The superposition invariance of unitary operators and maximally entangled state
Xin-Wei Zha, Yun-Guang Zhang, Jian-Xia Qi
TL;DR
This paper investigates the invariance properties of superpositions of unitary operators and maximally entangled states, revealing that certain entanglement features remain unchanged within specific subspaces.
Contribution
It introduces the concept of superposition invariance in maximally entangled states and analyzes the structure of orthogonal maximally entangled bases divided into subspaces.
Findings
Orthogonal maximally entangled states can be partitioned into k subspaces.
Entanglement properties of superposed states are invariant within each subspace.
Superposition invariance holds for specific classes of maximally entangled states.
Abstract
In this paper, we study the superposition invariance of unitary operators and maximally entangled state respectively. Furthermore, we discuss the set 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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Taxonomy
TopicsQuantum Information and Cryptography · Quantum optics and atomic interactions · Quantum Mechanics and Applications