Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Advances in physics theories and applications

Bell Nonlocality Universally Confirmed In Any Large Communication Complexity Advantage, Bell Nonlocal Correlations, Communication Complexity And The Violation Of A Bell Inequality, Communication Complexity And The Violation Of A Bell Inequality-2, Exchang

K.N.P. Kumar

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

We study the following system with concomitant properties: Bell Nonlocality Universally Confirmed In Any Large Communication Complexity Advantage, Bell Nonlocal Correlations, Communication Complexity And The Violation Of A Bell Inequality, Communication Complexity And The Violation Of A Bell Inequality-2, Exchange Of The Information After Simultaneous Teleportation To Reveal The Path Of The Teleported System In A Three-Round Protocol, Efficient Teleportation Protocol, Protocols That Use Initial Entanglement Should Be Even More Explicitly Bell Nonlocal, Classical And Quantum Communication Complexity, Asymptotic Teleportation Scheme : Universal Programmable Quantum Processor, Quantum Teleportation Scheme By Selecting One Of Multiple Output Ports, String Theory Basics The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-586138-592334.pdf

Related papers

Quantum communication complexity advantage implies violation of a Bell inequality

Harry Buhrman, Łukasz Czekaj, Andrzej Grudka +5 more

Significance For many communication complexity problems the quantum strategies, distinguished by using Bell nonlocal correlations, provide exponential advantage over the best possible classical strategies. Conversely, for any Bell nonlocal correlations there exists a communication complexity problem that is solved more efficiently using the former. Despite many efforts, there were only two problems for which one could certify that any strategy that outperforms the classical one must harbor Bell nonlocal correlations. We prove that any large advantage over the best known classical strategy makes use of Bell nonlocal correlations. Thus, we provide the missing link to the fundamental equivalence between Bell nonlocality and quantum advantage.

arXiv:1502.01058•Proceedings of the National Academy of Sciences•Mar 8, 2016•56 citations

Bell Nonlocality: Guaranteeing Unclonable Quantum Teleportation

Revista, Zen, PHYSICS, 10

Quantum teleportation, a cornerstone of quantum information science, allows for the transfer of an unknown quantum state without physically moving the associated quantum particle. This process critically relies on shared entanglement and classical communication. A fundamental aspect of quantum information is the no-cloning theorem, which dictates that an arbitrary unknown quantum state cannot be perfectly copied. This paper investigates the intrinsic connection between Bell nonlocality, a profound manifestation of quantum entanglement, and the inherent unclonability of quantum teleportation. We argue that the very existence of Bell nonlocality within the shared entangled resource not only enables quantum teleportation but also fundamentally guarantees that the teleported state cannot be perfectly cloned. By examining the theoretical underpinnings of Bell's theorem and the quantum teleportation protocol, we demonstrate how the non-local correlations preclude any possibility of state duplication, thereby upholding the no-cloning theorem. This connection is vital for understanding the security and foundational aspects of quantum communication, establishing Bell nonlocality as a strong certification of secure, non-duplicable quantum state transfer. The analysis highlights that successful quantum teleportation, intrinsically linked to the violation of Bell inequalities, provides an experimental signature of the non-classical correlations that underpin security against cloning.

•Nov 28, 2025•0 citations

Quantum communication. Non-classical correlations and their applications

Tomasz Paterek

In the first part of this thesis Bell's theorem is revisited. It points at a difference between the quantum and the classical world. This difference is often behind the advantages of solutions using quantum mechanics. New and more general versions of Bell inequalities are presented. These inequalities involve multiple settings per observer. Compared with the two-setting inequalities, the new ones reveal the non-classical character of a broader class of states. Some of them are also proven to be optimal (tight). Next, we go beyond Bell's theorem. It is shown, both in theory and in experiment, that incompatibility between quantum mechanics and realistic theories can be extended into an important class of nonlocal models. We also show that the violation of Bell inequalities disqualifies local realistic models with a limited lack of the experimenter's freedom. This, at first glance quite philosophical result, has its down-to-earth implications for quantum communication. In the second part of the thesis well-known examples of quantum communication are reviewed. Next, new results concerning quantum cryptography and quantum communication complexity are given.

arXiv:0708.3062•Aug 22, 2007•0 citations

Does violation of a Bell inequality always imply quantum advantage in a communication complexity problem?

