High-dimensional entanglement certification.
Quantum entanglement is the ability of joint quantum systems to possess global properties (correlation among systems) even when subsystems have no definite individual property. Whilst the 2-dimensional (qubit) case is well-understood, currently, tools to characterise entanglement in high dimensions are limited. We experimentally demonstrate a new procedure for entanglement certification that is suitable for large systems, based entirely on information-theoretics. It scales more efficiently than Bell's inequality and entanglement witness. The method we developed works for arbitrarily large system dimension d and employs only two local measurements of complementary properties. This procedure can also certify whether the system is maximally entangled. We illustrate the protocol for families of bipartite states of qudits with dimension up to 32 composed of polarisation-entangled photon pairs.
Quantum Photonics Laboratory, School of Engineering, RMIT University, Melbourne, Victoria 3000, Australia.|School of Physics, University of Sydney, NSW 2006, Australia.
Zixin
Z
Huang
Dip. Fisica and INFN Sez. Pavia, University of Pavia, via Bassi 6, I-27100 Pavia, Italy.
Lorenzo
L
Maccone
Quantum Photonics Laboratory, School of Engineering, RMIT University, Melbourne, Victoria 3000, Australia.|School of Physics, University of Sydney, NSW 2006, Australia.
Akib
A
Karim
Dip. Fisica and INFN Sez. Pavia, University of Pavia, via Bassi 6, I-27100 Pavia, Italy.
Chiara
C
Macchiavello
Quantum Photonics Laboratory, School of Engineering, RMIT University, Melbourne, Victoria 3000, Australia.|School of Physics, University of Sydney, NSW 2006, Australia.
Robert J
RJ
Chapman
Quantum Photonics Laboratory, School of Engineering, RMIT University, Melbourne, Victoria 3000, Australia.|School of Physics, University of Sydney, NSW 2006, Australia.
Alberto
A
Peruzzo