DISTANT CORRELATIONS
Professor Herbut, in close collaboration with professor Milan Vujicic,
has been working for decades on this topic. Their main results are:
a) Definition of the concept of distant measurement and investigation
of its role in so-called distant correlations (synonyms: quantum nonseparability
and quantum nonlocality), [1].
b) Definition of the concept of an Einstein-Podolsky-Rosen state and
its detailed study, [2].
c) Clarification of the relation between the Pauli principle and distant
correlations in ref. [3].
d) Schrodinger's concept of "steering", i. e., of distant
state preparation, was further elaborated [4].
e) It was proved that in all pure states of composite systems distant
correlations are due to conditional probabilities [5].
f) The quantum-mechanical techniques developed for distant correlations
are summed up (with new and simpler proofs) and applied to developing a
general theory of quantum teleportation in preprints [6] and [7]. (Work
in collaboration with his students Vlada Bozin, Marina Hruska, and Nikola
Paunkovic).
g) It was shown, [8], that the Herbut-Vujicic approach to distant correlations,
developed in previous work, can be recognized and is very helpful in gaining
insight in an important modern experiment, in that of P.G. Kwiat, A. M.
Steinberg and R.Y. Chiao on quantum erasure [9].
References:
1. F. Herbut and M.
Vujicic,
Distant measurement.
Annals of Physics 96 (1976) 382-405.
2. M. Vujicic and F.
Herbut,
A quantum-mechanical theory of distant correlations.
Journal of Mathematical Physics 25 (1984) 2253-2259.
3. F. Herbut and M.
Vujicic,
Irrelevance of the Pauli principle in distant correlations between
identical
fermions
Journal of Physics A20 (1987) 5555-5563.
4. M. Vujicic and F.
Herbut,
Distant steering: Schrodinger's version of quantum nonseparability.
Journal of Physics A21 (1988) 2931-2939.
5. F. Herbut,
How to define systematically all possible two-particle state vectors
in terms
of conditional probabilities.
Journal of Physics A23 (1990) 367-369.
6. V. Bozin, M. Hruska, N. Paunkovic and F.
Herbut,
On quantum teleportation. I Distant preparation and statistical
teleportation.
Preprint 1997.
7. N. Paunkovic, M. Hruska, V. Bozin and F.
Herbut,
On quantum teleportation. II Statistical and deterministic teleportation.
Preprint 1997.
8. F. Herbut and M.
Vujicic,
First-quantization quantum-mechanical insight into the Hong-Ou-Mandel
two-photon interferometer with polarizers and its role as a quantum
eraser.
Physical Review A56 (1997) 931-935.
9. P. G. Kwiat, A. M. Steinberg, and R. Y. Chiao,
Observation of a "quantum eraser": A revival of coherence
in a two-photon
interference experiment.
Physical Review A45 (1992) 7729-7739.