Armin Tavakoli, Marek Żukowski, Časlav Brukner

Quantum correlations which violate a Bell inequality are presumed to power better-than-classical protocols for solving communication complexity problems (CCPs). How general is this statement? We show that violations of correlation-type Bell inequalities allow advantages in CCPs, when communication protocols are tailored to emulate the Bell no-signaling constraint (by not communicating measurement settings). Abandonment of this restriction on classical models allows us to disprove the main result of, inter alia, \cite{BZ02}; we show that quantum correlations obtained from these communication strategies assisted by a small quantum violation of the CGLMP Bell inequalities do not imply advantages in any CCP in the input/output scenario considered in the reference. More generally, we show that there exists quantum correlations, with nontrivial local marginal probabilities, which violate the I3322 Bell inequality, but do not enable a quantum advantange in any CCP, regardless of the communication strategy employed in the quantum protocol, for a scenario with a fixed number of inputs and outputs

arXiv:1907.01322•Quantum•Sep 7, 2020•20 citations

Nonlocality in Remote State Preparation vis-a-vis Teleportation

Aiman Khan, Som Kanjilal, Dipankar Home

The hitherto unexplored nonlocality of quantum correlations in the information transfer protocol of remote state preparation (RSP) is investigated in terms of a unified nonlocality argument formulated for teleportation as well as for two distinct RSP schemes. The argument differs only in the respective types of local measurements used in each scenario. One of the RSP schemes uses single particle projective measurements, while the other uses joint Bell-basis measurements. Interestingly, the quantum mechanical violations of the Bell-CHSH type inequalities formulated for each of the RSP setups, while being equal to each other, also turn out to be equal to that of the corresponding Bell-CHSH type local realist inequality for teleportation, using the common resource of non-maximally entangled state. This reveals that for such a resource state, the maximum amount of extractable nonlocality of correlations involved in the transfer of information is the same for the standard teleportation protocol and the two RSP schemes considered here, thereby implying that the essential difference between teleportation and remote state preparation lies in the amount of classical information required to be exchanged between parties, and not in the nonlocality of underlying correlations.

arXiv:1612.01136•Dec 4, 2016•0 citations

Thermodynamic Aspects Of Information Transfer In Complex Dynamical Systems, Causation Entropy From Symbolic Representations Of Dynamical Systems, Quantum Cognition Based On An Ambiguous Representation, Expression Of Apprehension And Judgment, Basic Cognit

K.N.P. Kumar

Models are given with concomitant properties for the following concatenated system: Dynamical Systems, Causation Entropy From Symbolic Representations Of Dynamical Systems, Quantum Cognition Based On An Ambiguous Representation, Expression Of Apprehension And Judgment, Basic Cognitive Process Of Decision Making, As An Inverse Bayes Inference Classifying The Information Content Of Neuron Spike Trains, A Priori And A Posteriori Hypotheses In Bayes Inference Are Replaced By The Upper And Lower Approximations, Logical Structure Of Such Combined Approximations Can Only Be Expressed As An Orthomodular Lattice And Therefore Can Be Represented By A Quantum Rather Than A Boolean Logic, Apprehension We Understand The Coherent Perception Correlated With The Recruitment And Engagement In Collective Behavior Of The Required Neuronal Populations, Quantum-Like Behavior In Language, Concep The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-680007-686491.pdf

