Double Slit with an Einstein–Podolsky–Rosen Pair

Abstract

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. Finally, we tie up the notions of distinguishability, predictability, coherence and visibility while drawing some specific connections between them. arXiv:2001.07168v1 [quant-ph]

In Praise of Quantum Uncertainty

“…(3) Not only the Tsirelson bound is found but also the Tsirelson-Landau-Masanes (TLM) bound [ 56 , 57 , 58 ], as well as new, hitherto unnoticed bounds. (4) It has already proved useful in deriving new outcomes [ 59 , 60 , 61 ].…”

“…Similar relations apply to multiple-input-multiple-output, multipartite scenarios [ 1 , 55 ]. Moreover, this approach can be extended through the use of “complex correlations” to non-Hermitian, signaling operators [ 60 ] and to continuous variables [ 61 ]. Finally, our approach has given rise to multiplicative Bell inequalities and their Tsirelson bounds [ 59 ], as well as several other results currently underway.…”

Special Issue on Quantum Optics for Fundamental Quantum Mechanics

“…The arguments covered in the previous section are then developed in the research articles, which consist of eight papers, offering a panorama of the present studies in quantum optics and analyzing some specific issues of the different lines of research in which this field is structured. In summary, issues concerning non-locality studies range from the application of the de Broglie-Bohm model to Gauss-Maxwell beams [13] to revisiting complementarity relations in bipartite quantum systems [14]; correlations in atoms are investigated in [15,16], photon emission and statistics in [17,18] and methods in quantum technologies in [19,20] The first paper [13] of this section deals with a Bohmian-based approach to Gauss-Maxwell beams, a particularly appropriate and natural tool in optical problems dealing with Gaussian beams acted or manipulated by polarizers: a hydrodynamic-type extension of such a formulation is provided and discussed, complementing the notion of the electromagnetic field with that of (electromagnetic) flow or streamline. The described features confer the approach a potential interest in the analysis and description of single-photon experiments.…”

“…The complementarity relations in bipartite quantum systems are revisited in paper [14], where, by focusing on continuous-variable systems, the authors examine the influential class of EPR-like (EPR: Einstein Podolsky Rosen) states through a generalization to Gaussian states and introduce some new quantitative relations between entanglement and local interference within symmetric and asymmetric double-double-slit scenarios. In the paper, this approach is then related to ancilla-based quantum measurements and specifically to the paradigm of weak measurements.…”

Threshold in Quantum Correlated Interference for a Particle Interacting with Two Scatterers

“…[13] Calculations on a pair of correlated particles that traverse interferometers whose components are treated as classical potentials also predict marginal distributions that vanish. [2,14] Two-body interference has been observed with a Bose-Einstein condensate that uses a potential well as a classical double slit but marginal distributions were not measured. [15] Marginal distributions also play an important role in quantum computing due to the difficultly in measuring all of the qubits after completion of a computation.…”