486 citations
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2,032 papers
Coherence dynamics in quantum algorithm for linear systems of equations
Linlin Ye, Zhaoqi Wu, Shao-Ming Fei
Quantum coherence is a fundamental issue in quantum mechanics and quantum information processing. We explore the coherence dynamics of the evolved states in HHL quantum algorithm f…
Coherence and entanglement dynamics in Shor's algorithm
Linlin Ye, Zhaoqi Wu, Shao-Ming Fei
Shor's algorithm outperforms its classical counterpart in efficient prime factorization. We explore the coherence and entanglement dynamics of the evolved states within Shor's algo…
New Horizons in Effective Field Theory?
Stefan Hollands, Dustin Urbiks
We consider the most general parity symmetric effective scalar tensor theory in four dimensions containing terms up to fourth derivative order in the Lagrangian. It has been shown…
Equivariant Nijenhuis Lie Algebras: Extensions to Classical Lie-Theoretic Structures
Shuai Hou, Zohreh Ravanpak, Yunhe Sheng
We develop a theory of equivariant Nijenhuis Lie algebras (ENL algebras), namely Lie algebras equipped with Nijenhuis operators satisfying an equivariance condition with respect to…
From the discrete to the continuous, from simplicial complexes to Riemannian manifolds. Approximating flows and cuts on manifolds by discrete versions
Marzieh Eidi, Juergen Jost, Dong Zhang
Many fundamental structures of Riemannian geometry have found discrete counterparts for graphs or combinatorial ones for simplicial complexes. These include those discussed in this…
Decoding Quantum Search Advantage: The Critical Role of State Properties in Random Walks
Si-Qi Zhou, Jin-Min Liang, Ziheng Ding +3
Quantum algorithms have demonstrated provable speedups over classical counterparts, yet establishing a comprehensive theoretical framework to understand the quantum advantage remai…