IEICE TRANSACTIONS on Fundamentals
k-Uniform States and Quantum Combinatorial Designs
Summary :
Quantum combinatorial designs are gaining popularity in quantum information theory. Quantum Latin squares can be used to construct mutually unbiased maximally entangled bases and unitary error bases. Here we present a general method for constructing quantum Latin arrangements from irredundant orthogonal arrays. As an application of the method, many new quantum Latin arrangements are obtained. We also find a sufficient condition such that the improved quantum orthogonal arrays [10] are equivalent to quantum Latin arrangements. We further prove that an improved quantum orthogonal array can produce a quantum uniform state.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.6 pp.975-982
- Publication Date
- 2022/06/01
- Publicized
- 2021/12/20
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAP1090
- Type of Manuscript
- PAPER
- Category
- Information Theory
Authors
Shanqi PANG
Henan Normal University
Xiankui PENG
Henan Normal University
Xiao ZHANG
Henan Normal University
Ruining ZHANG
Henan Normal University
Cuijiao YIN
Henan Normal University
Keyword
Latest Issue
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Shanqi PANG, Xiankui PENG, Xiao ZHANG, Ruining ZHANG, Cuijiao YIN, "k-Uniform States and Quantum Combinatorial Designs" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 6, pp. 975-982, June 2022, doi: 10.1587/transfun.2021EAP1090.
Abstract: Quantum combinatorial designs are gaining popularity in quantum information theory. Quantum Latin squares can be used to construct mutually unbiased maximally entangled bases and unitary error bases. Here we present a general method for constructing quantum Latin arrangements from irredundant orthogonal arrays. As an application of the method, many new quantum Latin arrangements are obtained. We also find a sufficient condition such that the improved quantum orthogonal arrays [10] are equivalent to quantum Latin arrangements. We further prove that an improved quantum orthogonal array can produce a quantum uniform state.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1090/_p
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@ARTICLE{e105-a_6_975,
author={Shanqi PANG, Xiankui PENG, Xiao ZHANG, Ruining ZHANG, Cuijiao YIN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={k-Uniform States and Quantum Combinatorial Designs},
year={2022},
volume={E105-A},
number={6},
pages={975-982},
abstract={Quantum combinatorial designs are gaining popularity in quantum information theory. Quantum Latin squares can be used to construct mutually unbiased maximally entangled bases and unitary error bases. Here we present a general method for constructing quantum Latin arrangements from irredundant orthogonal arrays. As an application of the method, many new quantum Latin arrangements are obtained. We also find a sufficient condition such that the improved quantum orthogonal arrays [10] are equivalent to quantum Latin arrangements. We further prove that an improved quantum orthogonal array can produce a quantum uniform state.},
keywords={},
doi={10.1587/transfun.2021EAP1090},
ISSN={1745-1337},
month={June},}
Copy
TY - JOUR
TI - k-Uniform States and Quantum Combinatorial Designs
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 975
EP - 982
AU - Shanqi PANG
AU - Xiankui PENG
AU - Xiao ZHANG
AU - Ruining ZHANG
AU - Cuijiao YIN
PY - 2022
DO - 10.1587/transfun.2021EAP1090
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2022
AB - Quantum combinatorial designs are gaining popularity in quantum information theory. Quantum Latin squares can be used to construct mutually unbiased maximally entangled bases and unitary error bases. Here we present a general method for constructing quantum Latin arrangements from irredundant orthogonal arrays. As an application of the method, many new quantum Latin arrangements are obtained. We also find a sufficient condition such that the improved quantum orthogonal arrays [10] are equivalent to quantum Latin arrangements. We further prove that an improved quantum orthogonal array can produce a quantum uniform state.
ER -
English
