Universal N -Partite d -Level Pure-State Entanglement Witness Based on Realistic Measurement Settings

Authored by

Stefania Sciara, Christian Reimer, Michael Kues, Piotr Roztocki, Alfonso Cino, David J. Moss, Lucia Caspani, William J. Munro, Roberto Morandotti

Abstract

Entanglement witnesses are operators that are crucial for confirming the generation of specific quantum systems, such as multipartite and high-dimensional states. For this reason, many witnesses have been theoretically derived which commonly focus on establishing tight bounds and exhibit mathematical compactness as well as symmetry properties similar to that of the quantum state. However, for increasingly complex quantum systems, established witnesses have lacked experimental achievability, as it has become progressively more challenging to design the corresponding experiments. Here, we present a universal approach to derive entanglement witnesses that are capable of detecting the presence of any targeted complex pure quantum system and that can be customized towards experimental restrictions or accessible measurement settings. Using this technique, we derive experimentally optimized witnesses that are able to detect multipartite d-level cluster states, and that require only two measurement settings. We present explicit examples for customizing the witness operators given different realistic experimental restrictions, including witnesses for high-dimensional entanglement that use only two-dimensional projection measurements. Our work enables us to confirm the presence of probed quantum states using methods that are compatible with practical experimental realizations in different quantum platforms.

Details

Organisation(s)
Hannover Centre for Optical Technologies (HOT)
External Organisation(s)
INRS Universite d'avant-garde
University of Palermo
Harvard University
University of Glasgow
Swinburne University of Technology
University of Strathclyde
Nippon Telegraph & Telephone
Research Organization of Information and Systems National Institute of Informatics
University of Electronic Science and Technology of China
St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO)
Type
Article
Journal
Physical Review Letters
Volume
122
ISSN
0031-9007
Publication date
29.03.2019
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
General Physics and Astronomy
Electronic version(s)
http://eprints.gla.ac.uk/184475/1/184475.pdf (Access: Open )
https://doi.org/10.1103/PhysRevLett.122.120501 (Access: Closed )
 
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