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Main Authors: Biswas, Indranil, Bera, Subrata, Sen, Ujjwal, Chattopadhyay, Indrani, Sarkar, Debasis
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.12796
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author Biswas, Indranil
Bera, Subrata
Sen, Ujjwal
Chattopadhyay, Indrani
Sarkar, Debasis
author_facet Biswas, Indranil
Bera, Subrata
Sen, Ujjwal
Chattopadhyay, Indrani
Sarkar, Debasis
contents The role of complex numbers in quantum theory extends beyond mathematical convenience, having recently been formalized as a resource under the framework of the resource theory of imaginarity. Operationally, imaginarity translates into using fewer resources in optical setups. In this work, we investigate the operational advantage offered by complex-valued measurements in the entanglement of assistance protocol for three-qubit systems. We demonstrate that employing such measurement bases leads to a significant improvement in the concentration of bipartite entanglement with the aid of the third party. We further analyze a modified entanglement swapping protocol and show that a three-qubit complex measurement bases with certain symmetries outperform the standard GHZ-basis. This is also one example where a three-qubit non-maximally entangled basis surpasses a maximally entangled one in generating entanglement. Construction of the basis also addresses the open problems raised in [Phys. Rev. A. \textbf{108}, 022220 (2023)]. As an intriguing application, we show that using this approach in quantum network percolation on a honeycomb lattice reduces the required bond occupation probability by $22.7\%$ and, requirement of entanglement by $10.6\%$ in each bond.
format Preprint
id arxiv_https___arxiv_org_abs_2604_12796
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Entanglement concentration via measurement:- role of imaginarity
Biswas, Indranil
Bera, Subrata
Sen, Ujjwal
Chattopadhyay, Indrani
Sarkar, Debasis
Quantum Physics
The role of complex numbers in quantum theory extends beyond mathematical convenience, having recently been formalized as a resource under the framework of the resource theory of imaginarity. Operationally, imaginarity translates into using fewer resources in optical setups. In this work, we investigate the operational advantage offered by complex-valued measurements in the entanglement of assistance protocol for three-qubit systems. We demonstrate that employing such measurement bases leads to a significant improvement in the concentration of bipartite entanglement with the aid of the third party. We further analyze a modified entanglement swapping protocol and show that a three-qubit complex measurement bases with certain symmetries outperform the standard GHZ-basis. This is also one example where a three-qubit non-maximally entangled basis surpasses a maximally entangled one in generating entanglement. Construction of the basis also addresses the open problems raised in [Phys. Rev. A. \textbf{108}, 022220 (2023)]. As an intriguing application, we show that using this approach in quantum network percolation on a honeycomb lattice reduces the required bond occupation probability by $22.7\%$ and, requirement of entanglement by $10.6\%$ in each bond.
title Entanglement concentration via measurement:- role of imaginarity
topic Quantum Physics
url https://arxiv.org/abs/2604.12796