We investigate which pure states of n photons in d modes can be transformed into each other via linear optics, without post-selection. In other words, we study the local unitary (LU) equivalence classes of symmetric many-qudit states. We provide a straightforward method for calculating invariants, which can be also measured experimentally.The results are related the feasibility of generating quantum states from others in the lab, when using only beam splitters and waveplates.
We introduce a constructive procedure that maps all spatialcorrelations of a broad class of states into temporal correlationsbetween general quantum measurements. This allows us to presenttemporal phenomena analogous to genuinely multipartite nonlocalphenomena, such as Greenberger-Horne-Zeilinger correlations, which donot exist if only projective measurements on qubits are considered.The map is applied to certain lattice systems in order to replace onespatial dimension with a temporal one, without affecting measuredcorrelations. We use this map to show how repeated application of a1d-cluster-gate leads to universal one-way quantum computing whensupplemented with the general measurements.
I will describe the process of extraction of entanglement from the vacuum, using a system of three space-like separated detectors, that get entangled even though they could not have been in causal contact. The amounts of tripartite and bipartite entanglement extracted will be compared in various settings.