Pub Date : 2023-09-28DOI: 10.1007/s40509-023-00309-0
Michal Baczyk, Ghislain Fourny
Abstract We suggest to look at quantum measurement outcomes not through the lens of probability theory, but instead through decision theory. We introduce an original game-theoretical framework, model and algorithmic procedure where measurement scenarios are multiplayer games with a structure all observers agree on. Measurement axes and, newly, measurement outcomes are modeled as decisions with nature being an action-minimizing economic agent. We translate physical notions of causality, correlation, counterfactuals, and contextuality to particular aspects of game theory. We investigate the causal consistency of dynamic games with imperfect information from the quantum perspective and conclude that counterfactual dependencies should be distinguished from causation and correlation as a separate phenomenon of its own. Most significantly, we observe that game theory based on Nash equilibria stands in contradiction with a violation of Bell inequalities. Hence, we propose that quantum physics should be analyzed with non-Nashian game theory, the inner workings of which we demonstrate using our proposed model.
{"title":"Nashian game theory is incompatible with quantum physics","authors":"Michal Baczyk, Ghislain Fourny","doi":"10.1007/s40509-023-00309-0","DOIUrl":"https://doi.org/10.1007/s40509-023-00309-0","url":null,"abstract":"Abstract We suggest to look at quantum measurement outcomes not through the lens of probability theory, but instead through decision theory. We introduce an original game-theoretical framework, model and algorithmic procedure where measurement scenarios are multiplayer games with a structure all observers agree on. Measurement axes and, newly, measurement outcomes are modeled as decisions with nature being an action-minimizing economic agent. We translate physical notions of causality, correlation, counterfactuals, and contextuality to particular aspects of game theory. We investigate the causal consistency of dynamic games with imperfect information from the quantum perspective and conclude that counterfactual dependencies should be distinguished from causation and correlation as a separate phenomenon of its own. Most significantly, we observe that game theory based on Nash equilibria stands in contradiction with a violation of Bell inequalities. Hence, we propose that quantum physics should be analyzed with non-Nashian game theory, the inner workings of which we demonstrate using our proposed model.","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135386067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-18DOI: 10.1007/s40509-023-00307-2
Toru Fuda, Daiju Funakawa, S. Sasayama, A. Suzuki
{"title":"Eigenvalues and threshold resonances of a two-dimensional split-step quantum walk with strong shift","authors":"Toru Fuda, Daiju Funakawa, S. Sasayama, A. Suzuki","doi":"10.1007/s40509-023-00307-2","DOIUrl":"https://doi.org/10.1007/s40509-023-00307-2","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44450165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-26DOI: 10.1007/s40509-023-00308-1
N. Konno
{"title":"On the relation between quantum walks and absolute zeta functions","authors":"N. Konno","doi":"10.1007/s40509-023-00308-1","DOIUrl":"https://doi.org/10.1007/s40509-023-00308-1","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45269454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-23DOI: 10.1007/s40509-023-00305-4
F. M. Fernández
{"title":"Comment on “Position-dependent mass Schrödinger particles in space-like screw dislocation: associated degeneracies and magnetic and Aharonov–Bohm flux fields effects”","authors":"F. M. Fernández","doi":"10.1007/s40509-023-00305-4","DOIUrl":"https://doi.org/10.1007/s40509-023-00305-4","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42076875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-18DOI: 10.1007/s40509-023-00303-6
S. Bukbech, K. El Anouz, Z. El Allali, N. Metwally, A. El Allati
{"title":"Multiparameter estimation for a two-qubit system coupled to independent reservoirs using quantum Fisher information","authors":"S. Bukbech, K. El Anouz, Z. El Allali, N. Metwally, A. El Allati","doi":"10.1007/s40509-023-00303-6","DOIUrl":"https://doi.org/10.1007/s40509-023-00303-6","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43378639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-02DOI: 10.1007/s40509-023-00302-7
N. Goldstein
{"title":"No composite systems in quaternionic quantum mechanics","authors":"N. Goldstein","doi":"10.1007/s40509-023-00302-7","DOIUrl":"https://doi.org/10.1007/s40509-023-00302-7","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":"10 1","pages":"399 - 403"},"PeriodicalIF":0.8,"publicationDate":"2023-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42320405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-24DOI: 10.1007/s40509-023-00300-9
Rahul Kumar, A. K. Pan
{"title":"Sharing nonlocality in a network using the quantum violation of chain network inequality","authors":"Rahul Kumar, A. K. Pan","doi":"10.1007/s40509-023-00300-9","DOIUrl":"https://doi.org/10.1007/s40509-023-00300-9","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":"10 1","pages":"353 - 372"},"PeriodicalIF":0.8,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44642528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-08DOI: 10.1007/s40509-023-00298-0
Jagat Ram, Dev Dutt, S. Dhiman, B. K. Behera, P. Panigrahi
{"title":"Entanglement concentration of multi-qubit entangled states: an IBM quantum experience","authors":"Jagat Ram, Dev Dutt, S. Dhiman, B. K. Behera, P. Panigrahi","doi":"10.1007/s40509-023-00298-0","DOIUrl":"https://doi.org/10.1007/s40509-023-00298-0","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":"1 1","pages":"1-14"},"PeriodicalIF":0.8,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42178853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-10DOI: 10.1007/s40509-023-00294-4
K. Nagata, Renata Wong, Do Ngoc Diep, Tadao Nakamura
{"title":"Quantum cryptography based on an algorithm for determining simultaneously all the mappings of a Boolean function","authors":"K. Nagata, Renata Wong, Do Ngoc Diep, Tadao Nakamura","doi":"10.1007/s40509-023-00294-4","DOIUrl":"https://doi.org/10.1007/s40509-023-00294-4","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":"1 1","pages":"1-13"},"PeriodicalIF":0.8,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48629180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-01DOI: 10.1007/s40509-023-00295-3
S. C. Tiwari
{"title":"Schroedinger equation, spin and topology","authors":"S. C. Tiwari","doi":"10.1007/s40509-023-00295-3","DOIUrl":"https://doi.org/10.1007/s40509-023-00295-3","url":null,"abstract":"","PeriodicalId":42871,"journal":{"name":"Quantum Studies-Mathematics and Foundations","volume":"10 1","pages":"293-305"},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45804914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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