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Entanglement witnesses are invaluable for efficient quantum entanglement certification without the need for expensive quantum state tomography. Yet, standard entanglement witnessing requires multiple measurements and its bounds can be…

量子物理 · 物理学 2017-03-22 Farid Shahandeh , Martin Ringbauer , Juan C. Loredo , Timothy C. Ralph

We demonstrate that non-linear entanglement witnesses can be made particularly useful for entanglement detection in hyper-entangled or multilevel states. We test this idea experimentally on the platform of linear optics using a…

量子物理 · 物理学 2018-09-12 Vojtěch Trávníček , Karol Bartkiewicz , Antonín Černoch , Karel Lemr

Linear and nonlinear entanglement witnesses for a given bipartite quantum systems are constructed. Using single particle feasible region, a way of constructing effective entanglement witnesses for bipartite systems is provided by exact…

量子物理 · 物理学 2009-10-29 M. A. Jafarizadeh , A. Heshmati , K. Aghayara

Entanglement witnesses are one of the most effective methods to detect entanglement. It is known that nonlinear entanglement witnesses provide better entanglement detection than their linear counterparts, in that the former detect a…

量子物理 · 物理学 2025-12-25 Kornikar Sen , Chirag Srivastava , Ujjwal Sen

Entanglement detection typically relies on linear inequalities for mean values of certain observables (entanglement witnesses), where violation indicates entanglement. We provide a general method to improve any of these inequalities for…

量子物理 · 物理学 2007-05-23 Otfried Gühne , Norbert Lütkenhaus

We describe a generic way to improve a given linear entanglement witness by a quadratic, nonlinear term. This method can be iterated, leading to a whole sequence of nonlinear witnesses, which become stronger in each step of the iteration.…

量子物理 · 物理学 2009-11-13 Tobias Moroder , Otfried Gühne , Norbert Lütkenhaus

The controlled generation of entangled states and their subsequent detection are integral aspects of quantum information science. In this work, we analyse the application of nonlinear witnesses to the verification of entanglement, and we…

量子物理 · 物理学 2012-10-04 Megan Agnew , Jeff Z. Salvail , Jonathan Leach , Robert W. Boyd

Verification of entanglement is an important tool to characterize sources and devices for use in quantum computing and communication applications. In a vast majority of experiments entanglement witnesses (EW) are used in order to prove the…

量子物理 · 物理学 2012-07-02 Juan Miguel Arrazola , Oleg Gittsovich , Norbert Lütkenhaus

Entanglement witness is a Hermitian operator that is useful for detecting the genuine multipartite entanglement of mixed states. Nonlinear entanglement witnesses have the advantage of a wider detection range in the entangled region. We…

量子物理 · 物理学 2020-06-29 K. Aghayar , A. Heshmati , M. A. Jafarizadeh

Two approaches can be utilized to handle the separability problem, finding out whether a given bipartite qudit state is separable or not: a direct procedure on the state space or the effective tool of entanglement witnesses (EWs). This…

量子物理 · 物理学 2025-08-05 Dariusz Chruściński , Anindita Bera , Joonwoo Bae , Beatrix C. Hiesmayr

Entanglement witnesses provide a standard tool for the analysis of entanglement in experiments. We investigate possible nonlinear entanglement witnesses from several perspectives. First, we demonstrate that they can be used to show that the…

量子物理 · 物理学 2007-06-13 Otfried Gühne , Norbert Lütkenhaus

Entanglement, the essential resource in quantum information processing, should be witnessed in many tasks such as quantum computing and quantum communication. The conventional entanglement witness method, relying on an idealized…

量子物理 · 物理学 2014-04-17 Ping Xu , Xiao Yuan , Luo-Kan Chen , He Lu , Xing-Can Yao , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

We present entanglement witnesses for detecting genuine multi-qubit entanglement. Our constructions are robust against noise and require only two local measurement settings, independent of the number of qubits. Thus they allow to verify…

量子物理 · 物理学 2007-05-23 Geza Toth , Otfried Guehne

We study the connection between the Hilbert-Schmidt measure of entanglement (that is the minimal distance of an entangled state to the set of separable states) and entanglement witness in terms of a generalized Bell inequality which…

We transform the way of finding entanglement criterion into two steps: to obtain necessary criterion of separability by maximizing an algebra function for a set of characteristic variables of the witness operator and the given number of…

量子物理 · 物理学 2016-05-30 Xiao-yu Chen , Zhu-an Xu

We study the entanglement detection by using mutually unbiased measurements and provide a quantum separability criterion that can be experimentally implemented for arbitrary $d$-dimensional bipartite systems. We show that this criterion is…

量子物理 · 物理学 2015-06-22 Bin Chen , Teng Ma , Shao-Ming Fei

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…

量子物理 · 物理学 2024-09-30 Chengjie Zhang , Sophia Denker , Ali Asadian , Otfried Gühne

Whether entanglement in a state can be detected, distilled, and quantified without full state reconstruction is a fundamental open problem. We demonstrate a new scheme encompassing these three tasks for arbitrary two-qubit entanglement, by…

量子物理 · 物理学 2010-12-03 H. S. Park , S. -S. B. Lee , H. Kim , S. -K. Choi , H. -S. Sim

We present entanglement witness operators for detecting genuine multipartite entanglement. These witnesses are robust against noise and require only two local measurement settings when used in an experiment, independent from the number of…

量子物理 · 物理学 2007-05-23 Geza Toth , Otfried Guehne

We present a nonlinear entanglement detection strategy which detects entanglement that the linear detection strategy fails. We show that when the nonlinear entanglement detection strategy fails to detect the entanglement of an entangled…

量子物理 · 物理学 2025-03-31 Yiding Wang , Tinggui Zhang , Xiaofen Huang , Shao-Ming Fei
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