Weekly Papers on Quantum Foundations (3)

Born rule: quantum probability as classical probability 

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PhilSci-Archive: No conditions. Results ordered -Date Deposited.

Sat Jan 14 2023 03:03:27 (6 hours)

# 1.

Stoica, Ovidiu Cristinel (2022) Born rule: quantum probability as classical probability. [Preprint]

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Background freedom leads to many-worlds with local beables and probabilities 

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PhilSci-Archive: No conditions. Results ordered -Date Deposited.

Sat Jan 14 2023 03:02:06 (6 hours)

# 2.

Stoica, Ovidiu Cristinel (2022) Background freedom leads to many-worlds with local beables and probabilities. [Preprint]

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Why entanglement? 

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PhilSci-Archive: No conditions. Results ordered -Date Deposited.

Sat Jan 14 2023 03:00:01 (6 hours)

# 3.

Price, Huw and Wharton, Ken (2022) Why entanglement? [Preprint]

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A Theory of Theories. (arXiv:2301.04039v1 [physics.hist-ph]) 

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physics.hist-ph updates on arXiv.org

 by 

Michèle Levi

Wed Jan 11 2023 10:24:32 (2 days)

# 4.

We take a tour through the past, present and future of Effective Field Theory, with applications ranging from LHC physics to cosmology.

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A contextually objective approach to the extended Wigner’s friend thought experiment. (arXiv:2301.03016v1 [quant-ph]) 

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physics.hist-ph updates on arXiv.org

 by 

Maxime Federico, Philippe Grangier

Tue Jan 10 2023 10:12:38 (3 days)

# 5.

We present a discussion of the extended Wigner’s friend thought experiment proposed by Frauchiger and Renner in [1]. We show by using various arguments, including textbook quantum mechanics and the ontological approach of Contexts, Systems, Modalities (CSM), that no contradiction arises if one admits that agents must agree on what is considered as a system and what is not. In such a contextually objective approach of quantum mechanics, the apparent contradiction is automatically removed. We also discuss why this mutual agreement between agents is already implicit in the standard formulations of quantum mechanics, and why removing it leads to inconsistencies.

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Kantian and Neo-Kantian First Principles for Physical and Metaphysical Cognition. (arXiv:1906.03048v2 [physics.hist-ph] UPDATED) 

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physics.hist-ph updates on arXiv.org

 by 

Michael E. Cuffaro

Tue Jan 10 2023 10:12:35 (3 days)

# 6.

I argue that Immanuel Kant’s critical philosophy — in particular the doctrine of transcendental idealism which grounds it — is best understood as an `epistemic’ or `metaphilosophical’ doctrine. As such it aims to show how one may engage in the natural sciences and in metaphysics under the restriction that certain conditions are imposed on our cognition of objects. Underlying Kant’s doctrine, however, is an ontological posit, of a sort, regarding the fundamental nature of our cognition. This posit, sometimes called the `discursivity thesis’, while considered to be completely obvious and uncontroversial by some, has nevertheless been denied by thinkers both before and after Kant. One such thinker is Jakob Friedrich Fries, an early neo-Kantian who, despite his rejection of discursivity, also advocated for a metaphilosophical understanding of critical philosophy. As I will explain, a consequence for Fries of the denial of discursivity is a radical reconceptualisation of the method of critical philosophy; whereas this method is a priori for Kant, for Fries it is in general empirical. I discuss these issues in the context of quantum theory, and I focus in particular on the views of the physicist Niels Bohr and the Neo-Friesian philosopher Grete Hermann. I argue that Bohr’s understanding of quantum mechanics can be seen as a natural extension of an orthodox Kantian viewpoint in the face of the challenges posed by quantum theory, and I compare this with the extension of Friesian philosophy that is represented by Hermann’s view.

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Kochen-Specker Contextuality. (arXiv:2102.13036v5 [quant-ph] UPDATED) 

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physics.hist-ph updates on arXiv.org

 by 

Costantino Budroni, Adán Cabello, Otfried Gühne, Matthias Kleinmann, Jan-Åke Larsson

Tue Jan 10 2023 10:12:34 (3 days)

# 7.

A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible measurements are jointly performed. Here compatible measurements are those that can be implemented simultaneously or, more generally, those that are jointly measurable. This conflict is generically called quantum contextuality. In this review, an introduction to this subject and its current status is presented. Several proofs of the Kochen-Specker theorem and different notions of contextuality are reviewed. How to experimentally test some of these notions is explained and connections between contextuality and nonlocality or graph theory are discussed. Finally, some applications of contextuality in quantum information processing are reviewed.

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A quantum complexity lower bound from differential geometry 

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Nature Physics

 by 

Adam R. Brown

Mon Jan 09 2023 08:00:00 (5 days)

# 8.

Nature Physics, Published online: 09 January 2023; doi:10.1038/s41567-022-01884-6

Quantum operations can be considered as points in a high-dimensional space in which distance reflects the similarity of two operations. Applying differential-geometric methods in this picture gives insights into the complexity of quantum systems.

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