Coherence as a Resource for Shor's Algorithm

F Ahnefeld, T Theurer, D Egloff, JM Matera… - Physical Review Letters, 2022 - APS
Shor's factoring algorithm provides a superpolynomial speedup over all known classical
factoring algorithms. Here, we address the question of which quantum properties fuel this …

Fundamental limitations on distillation of quantum channel resources

B Regula, R Takagi - Nature Communications, 2021 - nature.com
Quantum channels underlie the dynamics of quantum systems, but in many practical settings
it is the channels themselves that require processing. We establish universal limitations on …

Coherence of operations and interferometry

M Masini, T Theurer, MB Plenio - Physical Review A, 2021 - APS
Quantum coherence is one of the key features that fuels applications for which quantum
mechanics exceeds the power of classical physics. This explains the considerable efforts …

Operational significance of the quantum resource theory of Buscemi nonlocality

P Lipka-Bartosik, AF Ducuara, T Purves, P Skrzypczyk - PRX Quantum, 2021 - APS
Although entanglement is necessary for observing nonlocality in a Bell experiment, there are
entangled states that can never be used to demonstrate nonlocal correlations. In a seminal …

Characterization of quantum betting tasks in terms of Arimoto mutual information

AF Ducuara, P Skrzypczyk - PRX Quantum, 2022 - APS
We introduce operational quantum tasks based on betting with risk aversion—or quantum
betting tasks for short—inspired by standard quantum state discrimination and classical …

Operational characterization of weight-based resource quantifiers via exclusion tasks in general probabilistic theories

M Ye, Y Li, Z Li - Quantum Information Processing, 2021 - Springer
The formalism of general probabilistic theories (GPTs), which include classical probability
theory and quantum mechanics, has provided us with physical theories beyond quantum …

Estimate distillable entanglement and quantum capacity by squeezing useless entanglement

C Zhu, C Zhu, X Wang - IEEE Journal on Selected Areas in …, 2024 - ieeexplore.ieee.org
Quantum Internet relies on quantum entanglement as a fundamental resource for secure
and efficient quantum communication, reshaping data transmission. In this context …

Compositional resource theories of coherence

JH Selby, CM Lee - Quantum, 2020 - quantum-journal.org
Quantum coherence is one of the most important resources in quantum information theory.
Indeed, preventing the loss of coherence is one of the most important technical challenges …

On the Role of Coherence in Shor's Algorithm

F Ahnefeld, T Theurer, D Egloff, JM Matera… - arXiv preprint arXiv …, 2022 - arxiv.org
Shor's factoring algorithm provides a super-polynomial speed-up over all known classical
factoring algorithms. Here, we address the question of which quantum properties fuel this …

Multi-object operational tasks for measurement incompatibility

AF Ducuara, R Takakura, FJ Hernandez… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce multi-object operational tasks for measurement incompatibility in the form of
multi-object quantum subchannel discrimination and exclusion games with prior information …