  Higher dimensional quantum systems are an important avenue for new
explorations in quantum computing as well as quantum communications. One of the
ubiquitous resources in quantum technologies is entanglement. However, so far,
entanglement has been certified in higher dimensional systems through suitable
bounds on known entanglement measures. In this work, we have, for the first
time, quantified the amount of entanglement in bi-partite pure qutrit states by
analytically relating statistical correlation measures and known measures of
entanglement, and have determined the amount of entanglement in our
experimentally generated spatially correlated bi-partite qutrit system. We
obtain the value of Negativity in our bi-partite qutrit to be 0.85 +/- 0.03 and
the Entanglement of Formation(EOF) to be 1.23 +/- 0.01. In terms of quantifying
the deviation from the maximally entangled state, the Negativity value
demonstrates ~15 % deviation while the EOF value demonstrates ~24 % deviation.
This serves as the first experimental evidence of such non-equivalence of
entanglement measures for higher dimensional systems.
