What Is So Special about Quantum Clicks?

Abstract

<jats:p>This is an elaboration of the “extra” advantage of the performance of quantized physical systems over classical ones, both in terms of single outcomes as well as probabilistic predictions. From a formal point of view, it is based on entities related to (dual) vectors in (dual) Hilbert spaces, as compared to the Boolean algebra of subsets of a set and the additive measures they support.</jats:p>

Generalized Greenberger–Horne–Zeilinger Arguments from Quantum Logical Analysis

“…These orthogonal projection operators are formed by the dyadic products of the vectors (9). This review is the continuation of an ongoing effort [11,51] to transcribe and (de)construct well-known arguments from the foundations of quantum mechanics into a logico-algebraic context. The operators of the GHZ argument had to be delineated in terms of their spectral form, revealing the propositional structure in terms of the orthogonal projection operators.…”

Quantum violation of the Suppes-Zanotti inequalities and "contextuality"

“…Classical bounds on probabilities and expectations can be expected to be "violated" by or "being different" from quantum probabilities and expectations because the latter are based on multi-dimensional vectorial entities whereas the former are based on scalars in (sub)sets of power sets. Exactly how these violations are operationalized and measured has developed from an intuitive, heuristic search in the early days [1][2][3] into a systematic method [4][5][6][7][8].…”

Quantum Randomness is Chimeric

“…Arguably, the occurrence or non-occurrence of such a click is the most elementary, binary observable one could think of. However, while the (non)registration of detector clicks may be considered indisputable (for all practical purposes [ 93 ], and notwithstanding quantum erasures or haunted measurements [ 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 ]) the “meaning” of such clicks [ 157 ] remain open to a great variety of perceptions, interpretations, and understandings.…”