Hyper-decoherence in Density Hypercubes

Hefford, James; Gogioso, Stefano

doi:10.4204/eptcs.340.7

Cited by 4 publications

(1 citation statement)

References 19 publications

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“…Concerning (ii) and specifically the possibility for gravity to be neither classical nor quantum, to the best of our knowledge there are three GPTs which allow for entanglement between quantum systems to be generated via non-quantum mediators; that is Refs. [81], [106] and [107]. The physical realisation of these models is unknown, however it is instructive to consider them as logical possibilities which motivate seeking a theory-independent method to characterise features of the gravitational field.…”

Section: A and I (N)mentioning

confidence: 99%

A no-go theorem on the nature of the gravitational field beyond quantum theory

Galley

Giacomini

Selby

2022

Quantum

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Recently, table-top experiments involving massive quantum systems have been proposed to test the interface of quantum theory and gravity. In particular, the crucial point of the debate is whether it is possible to conclude anything on the quantum nature of the gravitational field, provided that two quantum systems become entangled solely due to the gravitational interaction. Typically, this question has been addressed by assuming a specific physical theory to describe the gravitational interaction, but no systematic approach to characterise the set of possible gravitational theories which are compatible with the observation of entanglement has been proposed. Here, we remedy this by introducing the framework of Generalised Probabilistic Theories (GPTs) to the study of the nature of the gravitational field. This framework enables us to systematically study all theories compatible with the detection of entanglement generated via the gravitational interaction between two systems. We prove a no-go theorem stating that the following statements are incompatible: i) gravity is able to generate entanglement; ii) gravity mediates the interaction between the systems; iii) gravity is classical. We analyse the violation of each condition, in particular with respect to alternative non-linear models such as the Schrödinger-Newton equation and Collapse Models.

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Section: A and I (N)mentioning

confidence: 99%

A no-go theorem on the nature of the gravitational field beyond quantum theory

Galley

Giacomini

Selby

2022

Quantum

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Post-quantum steering is a stronger-than-quantum resource for information processing

et al. 2022

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We present the first instance where post-quantum steering is a stronger-than-quantum resource for information processing – remote state preparation. In addition, we show that the phenomenon of post-quantum steering is not just a mere mathematical curiosity allowed by the no-signalling principle, but it may arise within compositional theories beyond quantum theory, hence making its study fundamentally relevant. We show these results by formulating a new compositional general probabilistic theory – which we call Witworld – with strong post-quantum features, which proves to be a intuitive and useful tool for exploring steering and its applications beyond the quantum realm.

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Computation in a general physical setting

Gilligan-Lee

2021

J. Phys. A: Math. Theor.

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The computational abilities of theories within the generalised probabilistic theory framework has been the subject of much recent study. Such investigations aim to gain an understanding of the possible connections between physical principles and computation. Moreover, comparing and contrasting the computational properties of quantum theory with other operationally-sensible theories could shed light on the strengths and limitations of quantum computation. This paper reviews and extends some of these results, deriving new bounds on the computational ability of theories satisfying n-local tomography, and theories in which states are represented as generalised superpositions. It moreover provides a refined version of the conjecture that a quantum computer can simulate the computation in any theory within a certain sub-class of generalised probabilistic theories with at most polynomial overhead. The paper ends by describing an important relation between this conjecture and delegated computation, similar to the relation between quantum non-locality and device-independent cryptography.

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Hyper-decoherence in Density Hypercubes

Cited by 4 publications

References 19 publications

A no-go theorem on the nature of the gravitational field beyond quantum theory

A no-go theorem on the nature of the gravitational field beyond quantum theory

Post-quantum steering is a stronger-than-quantum resource for information processing

Computation in a general physical setting

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