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.