scholarly journals Quantum Version of a Generalized Monty Hall Game and Its Possible Applications to Quantum Secure Communications

2020 ◽  
pp. 2000427
Author(s):  
Luis Fernando Quezada ◽  
Shi‐Hai Dong
2006 ◽  
Vol 78 (3) ◽  
pp. 417-422 ◽  
Author(s):  
Claudia Zander ◽  
Montserrat Casas ◽  
Angel Plastino ◽  
Angel R. Plastino

A quantum version of the Monty Hall problem, based upon the Positive Operator Valued Measures (POVM) formalism, is proposed. It is shown that basic normalization and symmetry arguments lead univocally to the associated POVM elements, and that the classical probabilities associated with the Monty Hall scenario are recovered for a natural choice of the measurement operators.


2002 ◽  
Vol 65 (6) ◽  
Author(s):  
A. P. Flitney ◽  
D. Abbott

Author(s):  
Wim De Neys ◽  
Niki Verschueren

Abstract. The Monty Hall Dilemma (MHD) is an intriguing example of the discrepancy between people’s intuitions and normative reasoning. This study examines whether the notorious difficulty of the MHD is associated with limitations in working memory resources. Experiment 1 and 2 examined the link between MHD reasoning and working memory capacity. Experiment 3 tested the role of working memory experimentally by burdening the executive resources with a secondary task. Results showed that participants who solved the MHD correctly had a significantly higher working memory capacity than erroneous responders. Correct responding also decreased under secondary task load. Findings indicate that working memory capacity plays a key role in overcoming salient intuitions and selecting the correct switching response during MHD reasoning.


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