Bell nonlocality in networks

A Tavakoli, A Pozas-Kerstjens, MX Luo… - Reports on Progress in …, 2022 - iopscience.iop.org
Bell's theorem proves that quantum theory is inconsistent with local physical models. It has
propelled research in the foundations of quantum theory and quantum information science …

Testing real quantum theory in an optical quantum network

ZD Li, YL Mao, M Weilenmann, A Tavakoli, H Chen… - Physical Review Letters, 2022 - APS
Quantum theory is commonly formulated in complex Hilbert spaces. However, the question
of whether complex numbers need to be given a fundamental role in the theory has been …

Structural balance and random walks on complex networks with complex weights

Y Tian, R Lambiotte - SIAM Journal on Mathematics of Data Science, 2024 - SIAM
Complex numbers define the relationship between entities in many situations. A canonical
example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics …

Complex networks with complex weights

L Böttcher, MA Porter - Physical Review E, 2024 - APS
In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …

Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics

NN Wang, A Pozas-Kerstjens, C Zhang, BH Liu… - Nature …, 2023 - nature.com
Networks composed of independent sources of entangled particles that connect distant
users are a rapidly developing quantum technology and an increasingly promising test-bed …

Pseudorandom unitaries are neither real nor sparse nor noise-robust

T Haug, K Bharti, DE Koh - arXiv preprint arXiv:2306.11677, 2023 - arxiv.org
Pseudorandom quantum states (PRSs) and pseudorandom unitaries (PRUs) possess the
dual nature of being efficiently constructible while appearing completely random to any …

Certifying Network Topologies and Nonlocalities of Triangle Quantum Networks

YL Mao, H Chen, B Guo, S Liu, ZD Li, MX Luo, J Fan - Physical Review Letters, 2024 - APS
Quantum networks promise unprecedented advantages in information processing and open
up intriguing new opportunities in fundamental research, where network topology and …

Post-quantum nonlocality in the minimal triangle scenario

A Pozas-Kerstjens, A Girardin, T Kriváchy… - New Journal of …, 2023 - iopscience.iop.org
We investigate network nonlocality in the triangle scenario when all three parties have no
input and binary outputs. Through an explicit example, we prove that this minimal scenario …

Experimental refutation of real-valued quantum mechanics under strict locality conditions

D Wu, YF Jiang, XM Gu, L Huang, B Bai, QC Sun… - Physical Review Letters, 2022 - APS
Quantum mechanics is commonly formulated in a complex, rather than real, Hilbert space.
However, whether quantum theory really needs the participation of complex numbers has …

Proposals for ruling out real quantum theories in an entanglement-swapping quantum network with causally independent sources

J Yao, H Chen, YL Mao, ZD Li, J Fan - Physical Review A, 2024 - APS
The question of whether complex numbers play a fundamental role in quantum theory has
been debated since the inception of quantum mechanics. Recently, a feasible proposal to …