SAMOP 2023 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 11: Quantum Entanglement I

QI 11.5: Vortrag

Dienstag, 7. März 2023, 12:15–12:30, B305

Constructing entanglement witnesses based on the Schmidt decomposition of operators — •Sophia Denker¹, Chengjie Zhang², Ali Asadian³, and Otfried Gühne¹ — ¹Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany — ²School of Physical Science and Technology, Ningbo University, Ningbo, 315211, China — ³Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Zanjan 45137-66731, Iran

Characterizing entanglement is an important issue in quantum information, as entanglement is considered to be a resource for quantum key distribution or quantum metrology. One useful tool to detect and quantify entanglement are witness operators. A standard way to design entanglement witnesses for two or more particles is based on the fidelity of a pure quantum state; in mathematical terms this construction relies on the Schmidt decomposition of vectors. In this contribution, we present a method to build entanglement witnesses based on the Schmidt decomposition of operators. Our scheme works for the bipartite and the multipartite case and is found to be strictly stronger than the concept of fidelity-based witnesses. We discuss in detail how to improve known witnesses for genuine multipartite entanglement for various multipartite quantum states. Finally, we demonstrate that our approach can also be used to quantify quantum correlations as well as characterize the dimensionality of entanglement.