Reflections on Zeilinger–Brukner Information Interpretation of Quantum Mechanics

Khrennikov, Andrei

doi:10.1007/s10701-016-0005-z

Cited by 3 publications

(3 citation statements)

References 32 publications

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“…The high-dimensional bipartite case is much more complex than the case of single-partite one. 26,[29][30][31][32][33][34][37][38][39][40][41][42] Therefore, as one sees in Method A, it is not surprising that the derivation of our uncertainty relations needs subtle mathematical techniques.…”

Section: Discussionmentioning

confidence: 99%

“…[30][31][32][33][34][35][36] Moreover, a series of works have been shown, together with many applications, that in single quantum system, the sum of the individual measures of information for MUBs is invariant under the choice of the particular set of complementary observations and conserved if there is no information exchange with environments. 26,[29][30][31][32][33][34][37][38][39][40][41][42] In this article, we adopt the information measure proposed in ref. 26 and consider the uncertainty relation in the presence of quantum memory.…”

Section: Introductionmentioning

confidence: 99%

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Uncertainty equality with quantum memory and its experimental verification

Wang

et al. 2019

npj Quantum Inf

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As a very fundamental principle in quantum physics, uncertainty principle has been studied intensively via various uncertainty inequalities. A natural and fundamental question is whether an equality exists for the uncertainty principle. Here we derive an entropic uncertainty equality relation for a bipartite system consisting of a quantum system and a coupled quantum memory, based on the information measure introduced by Brukner and Zeilinger (Phys. Rev. Lett. 83:3354, 1999). The equality indicates that the sum of measurement uncertainties over a complete set of mutually unbiased bases on a subsystem is equal to a total, fixed uncertainty determined by the initial bipartite state. For the special case where the system and the memory are the maximally entangled, all of the uncertainties related to each mutually unbiased base measurement are zero, which is substantially different from the uncertainty inequality relation. The results are meaningful for fundamental reasons and give rise to operational applications such as in quantum random number generation and quantum guessing games. Moreover, we experimentally verify the measurement uncertainty relation in the presence of quantum memory on a five-qubit spin system by directly measuring the corresponding quantum mechanical observables, rather than quantum state tomography in all the previous experiments of testing entropic uncertainty relations.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Uncertainty equality with quantum memory and its experimental verification

Wang

et al. 2019

npj Quantum Inf

View full text Add to dashboard Cite

show abstract

“…For a presentation of the Brukner-Zeilinger interpretation refer to [Brukner and Zeilinger, 1999]; [Brukner and Zeilinger, 2003]; [Kofler and Zeilinger, 2013] and [Zeilinger, 1999]. For critical remarks refer to Timpson [2003]; Timpson [2013]; [Khrennikov, 2016] and [Khrennikov et al, 2012].…”

Section: Brukner-zeilinger Interpretationmentioning

confidence: 99%

The conception of reality in Quantum Mechanics

Krizek

2017

Preprint

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Disputes on the foundations of Quantum Mechanics often involve the conception of reality, without a clear definition on which aspect of this broad concept of reality one refers. We provide an overview of conceptions of reality in classical physics, in philosophy of science and in Quantum Mechanics and its interpretations and analyse their differences and subtleties. Structural realism as conception in philosophy of science will turn out to be a promising candidate to settle old problems regarding the conception of reality in Quantum Mechanics. We amend the analysis of three main interpretations and their relation to structural realism by three well-known informational approaches in the interpretations of Quantum Mechanics. Last we propose an additional class of structural realism supported by QBism.

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Ozawa’s Intersubjectivity Theorem as Objection to QBism Individual Agent Perspective

Khrennikov

2024

Int J Theor Phys

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QBism’s foundational statement that “the outcome of a measurement of an observable is personal” is in the straight contraversion with Ozawa’s Intersubjectivity Theorem (OIT). The latter (proven within the quantum formalism) states that two observers, agents within the QBism terminology, performing joint measurements of the same observable A on a system S in the state $$\psi $$ ψ should get the same outcome $$A=x.$$ A = x . In Ozawa’s terminology, this outcome is intersubjective and it can’t be treated as personal. This is the strong objection to QBism which can’t survive without updating its principles. The essential aspect in understanding of the OIT-impact on QBism’s foundations takes the notion of quantum observable. This paper comprises the complementary discussion highlighting the difference between the accurate, von Neumann, and inaccurate, noisy, quantum observables which are represented by PVMs and POVMs respectively. Moreover, we discuss the OIT-impact on the Copenhagen interpretation of quantum mechanics.

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Reflections on Zeilinger–Brukner Information Interpretation of Quantum Mechanics

Cited by 3 publications

References 32 publications

Uncertainty equality with quantum memory and its experimental verification

Uncertainty equality with quantum memory and its experimental verification

The conception of reality in Quantum Mechanics

Ozawa’s Intersubjectivity Theorem as Objection to QBism Individual Agent Perspective

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