottesmann in his investigation of quantum error-correcting codes. The simplest Clifford group in multiqubit quantum computation is generated by a restricted set of unitary Clifford gates - the Hadamard, $pi/4$-phase and controlled-X gates. Because of this restriction the Clifford model of quantum computation can be efficiently simulated on a classical computer (the Gottesmann-Knill theorem). However, this fact does not diminish the importance of the Clifford model, since it may serve as a suitable starting point for a full-fledged quantum computation. In the general case of a single or composite quantum system with finite-dimensional Hilbert space the finite Weyl-Heisenberg group of unitary operators defines the quantum kinematics and the states of the quantum register. Then the corresponding Clifford group is defined as the group of unitary operators leaving the Weyl-Heisenberg group invariant. The aim of this contribution is to show that our comprehensive results on symmetries of the Pauli gradings of quantum operator algebras -- covering any single as well as composite finite quantum systems -- directly correspond to Clifford groups defined as quotients with respect to U(1).
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Journal of Physics: Conference Series
ISBN
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ISSN
1742-6596
e-ISSN
1742-6596
Number of pages
11
Pages from-to
1-11
Publisher name
Institute of Physics Publishing
Place of publication
Bristol
Event location
Bregenz
Event date
Jul 30, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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