Double Slit with an Einstein–Podolsky–Rosen Pair

@article{Peled2020DoubleSW,
  title={Double Slit with an Einstein–Podolsky–Rosen Pair},
  author={Bar Y. Peled and Amit Te'eni and Danko D. Georgiev and Avishy Carmi and Eliahu Cohen},
  journal={Applied Sciences},
  year={2020}
}
In this somewhat pedagogical paper we revisit complementarity relations in bipartite quantum systems. Focusing on continuous-variable systems, we examine the influential class of EPR-like states through a generalization to Gaussian states and present some new quantitative relations between entanglement and local interference within symmetric and asymmetric double-double-slit scenarios. This approach is then related to ancilla-based quantum measurements, and weak measurements in particular… 

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References

SHOWING 1-10 OF 40 REFERENCES

Path predictability and quantum coherence in multi-slit interference

In an asymmetric multislit interference experiment, a quanton is more likely to pass through certain slits than some others. In such a situation one may be able to predict which slit a quanton is

A complementarity experiment with an interferometer at the quantum–classical boundary

An experimental investigation of complementarity using an interferometer in which the properties of one of the beam-splitting elements can be tuned continuously from being effectively microscopic to macroscopic, illustrating the quantum to classical transition.

A nonlocal wave–particle duality

We propose and analyse a modified ghost-interference experiment, and show that revealing the particle nature of a particle passing through a double-slit hides the wave nature of a spatially separated

Bounds on nonlocal correlations in the presence of signaling and their application to topological zero modes

Bell’s theorem renders quantum correlations distinct from those of any local-realistic model. Although being stronger than classical correlations, quantum correlations are limited by the Tsirelson

Entanglement in continuous-variable systems: recent advances and current perspectives

We review the theory of continuous-variable entanglement with special emphasis on foundational aspects, conceptual structures and mathematical methods. Much attention is devoted to the discussion of

Complementarity and the quantum eraser.

We present various experiments demonstrating the mutual exclusivity of observing interference and which-path information, as demanded by Bohr's complementarity principle. Using photon pairs created

Nonlocal quantum erasure of phase objects

The Franson interference is a fourth order interference effect, which unlike the better known Hong-Ou-Mandel interference, does not require the entangled photon pairs to be present at the same

Duality of quantum coherence and path distinguishability

We derive a generalized wave-particle duality relation for arbitrary multipath quantum interference phenomena. Beyond the conventional notion of the wave nature of a quantum system, i.e., the

On the Significance of the Quantum Mechanical Covariance Matrix

This work shows that the extent of binary correlations in a general class of nonlocal theories can be characterized by the existence of a certain covariance matrix, and suggests that the Tsallis entropy with parameter q=1/2 is a natural operational measure of non-classicality.

Weak measurement, projective measurement and quantum-to-classical transitions in electron-photon interactions.

How does the quantum-to-classical transition of measurement occur? This question is vital for both foundations and applications of quantum mechanics. We present a full characterization of classical