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IEEE/LEOS Summer Topical Meetings

Quantitatively Witnessing Exceptionally Large High-Dimensional Entanglement in Photon Pairs

James Schneeloch, Gregory A. Howland

Published Jul 1, 2018• 0 citations
Publisher

Abstract

We develop new uncertainty relations that efficiently quantify entanglement in high-dimensional and continuous-variable systems using the experimental data of correlations between pairs of complementary observables. We predict that over 10 ebits of entanglement can be verified between SPDC photon pairs.
DOI
10.1109/phosst.2018.8456796

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High-dimensional entanglement offers promising perspectives in quantum information science. In practice, however, the main challenge is to devise efficient methods to characterize high-dimensional entanglement, based on the available experimental data which is usually rather limited. Here we report the characterization and certification of high-dimensional entanglement in photon pairs, encoded in temporal modes. Building upon recently developed theoretical methods, we certify an entanglement of formation of 2.09(7) ebits in a time-bin implementation, and 4.1(1) ebits in an energy-time implementation. These results are based on very limited sets of local measurements, which illustrates the practical relevance of these methods.
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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.
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