The superposition invariance of unitary operators and maximally entangled state

Xin-wei Zha; Ning Miao; Xiao-yuan Yu

doi:10.1117/12.2538451

18 December 2019 The superposition invariance of unitary operators and maximally entangled state

Xin-wei Zha, Ning Miao, Xiao-yuan Yu

Author Affiliations +

Proceedings Volume 11339, AOPC 2019: Quantum Information Technology; 1133902 (2019) https://doi.org/10.1117/12.2538451
Event: Applied Optics and Photonics China (AOPC2019), 2019, Beijing, China

Abstract

In this paper, we study unitary operators and the superposition of unitary operators. We calculate the the superposition of unitary operators and find that some unitary operators superposition is also unitary operator. Furthermore, via this property, we discuss the set of orthogonal maximally entangled states. For 2,3,4,5-qubit, we introduce the complete sets of orthogonal maximally entangled states. We find that orthogonal basis of maximally entangled states can be divided into k subspaces. It is shown that some entanglement properties of superposed state in every subspace are invariant.

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Xin-wei Zha, Ning Miao, and Xiao-yuan Yu "The superposition invariance of unitary operators and maximally entangled state", Proc. SPIE 11339, AOPC 2019: Quantum Information Technology, 1133902 (18 December 2019); https://doi.org/10.1117/12.2538451

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