Bell nonlocality in networks
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 …
propelled research in the foundations of quantum theory and quantum information science …
Testing real quantum theory in an optical quantum network
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 …
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 …
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 …
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 …
users are a rapidly developing quantum technology and an increasingly promising test-bed …
Pseudorandom unitaries are neither real nor sparse nor noise-robust
Pseudorandom quantum states (PRSs) and pseudorandom unitaries (PRUs) possess the
dual nature of being efficiently constructible while appearing completely random to any …
dual nature of being efficiently constructible while appearing completely random to any …
Certifying Network Topologies and Nonlocalities of Triangle Quantum Networks
Quantum networks promise unprecedented advantages in information processing and open
up intriguing new opportunities in fundamental research, where network topology and …
up intriguing new opportunities in fundamental research, where network topology and …
Post-quantum nonlocality in the minimal triangle scenario
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 …
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
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 …
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
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 …
been debated since the inception of quantum mechanics. Recently, a feasible proposal to …