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 …

Quantifying operations with an application to coherence

T Theurer, D Egloff, L Zhang, MB Plenio - Physical review letters, 2019 - APS
To describe certain facets of nonclassicality, it is necessary to quantify properties of
operations instead of states. This is the case if one wants to quantify how well an operation …

When is a non-Markovian quantum process classical?

S Milz, D Egloff, P Taranto, T Theurer, MB Plenio… - Physical Review X, 2020 - APS
More than a century after the inception of quantum theory, the question of which traits and
phenomena are fundamentally quantum remains under debate. Here, we give an answer to …

Generic bound coherence under strictly incoherent operations

L Lami, B Regula, G Adesso - Physical review letters, 2019 - APS
We compute analytically the maximal rates of distillation of quantum coherence under strictly
incoherent operations (SIO) and physically incoherent operations (PIO), showing that they …

Quantifying dynamical coherence with dynamical entanglement

T Theurer, S Satyajit, MB Plenio - Physical Review Letters, 2020 - APS
Coherent superposition and entanglement are two fundamental aspects of nonclassicality.
Here we provide a quantitative connection between the two on the level of operations by …

Witnessing non-objectivity in the framework of strong quantum Darwinism

TP Le, A Olaya-Castro - Quantum Science and Technology, 2020 - iopscience.iop.org
Quantum Darwinism is a compelling theory that describes the quantum-to classical transition
as the emergence of objectivity of quantum systems. Spectrum broadcast structure and …

One-body entanglement as a quantum resource in fermionic systems

N Gigena, M Di Tullio, R Rossignoli - Physical Review A, 2020 - APS
We show that one-body entanglement, which is a measure of the deviation of a pure
fermionic state from a Slater determinant (SD) and is determined by the mixedness of the …

Coherence manipulation with dephasing-covariant operations

B Regula, V Narasimhachar, F Buscemi, M Gu - Physical Review Research, 2020 - APS
We characterize the operational capabilities of quantum channels which can neither create
nor detect quantum coherence vis-à-vis efficiently manipulating coherence as a resource …

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 …

Tsallis relative α entropy of coherence dynamics in Grover′ s search algorithm

L Ye, Z Wu, SM Fei - Communications in Theoretical Physics, 2023 - iopscience.iop.org
Quantum coherence plays a central role in Grover's search algorithm. We study the Tsallis
relative $\alpha $ entropy of coherence dynamics of the evolved state in Grover's search …