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In this work, we introduce notions of quantum frequency arrangements consisting of quantum frequency squares, cubes, hypercubes and a notion of orthogonality between them. We also propose a notion of quantum mixed orthogonal array (QMOA). By using irredundant mixed orthogonal array proposed by Goyeneche et al. we can obtain k-uniform states of heterogeneous systems from quantum frequency arrangements and QMOAs. Furthermore, some examples are presented to illustrate our method.
Shanqi PANG
Henan Normal University
Ruining ZHANG
Henan Normal University
Xiao ZHANG
Henan Normal University
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Shanqi PANG, Ruining ZHANG, Xiao ZHANG, "Quantum Frequency Arrangements, Quantum Mixed Orthogonal Arrays and Entangled States" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 12, pp. 1674-1678, December 2020, doi: 10.1587/transfun.2020EAL2007.
Abstract: In this work, we introduce notions of quantum frequency arrangements consisting of quantum frequency squares, cubes, hypercubes and a notion of orthogonality between them. We also propose a notion of quantum mixed orthogonal array (QMOA). By using irredundant mixed orthogonal array proposed by Goyeneche et al. we can obtain k-uniform states of heterogeneous systems from quantum frequency arrangements and QMOAs. Furthermore, some examples are presented to illustrate our method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020EAL2007/_p
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@ARTICLE{e103-a_12_1674,
author={Shanqi PANG, Ruining ZHANG, Xiao ZHANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Quantum Frequency Arrangements, Quantum Mixed Orthogonal Arrays and Entangled States},
year={2020},
volume={E103-A},
number={12},
pages={1674-1678},
abstract={In this work, we introduce notions of quantum frequency arrangements consisting of quantum frequency squares, cubes, hypercubes and a notion of orthogonality between them. We also propose a notion of quantum mixed orthogonal array (QMOA). By using irredundant mixed orthogonal array proposed by Goyeneche et al. we can obtain k-uniform states of heterogeneous systems from quantum frequency arrangements and QMOAs. Furthermore, some examples are presented to illustrate our method.},
keywords={},
doi={10.1587/transfun.2020EAL2007},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - Quantum Frequency Arrangements, Quantum Mixed Orthogonal Arrays and Entangled States
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1674
EP - 1678
AU - Shanqi PANG
AU - Ruining ZHANG
AU - Xiao ZHANG
PY - 2020
DO - 10.1587/transfun.2020EAL2007
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2020
AB - In this work, we introduce notions of quantum frequency arrangements consisting of quantum frequency squares, cubes, hypercubes and a notion of orthogonality between them. We also propose a notion of quantum mixed orthogonal array (QMOA). By using irredundant mixed orthogonal array proposed by Goyeneche et al. we can obtain k-uniform states of heterogeneous systems from quantum frequency arrangements and QMOAs. Furthermore, some examples are presented to illustrate our method.
ER -