Quantum Fisher information-based detection of genuine tripartite entanglement
- PDF / 488,012 Bytes
- 15 Pages / 439.37 x 666.142 pts Page_size
- 65 Downloads / 238 Views
Quantum Fisher information-based detection of genuine tripartite entanglement Long-Mei Yang1 · Bao-Zhi Sun2 · Bin Chen3 · Shao-Ming Fei4,5 · Zhi-Xi Wang4 Received: 9 December 2019 / Accepted: 13 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Genuine multipartite entanglement plays important roles in quantum information processing. The detection of genuine multipartite entanglement has been long time a challenging problem in the theory of quantum entanglement. We propose a criterion for detecting genuine tripartite entanglement of arbitrary dimensional tripartite states based on quantum Fisher information. We show that this criterion is more effective for some states in detecting genuine tripartite entanglement by detailed example. Keywords Genuine multipartite entanglement · Quantum Fisher information · Entanglement detection
1 Introduction Multipartite entanglement, as one of the most remarkable resources in the theory of quantum information processing and quantum computation, has been investigated extensively in the last two decades. Detecting multipartite entanglement, especially genuine multipartite entanglement of quantum systems, is becoming a fundamental issue, due to its various applications in quantum information science [1]. A multipartite quantum state is called genuine multipartite entangled if it is not separable with respect to any bipartition [2]. This special type of multipartite entanglement plays an
B
Zhi-Xi Wang [email protected]
1
State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China
2
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
3
College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China
4
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
5
Max-Planck-Institute for Mathematics in the Sciences, 04103 Leipzig, Germany 0123456789().: V,-vol
123
262
Page 2 of 15
L.-M. Yang et al.
important role in various quantum information processing tasks such as in the context of extreme spin squeezing [3] and highly sensitive metrological tasks [4,5]. It is also the basic ingredient in the measurement-based quantum computation [6] and in various quantum communication protocols [7–11]. However, characterization and detection of quantum entanglement is a formidably difficult task, and no efficient methods have been developed so far. Researchers have devoted much to detect quantum entanglement [12–22]. As a special class of multipartite entanglement, genuine multipartite entanglement also attracts researchers’ attention. To better detect genuine multipartite entanglement, a series criteria have been presented such as linear and nonlinear entanglement witnesses [23–28], Bell-like inequalities [29], and the norms of the correlation tensors [30–32] and genuine multipartite entanglement concurrence [31,33–35]. In Ref. [21], the authors developed a method to detect bipartite entanglement by use of qua
Data Loading...
