Understanding Quantum Raffles

Janas, Michael; Cuffaro, Michael E.; Janssen, Michel

doi:10.1007/978-3-030-85939-8

Cited by 13 publications

(54 citation statements)

References 15 publications

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“…There exist many versions of this kind of 'perspectival' solution to the measurement problem, including neo-Copenhagen interpretations [6,7] and possibly QBism [8]. What sets RQM apart is its insistence that any physical system whatsoever can play the role of an 'observer' to which facts can be relativized -by contrast, other perspectival approaches suggest that this role can be played only by macroscopic sentient beings like ourselves.…”

Section: Relational Quantum Mechanicsmentioning

confidence: 99%

Information is Physical: Cross-Perspective Links in Relational Quantum Mechanics

Adlam¹,

Rovelli²

2023

Philosophy of Physics

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Panpsychism is a theory of phenomenal consciousness which suggests that every physical system possesses some form of consiousness. One particularly important issue for panpsychism is the 'combination problem,' referring to the fact that panpsychism must offer some account of how the consciousnesses associated with individual fundamental particles combine to give rise to higher-level consciousnesses associated with beings like us.Relational quantum mechanics (RQM) is a proposed solution to the quantum measurement problem, originated by Carlo Rovelli. A central feature of RQM is that it attributes 'relative facts' to every physical system, and therefore RQM faces a problem somewhat similar to the panpsychist combination problem: it must offer some account of how the relative facts associated with individual fundamental particles are related to higher-level relative facts associated with beings like us. In this article, I use the existing literature on the panpsychist combination problem as a starting point to think about how to address this structurally similar combination problem in RQM.I begin in section 1 with an introduction to relational quantum mechanics. Then in section 2 I discuss some similarities and differences between RQM's combination problem and panpsychism's combination problem.Finally section 3 reviews a number of proposed solutions to panpsychism's combination problem, and assesses the prospects for a similar solution in the context of RQM. I will argue that overall the prospects for solving RQM's combination problem look better for RQM+CPL, the alternative version of RQM proposed in ref [1], than for orthodox versions of RQM.

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Section: Relational Quantum Mechanicsmentioning

confidence: 99%

Information is Physical: Cross-Perspective Links in Relational Quantum Mechanics

Adlam¹,

Rovelli²

2023

Philosophy of Physics

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“…In our book, Understanding Quantum Raffles [8], inspired by Bub's Bananaworld [6], we used the imagery of peeling and tasting fictitious bananas mimicking the measurement of spin components of (half-)integer spin particles. We modified Bub's banana-peeling scheme to tighten the analogy between our bananas and particles with spin.…”

Section: Preliminariesmentioning

confidence: 99%

“…4 The correlation coefficient of two stochastic variables X and Y is defined as the covariance, Cov(XY) ≡ (X − X )(Y − Y ) , divided by the standard deviations, σ X and σ Y , the square roots of the variances, (X − X ) 2 and (Y − Y ) 2 . What simplifies matters in the case of the variables A a and B b is that they are balanced, i.e., their two possible values are each other's opposite and these two values are equiprobable ( [8], p. 68). This means that their expectation values, A a and B b , vanish and that the correlation coefficient is given by…”

Section: Preliminariesmentioning

confidence: 99%

“…In Understanding Quantum Raffles [8], we used the tools introduced above to analyze the correlations found in an experimental setup due to Mermin [10] in which Alice and Bob peel and taste bananas in the singlet state choosing between three different peeling directions, a, b and c. The correlations between the tastes found by Alice and Bob in this Mermin setup can be represented by a 3×3 correlation array with cells of the form shown in Figure 2 with χ ab = − cos ϕ ab , etc. (see Figure 5 and Equation ( 11)).…”

Section: Inspection Of the Correlation Arrays In Figures 1 And 2 Tell...mentioning

confidence: 99%

“…In this paper, we use the framework inspired by Bub [6] and Pitowsky [7] and developed by Janas, Cuffaro and Janssen [8] to construct and analyze these Hardy-Unruh chains. In Section 2, we review the elements we need from our book.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Broken Arrows: Hardy–Unruh Chains and Quantum Contextuality

Janas,

Janssen

2023

Entropy

Self Cite

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Hardy and Unruh constructed a family of non-maximally entangled states of pairs of particles giving rise to correlations that cannot be accounted for with a local hidden-variable theory. Rather than pointing to violations of some Bell inequality, however, they pointed to apparent clashes with the basic rules of logic. Specifically, they constructed these states and the associated measurement settings in such a way that the outcomes satisfy some conditionals but not an additional one entailed by them. Quantum mechanics avoids the broken ‘if …then …’ arrows in such Hardy–Unruh chains, as we call them, because it cannot simultaneously assign truth values to all conditionals involved. Measurements to determine the truth value of some preclude measurements to determine the truth value of others. Hardy–Unruh chains thus nicely illustrate quantum contextuality: which variables do and do not obtain definite values depends on what measurements we decide to perform. Using a framework inspired by Bub and Pitowsky and developed in our book Understanding Quantum Raffles (co-authored with Michael E. Cuffaro), we construct and analyze Hardy–Unruh chains in terms of fictitious bananas mimicking the behavior of spin-12 particles.

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The Philosophy of Quantum Computing

Cuffaro

2022

Quantum Computing in the Arts and Humanities

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Understanding Quantum Raffles

Abstract: In addition, Cuffaro dedicates his efforts to the memory of Giuseppe, his father and Janssen dedicates his efforts to the memory of Heinrich, his father (1929Heinrich, his father ( -2015.

Cited by 13 publications

References 15 publications

Information is Physical: Cross-Perspective Links in Relational Quantum Mechanics

Information is Physical: Cross-Perspective Links in Relational Quantum Mechanics

Broken Arrows: Hardy–Unruh Chains and Quantum Contextuality

The Philosophy of Quantum Computing

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