Biphoton transmission through non-unitary objects

Generation of biphoton correlation trains through spectral filtering.

We demonstrate the generation of two-photon correlation trains based on spectral filtering of broadband biphotons. Programmable amplitude filtering is employed to create biphoton frequency combs, which when coupled with optical dispersion allows us to experimentally verify the temporal Talbot effect for entangled photons. Additionally, an alternative spectral phase-filtering approach is shown t...

Discovering auditory objects through non-negativity constraints

We present a novel method for discovering auditory objects from scenes in a self-organized manner. Our approach is using non-negativity constraints to find the building elements of the input. Surprisingly, although devoid of any statistical measures, this approach discovers independent elements in the scene similarly to previously reported methods employing ICA algorithms. The use of non-negati...

Non Unitary Random Walks

Motivated by the recent refutation of information loss paradox in black hole by Hawking, we investigate the new concept of non unitary random walks. In a non unitary random walk, we consider that the state 0, called the black hole, has a probability weight that decays exponentially in e−λt for some λ > 0. This decaying probabilities affect the probability weight of the other states, so that the...

Non-unitary Valuation Subalgebras

Unitary and Non-Unitary Evolution in Quantum Cosmology

We analyse when and why unitarity violations might occur in quantum cosmology restricted to minisuperspace. To this end we discuss in detail backscattering transitions between expanding and contracting solutions of the Wheeler-DeWitt equation. We first show that upon neglecting only backscattering, one obtains an intermediate regime in which matter evolves unitarily but which does not correspon...