Advances in physics theories and applications•Jan 1, 2013•0 citations
We study the following system with concomitant properties: Bell Nonlocality Universally Confirmed In Any Large Communication Complexity Advantage, Bell Nonlocal Correlations, Communication Complexity And The Violation Of A Bell Inequality, Communication Complexity And The Violation Of A Bell Inequality-2, Exchange Of The Information After Simultaneous Teleportation To Reveal The Path Of The Teleported System In A Three-Round Protocol, Efficient Teleportation Protocol, Protocols That Use Initial Entanglement Should Be Even More Explicitly Bell Nonlocal, Classical And Quantum Communication Complexity, Asymptotic Teleportation Scheme : Universal Programmable Quantum Processor, Quantum Teleportation Scheme By Selecting One Of Multiple Output Ports, String Theory Basics The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-586138-592334.pdf
Significance For many communication complexity problems the quantum strategies, distinguished by using Bell nonlocal correlations, provide exponential advantage over the best possible classical strategies. Conversely, for any Bell nonlocal correlations there exists a communication complexity problem that is solved more efficiently using the former. Despite many efforts, there were only two problems for which one could certify that any strategy that outperforms the classical one must harbor Bell nonlocal correlations. We prove that any large advantage over the best known classical strategy makes use of Bell nonlocal correlations. Thus, we provide the missing link to the fundamental equivalence between Bell nonlocality and quantum advantage.
Quantum teleportation, a cornerstone of quantum information science, allows for the transfer of an unknown quantum state without physically moving the associated quantum particle. This process critically relies on shared entanglement and classical communication. A fundamental aspect of quantum information is the no-cloning theorem, which dictates that an arbitrary unknown quantum state cannot be perfectly copied. This paper investigates the intrinsic connection between Bell nonlocality, a profound manifestation of quantum entanglement, and the inherent unclonability of quantum teleportation. We argue that the very existence of Bell nonlocality within the shared entangled resource not only enables quantum teleportation but also fundamentally guarantees that the teleported state cannot be perfectly cloned. By examining the theoretical underpinnings of Bell's theorem and the quantum teleportation protocol, we demonstrate how the non-local correlations preclude any possibility of state duplication, thereby upholding the no-cloning theorem. This connection is vital for understanding the security and foundational aspects of quantum communication, establishing Bell nonlocality as a strong certification of secure, non-duplicable quantum state transfer. The analysis highlights that successful quantum teleportation, intrinsically linked to the violation of Bell inequalities, provides an experimental signature of the non-classical correlations that underpin security against cloning.
In the first part of this thesis Bell's theorem is revisited. It points at a difference between the quantum and the classical world. This difference is often behind the advantages of solutions using quantum mechanics. New and more general versions of Bell inequalities are presented. These inequalities involve multiple settings per observer. Compared with the two-setting inequalities, the new ones reveal the non-classical character of a broader class of states. Some of them are also proven to be optimal (tight). Next, we go beyond Bell's theorem. It is shown, both in theory and in experiment, that incompatibility between quantum mechanics and realistic theories can be extended into an important class of nonlocal models. We also show that the violation of Bell inequalities disqualifies local realistic models with a limited lack of the experimenter's freedom. This, at first glance quite philosophical result, has its down-to-earth implications for quantum communication. In the second part of the thesis well-known examples of quantum communication are reviewed. Next, new results concerning quantum cryptography and quantum communication complexity are given.
Quantum correlations which violate a Bell inequality are presumed to power better-than-classical protocols for solving communication complexity problems (CCPs). How general is this statement? We show that violations of correlation-type Bell inequalities allow advantages in CCPs, when communication protocols are tailored to emulate the Bell no-signaling constraint (by not communicating measurement settings). Abandonment of this restriction on classical models allows us to disprove the main result of, inter alia, \cite{BZ02}; we show that quantum correlations obtained from these communication strategies assisted by a small quantum violation of the CGLMP Bell inequalities do not imply advantages in any CCP in the input/output scenario considered in the reference. More generally, we show that there exists quantum correlations, with nontrivial local marginal probabilities, which violate the I3322 Bell inequality, but do not enable a quantum advantange in any CCP, regardless of the communication strategy employed in the quantum protocol, for a scenario with a fixed number of inputs and outputs
The hitherto unexplored nonlocality of quantum correlations in the information transfer protocol of remote state preparation (RSP) is investigated in terms of a unified nonlocality argument formulated for teleportation as well as for two distinct RSP schemes. The argument differs only in the respective types of local measurements used in each scenario. One of the RSP schemes uses single particle projective measurements, while the other uses joint Bell-basis measurements. Interestingly, the quantum mechanical violations of the Bell-CHSH type inequalities formulated for each of the RSP setups, while being equal to each other, also turn out to be equal to that of the corresponding Bell-CHSH type local realist inequality for teleportation, using the common resource of non-maximally entangled state. This reveals that for such a resource state, the maximum amount of extractable nonlocality of correlations involved in the transfer of information is the same for the standard teleportation protocol and the two RSP schemes considered here, thereby implying that the essential difference between teleportation and remote state preparation lies in the amount of classical information required to be exchanged between parties, and not in the nonlocality of underlying correlations.
Models are given with concomitant properties for the following concatenated system: Dynamical Systems, Causation Entropy From Symbolic Representations Of Dynamical Systems, Quantum Cognition Based On An Ambiguous Representation, Expression Of Apprehension And Judgment, Basic Cognitive Process Of Decision Making, As An Inverse Bayes Inference Classifying The Information Content Of Neuron Spike Trains, A Priori And A Posteriori Hypotheses In Bayes Inference Are Replaced By The Upper And Lower Approximations, Logical Structure Of Such Combined Approximations Can Only Be Expressed As An Orthomodular Lattice And Therefore Can Be Represented By A Quantum Rather Than A Boolean Logic, Apprehension We Understand The Coherent Perception Correlated With The Recruitment And Engagement In Collective Behavior Of The Required Neuronal Populations, Quantum-Like Behavior In Language, Concep The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-680007-686491.pdf