We estimate the probability of random $N$ -qudit pure states violating full-correlation Bell inequalities with two dichotomic observables per site. These inequalities can show violations that grow exponentially with $N$ , but we prove this is not the typical case. For many-qubit states the probability to violate any of these inequalities by an amount that grows linearly with $N$ is vanishingly small. If each system's Hilbert space dimension is larger than two, on the other hand, the probability of seeing any violation is already small. For the qubits case we discuss, furthermore, the consequences of this result for the probability of seeing arbitrary violations (i.e., of any order of magnitude) when experimental imperfections are considered.We estimate the probability of random $N$-qudit pure states violating full-correlation Bell inequalities with two dichotomic observables per site. These inequalities can show violations that grow exponentially with $N$, but we prove this is not the typical case. For many-qubit states the probability to violate any of these inequalities by an amount that grows linearly with $N$ is vanishingly small. If each system's Hilbert space dimension is larger than two, on the other hand, the probability of seeing any violation is already small. For the qubits case we discuss, furthermore, the consequences of this result for the probability of seeing arbitrary violations (i.e., of any order of magnitude) when experimental imperfections are considered.

arXiv:1209.1755Physical Review AJul 24, 20127 citations

Scaling

WORLD SCIENTIFIC eBooksNov 1, 20130 citations

The Thouless time for mass-deformed SYK

Tomoki Nosaka, Dario Rosa, Junggi Yoon

Abstract We study the onset of RMT dynamics in the mass-deformed SYK model (i.e. an SYK model deformed by a quadratic random interaction) in terms of the strength of the quadratic deformation. We use as chaos probes both the connected unfolded Spectral Form Factor (SFF) as well as the Gaussian-filtered SFF, which has been recently introduced in the literature. We show that they detect the chaotic/integrable transition of the mass-deformed SYK model at different values of the mass deformation: the Gaussian-filtered SFF sees the transition for large values of the mass deformation; the connected unfolded SFF sees the transition at small values. The latter shows a closer agreement with the transition as seen by the OTOCs. We argue that the chaotic/integrable deformation affects the energy levels inhomogeneously: for small values of the mass deformation only the low-lying states are modified while for large values of the mass deformation also the states in the bulk of the spectrum move to the integrable behavior.Abstract We study the onset of RMT dynamics in the mass-deformed SYK model (i.e. an SYK model deformed by a quadratic random interaction) in terms of the strength of the quadratic deformation. We use as chaos probes both the connected unfolded Spectral Form Factor (SFF) as well as the Gaussian-filtered SFF, which has been recently introduced in the literature. We show that they detect the chaotic/integrable transition of the mass-deformed SYK model at different values of the mass deformation: the Gaussian-filtered SFF sees the transition for large values of the mass deformation; the connected unfolded SFF sees the transition at small values. The latter shows a closer agreement with the transition as seen by the OTOCs. We argue that the chaotic/integrable deformation affects the energy levels inhomogeneously: for small values of the mass deformation only the low-lying states are modified while for large values of the mass deformation also the states in the bulk of the spectrum move to the integrable behavior.

arXiv:1804.09934Journal of High Energy PhysicsSep 1, 201866 citations

Overview

O. Costa de Beauregard

Boston studies in the philosophy of scienceJan 1, 19870 citations

New Way of Seeing

Rowan Brad Quni-Gudzinas

# [A New Way of Seeing](_New%20Way%20of%20Seeing.md) ***Autaxys as a Framework for Pattern-Based Reality, from Rocks to Neutrinos*** *[Rowan Brad Quni](mailto:rowan.quni@qnfo.org), [QNFO](http://QNFO.org)* %% Zoottelkeeper: Beginning of the autogenerated index file list %% 📄 [[releases/2025/New Way of Seeing/1 Particle Paradox|1 Particle Paradox]] 📄 [[releases/2025/New Way of Seeing/2 Constructed Panorama|2 Constructed Panorama]] 📄 [[releases/2025/New Way of Seeing/3 Instrumental Veil|3 Inst# [A New Way of Seeing](_New%20Way%20of%20Seeing.md) ***Autaxys as a Framework for Pattern-Based Reality, from Rocks to Neutrinos*** *[Rowan Brad Quni](mailto:rowan.quni@qnfo.org), [QNFO](http://QNFO.org)* %% Zoottelkeeper: Beginning of the autogenerated index file list %% 📄 [[releases/2025/New Way of Seeing/1 Particle Paradox|1 Particle Paradox]] 📄 [[releases/2025/New Way of Seeing/2 Constructed Panorama|2 Constructed Panorama]] 📄 [[releases/2025/New Way of Seeing/3 Instrumental Veil|3 Inst

Jun 29, 20260 citations

We estimate the probability of random

N

-qudit pure states violating full-correlation Bell inequalities with two dichotomic observables per site. These inequalities can show violations that grow exponentially with

N

, but we prove this is not the typical case. For many-qubit states the probability to violate any of these inequalities by an amount that grows linearly with

N

is vanishingly small. If each system's Hilbert space dimension is larger than two, on the other hand, the probability of seeing any violation is already small. For the qubits case we discuss, furthermore, the consequences of this result for the probability of seeing arbitrary violations (i.e., of any order of magnitude) when experimental imperfections are considered.