Experimental determination of multipartite entanglement with incomplete information
arXiv:1412.2401 · doi:10.1103/PhysRevX.5.031042
Abstract
Multipartite entanglement is very poorly understood despite all the theoretical and experimental advances of the last decades. Preparation, manipulation and identification of this resource is crucial for both practical and fundamental reasons. However, the difficulty in the practical manipulation and the complexity of the data generated by measurements on these systems increase rapidly with the number of parties. Therefore, we would like to experimentally address the problem of how much information about multipartite entanglement we can access with incomplete measurements. In particular, it was shown that some types of pure multipartite entangled states can be witnessed without measuring the correlations [M. Walter et al., Science 340, 1205 (2013)] between parties, which is strongly demanding experimentally. We explore this method using an optical setup that permits the preparation and the complete tomographic reconstruction of many inequivalent classes of three- and four-partite entangled states, and compare complete versus incomplete information. We show that the method is useful in practice, even for non-pure states or non ideal measurement conditions.
12 pages, 7 figures. Close to published version
References in corpus (9)
- Complete experimental toolbox for alignment-free quantum communication
- N-representability is QMA-complete
- Detecting non-locality in multipartite quantum systems with two-body correlation functions
- The Spectra of Density Operators and the Kronecker Coefficients of the Symmetric Group
- Quantum marginal problem and representations of the symmetric group
- Characterizing multipartite entanglement without shared reference frames
- Experimental entanglement redistribution under decoherence channels
- Flow of Quantum Correlations from a Two-Qubit System to its Environment
- Quantum Marginal Problem and its Physical Relevance
Cited by in corpus (5)
- Characterizing multipartite entanglement with moments of random correlations
- Entanglement in macroscopic systems
- Asymptotic properties of entanglement polytopes for large number of qubits
- Experimental Examination of Entanglement Estimates
- A geometric formulation to measure global and genuine entanglement in three-qubit systems