Detection of genuine tripartite entanglement in quantum network scenario
- PDF / 563,757 Bytes
- 16 Pages / 439.37 x 666.142 pts Page_size
- 98 Downloads / 187 Views
Detection of genuine tripartite entanglement in quantum network scenario Biswajit Paul1 · Kaushiki Mukherjee2 · Sumana Karmakar3 · Debasis Sarkar4 · Amit Mukherjee5 · Arup Roy5 · Some Sankar Bhattacharya6 Received: 23 January 2020 / Accepted: 4 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Experimental demonstration of entanglement needs to have a precise control of experimentalist over the system on which the measurements are performed as prescribed by an appropriate entanglement witness. To avoid such trust problem, recently, deviceindependent entanglement witnesses (DIEWs) for genuine tripartite entanglement have been proposed where witnesses are capable of testing genuine entanglement without precise description of Hilbert space dimension and measured operators i.e. apparatus are treated as black boxes. Here, we design a protocol for enhancing the possibility of identifying genuine tripartite entanglement in a device independent manner. We consider three mixed tripartite quantum states none of whose genuine entanglement can be detected by applying certain DIEWs, but their genuine tripartite entanglement can be detected by applying the same when distributed in some suitable entanglement swapping network. Keywords Genuine tripartite entanglement · Entanglement swapping
B
Biswajit Paul [email protected]
1
Department of Mathematics, Balagarh Bijoy Krishna Mahavidyalaya, Hooghly, West Bengal, India
2
Department of Mathematics, Government Girls’ General Degree College, Ekbalpore, Kolkata, India
3
Department of Mathematics, The Heritage College, Anandapur, Kolkata 700107, India
4
Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata 700009, India
5
S.N. Bose National Centre for Basic Sciences, Block JD, Salt Lake, Kolkata 700098, India
6
Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong 0123456789().: V,-vol
123
246
Page 2 of 16
B. Paul et al.
1 Introduction Entanglement is one of the most intriguing and most fundamentally non-classical phenomena in quantum physics. A bipartite quantum state without entanglement is called separable. A multipartite quantum state that is not separable with respect to any bipartition is said to be genuinely multipartite entangled [1]. This type of entanglement is important not only for research concerning the foundations of quantum theory but also in quantum information protocols and quantum tasks such as extreme spin squeezing [2], high sensitivity in some general metrology tasks [3], quantum computing using cluster states [4], measurement-based quantum computation [5] and multiparty quantum network [6–9]. Several experimental proposals have been forwarded to create genuine entanglement in a laboratory. [10–12]. However, detection of this kind of resource in an experiment turns out to be quite difficult. Experimental demonstration of genuine multipartite entanglement is generally performed with one of the two following techniques: tomography of the full
Data Loading...
