Given oracle access to an unknown unitary $U=e^{iH}$ , the fractional query problem asks how many queries are required to implement a noninteger power $U^t=e^{itH}$, $0<t<1$, when the spectrum is separated from the branch cut by a gap $\delta$. Quantum singular value transformation gives an upper bound of $O\!\left(\fr...
A. Liu, Adam Wesolowski, Jayne Thompson et al.· 0 citations
Weighted Quantum Signal Processing is introduced, an extension of QSP in which a weight function is assigned to the central rotation operator, which provides a deeper understanding of QSP and yields expressive and parameter-efficient neural architectures, highlighting the potential of WQSP as a scalable primitive for q...
Rohit Sarma Sarkar, Rupayan Bhattacharjee, E. F. Combarro et al.· 0 citations
We introduce Coherent Quantum Learning (CQL), a training framework for quantum learning models in which the model parameters are quantum degrees of freedom evolved under a Hamiltonian that encodes the loss function. Current quantum machine learning retains classical optimization: parameters are updated by a classical o...
Ignacio B. Acedo, Javier Gonzalez-Conde, Pablo Rodriguez-Grasa et al.· 0 citations
This work introduces quantum topological data encoding (QTDE), a general framework for encoding topological information into quantum states via topology-driven quantum evolution, and indicates several areas of application where the framework can be used to provide a more efficient and reliable data representation.
Adam Wesolowski, Dimitrios Thanos, Daniel Leykam et al.· 0 citations
We use cookies to run the site and, with your consent, for analytics and to show ads.
See our Cookie Policy.
