Analyzing quantum entanglement with the Schmidt decomposition in operator space

• URL: http://arxiv.org/abs/2304.02447v2
• Date: Fri, 27 Sep 2024 12:31:33 GMT
• Title: Analyzing quantum entanglement with the Schmidt decomposition in operator space
• Authors: Chengjie Zhang, Sophia Denker, Ali Asadian, Otfried Gühne,
• Abstract summary: We introduce a general method to construct entanglement witnesses based on the Schmidt decomposition of observables. The method works for two- and, more importantly, many-body systems and is strictly stronger than fidelity-based constructions. We present experimentally relevant examples, where our approach improves entanglement detection significantly.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Characterizing entanglement is central for quantum information science. Special observables which indicate entanglement, so-called entanglement witnesses, are a widely used tool for this task. The construction of these witnesses typically relies on the observation that quantum states with a high fidelity to some entangled target state are entangled, too. We introduce a general method to construct entanglement witnesses based on the Schmidt decomposition of observables. The method works for two- and, more importantly, many-body systems and is strictly stronger than fidelity-based constructions. The resulting witnesses can also be used to quantify entanglement as well as to characterize the dimensionality of it. Finally, we present experimentally relevant examples, where our approach improves entanglement detection significantly.

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