A relação de incerteza de Maccone-Pati

Maziero, Jonas

doi:10.1590/1806-9126-rbef-2017-0014

Cited by 3 publications

(4 citation statements)

References 29 publications

(45 reference statements)

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“…∆B is similarly defined. We then minimize the quantity ∆A + ∆B [96][97][98][99][100] over the states |φ , for a fixed R. The behavior of the uncertainty sum is then plotted with respect to R in figure 4. We find that although the minimal uncertainty sum has significant variation for different values of the parameter R, the maximal wave-particle duality sum, C + D remains frozen in that range.…”

Section: Quantum Resource Theorymentioning

confidence: 99%

Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers

Das¹,

Mukhopadhyay²,

Roy³

et al. 2020

J. Phys. A: Math. Theor.

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We propose the notion of quantum coherence for superpositions over states which are not necessarily mutually distinguishable. This anticipatedly leads to a resource theory of non-orthogonal coherence. We characterize free states and free operations in this theory, and connect the latter with free operations in the resource theory of quantum coherence for distinguishable bases. We show that the concept of non-orthogonal coherence naturally furnishes us with a wave-particle duality in quantum double-slit experiments where the channels beyond the slits are leaky between them. Furthermore, we demonstrate existence of a unique maximally coherent qubit state corresponding to any given purity. In addition, and in contradistinction with the case of distinguishable bases, there appears a non-trivial minimally coherent qubit state for a given purity. We also study the behavior of quantum coherence for some typical configurations of non-orthogonal bases which have no analogs for orthogonal bases. We further investigate the problem of determining the energy cost of creating non-orthogonal coherence, and find that it scales linearly with the non-orthogonal coherence created.

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Section: Quantum Resource Theorymentioning

confidence: 99%

Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers

Das¹,

Mukhopadhyay²,

Roy³

et al. 2020

J. Phys. A: Math. Theor.

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“…There are several different groups of uncertainty relations [194,[287][288][289] All three groups of relations relate to measurement, but they do so in very different ways. For example, only the Heisenberg joint measurement group of relations deal with the extent to which two quantities can be measured at the same time.…”

Section: Uncertainty: a Feature Of Statistics But Not Necessarily Of mentioning

confidence: 99%

“…The Kennard-Weyl-Robertson uncertainty relations depend on the state. Some states involve, for specific measurement types, no statistical fluctuation in measurement event outcomes, and the lower bound is zero [25,289].…”

Section: Uncertainty: a Feature Of Statistics But Not Necessarily Of mentioning

confidence: 99%

Understanding quantum mechanics: a review and synthesis in precise language

Drummond¹

2019

Open Physics

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This review, of the understanding of quantum mechanics, is broad in scope, and aims to reflect enough of the literature to be representative of the current state of the subject. To enhance clarity, the main findings are presented in the form of a coherent synthesis of the reviewed sources. The review highlights core characteristics of quantum mechanics. One is statistical balance in the collective response of an ensemble of identically prepared systems, to differing measurement types. Another is that states are mathematical terms prescribing probability aspects of future events, relating to an ensemble of systems, in various situations. These characteristics then yield helpful insights on entanglement, measurement, and widely-discussed experiments and analyses. The review concludes by considering how these insights are supported, illustrated and developed by some specific approaches to understanding quantum mechanics. The review uses non-mathematical language precisely (terms defined) and rigorously (consistent meanings), and uses only such language. A theory more descriptive of independent reality than is quantum mechanics may yet be possible. One step in the pursuit of such a theory is to reach greater consensus on how to understand quantum mechanics. This review aims to contribute to achieving that greater consensus, and so to that pursuit.

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“…Embora exista uma ampla literatura voltada para discussões acerca do Princípio da Incerteza, incluindo diferentes derivações e generalizações do princípio [7][8][9][10][11][12][13][14][15][16][17], estudos voltados para discussões fenomenológicas, centrados no experimento mental do microscópio de raios-gama proposto por Heisenberg em 1927 [18][19][20][21] e, ainda, trabalhos que buscam discutir conceitualmente o Princípio da Incerteza, suas implicações teóricas e possíveis interpretações, [22][23][24][25], a maioria dos trabalhos costuma ser voltada a pesquisadores e estudiosos da área, tornando pouco provável sua utilização como instrumento auxiliar para o ensino da Teoria Quântica. Na literatura nacional já existem estudos voltados para a discussão de aspectos matemáticos [26] e filosóficointerpretativos do Princípio da Incerteza [27].…”

Section: Introductionunclassified

Diferentes proposições do princípio da incerteza para posição e momentum: integrando formalismo matemático, fenomenologia e interpretações no ensino da teoria quântica

Rosa

Lima

Cavalcanti

2022

Rev. Bras. Ensino Fís.

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O Princípio da Incerteza, proposto pelo físico Werner Heisenberg em 1927, possui centralidade no desenvolvimento Teoria Quântica e desde sua formulação assume uma pluralidade de interpretações, derivações matemáticas e experimentos mentais que buscam explorá-lo em profundidade. Entretanto, os livros didáticos, que possuem papel importante na formação de cientistas e professores de ciência, usualmente optam por privilegiar somente alguns de seus principais aspectos, limitando a apresentação do Princípio da Incerteza nos cursos de Teoria Quântica do ensino superior. Com o objetivo de ampliar as discussões sobre o Princípio da Incerteza para as variáveis posição e momentum e contribuir com o Ensino da Teoria Quântica, ao longo deste texto apresentamos o Princípio da Incerteza em três diferentes níveis (formalismo matemático, fenomenologia e interpretação). Começamos resgatando de forma didática quatro diferentes derivações históricas do Princípio da Incerteza: as derivações de Heisenberg e Weyl para as variáveis posição e momentum, e as derivações de Robertson e Schrödinger para dois observáveis quaisquer A e B. Em seguida, retomamos dois experimentos mentais propostos por Heisenberg: o microscópio de raios-gama e o elétron passando por uma fenda. Por fim, apresentamos quatro principais escolas de interpretação do Princípio da Incerteza.

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A relação de incerteza de Maccone-Pati

Cited by 3 publications

References 29 publications

Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers

Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers

Understanding quantum mechanics: a review and synthesis in precise language

Diferentes proposições do princípio da incerteza para posição e momentum: integrando formalismo matemático, fenomenologia e interpretações no ensino da teoria quântica

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