Quantum social network analysis: Methodology, implementation, challenges, and future directions

SS Singh, S Kumar, SK Meena, K Singh, S Mishra… - Information …, 2024 - Elsevier
Quantum social network analysis (QSNA) is a recent advancement in the interdisciplinary
field of quantum computing and social network analysis. This manuscript comprehensively …

Generalised entropy accumulation

T Metger, O Fawzi, D Sutter, R Renner - Communications in Mathematical …, 2024 - Springer
Consider a sequential process in which each step outputs a system A i and updates a side
information register E. We prove that if this process satisfies a natural “non-signalling” …

Quantum many-body systems in thermal equilibrium

ÁM Alhambra - PRX Quantum, 2023 - APS
The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For
models comprised of many locally interacting quantum particles, it describes a wide range of …

Improved thermal area law and quasilinear time algorithm for quantum Gibbs states

T Kuwahara, ÁM Alhambra, A Anshu - Physical Review X, 2021 - APS
One of the most fundamental problems in quantum many-body physics is the
characterization of correlations among thermal states. Of particular relevance is the thermal …

Absence of fast scrambling in thermodynamically stable long-range interacting systems

T Kuwahara, K Saito - Physical review letters, 2021 - APS
In this study, we investigate out-of-time-order correlators (OTOCs) in systems with power-law
decaying interactions such as R-α, where R is the distance. In such systems, the fast …

Optimal wire cutting with classical communication

L Brenner, C Piveteau, D Sutter - arXiv preprint arXiv:2302.03366, 2023 - arxiv.org
Circuit knitting is the process of partitioning large quantum circuits into smaller subcircuits
such that the result of the original circuits can be deduced by only running the subcircuits …

Chain rule for the quantum relative entropy

K Fang, O Fawzi, R Renner, D Sutter - Physical review letters, 2020 - APS
The chain rule for the classical relative entropy ensures that the relative entropy between
probability distributions on multipartite systems can be decomposed into a sum of relative …

Geometric Rényi divergence and its applications in quantum channel capacities

K Fang, H Fawzi - Communications in Mathematical Physics, 2021 - Springer
Having a distance measure between quantum states satisfying the right properties is of
fundamental importance in all areas of quantum information. In this work, we present a …

Continuity of quantum entropic quantities via almost convexity

A Bluhm, Á Capel, P Gondolf… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Based on the proofs of the continuity of the conditional entropy by Alicki, Fannes, and Winter,
we introduce in this work the almost locally affine (ALAFF) method. This method allows us to …

Entanglement monogamy via multivariate trace inequalities

M Berta, M Tomamichel - Communications in Mathematical Physics, 2024 - Springer
Entropy is a fundamental concept in quantum information theory that allows to quantify
entanglement and investigate its properties, for example its monogamy over multipartite …