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 …

Resource theories of communication

H Kristjánsson, G Chiribella, S Salek… - New Journal of …, 2020 - iopscience.iop.org
A series of recent works has shown that placing communication channels in a coherent
superposition of alternative configurations can boost their ability to transmit information …

Virtual quantum resource distillation: General framework and applications

R Takagi, X Yuan, B Regula, M Gu - Physical Review A, 2024 - APS
We develop the general framework of virtual resource distillation, an alternative distillation
strategy proposed in Phys. Rev. Lett. 132, 050203 (2024) 10.1103/PhysRevLett …

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 …

No-go theorems for quantum resource purification

K Fang, ZW Liu - Physical Review Letters, 2020 - APS
The manipulation of quantum “resources” such as entanglement, coherence, and magic
states lies at the heart of quantum science and technology, empowering potential …

Optimal resource cost for error mitigation

R Takagi - Physical Review Research, 2021 - APS
One of the central problems for near-term quantum devices is to understand their ultimate
potential and limitations. We address this problem in terms of quantum error mitigation by …

Resource theory of asymmetric distinguishability for quantum channels

X Wang, MM Wilde - Physical Review Research, 2019 - APS
This paper develops the resource theory of asymmetric distinguishability for quantum
channels, generalizing the related resource theory for states [Matsumoto, arxiv: 1010.1030 …

Dynamical entanglement

G Gour, CM Scandolo - Physical Review Letters, 2020 - APS
Unlike the entanglement of quantum states, very little is known about the entanglement of
bipartite channels, called dynamical entanglement. Here we work with the partial transpose …

One-shot operational quantum resource theory

ZW Liu, K Bu, R Takagi - Physical review letters, 2019 - APS
A fundamental approach for the characterization and quantification of all kinds of resources
is to study the conversion between different resource objects under certain constraints. Here …

Virtual quantum resource distillation

X Yuan, B Regula, R Takagi, M Gu - Physical Review Letters, 2024 - APS
Distillation, or purification, is central to the practical use of quantum resources in noisy
settings often encountered in quantum communication and computation. Conventionally …