Quantum algorithms have the ability to reduce runtime for executing tasks beyond the capabilities of classical algorithms. Therefore, identifying the resources responsible for quantum advantages is an interesting endeavour. We prove that nonvanishing quantum correlations, both bipartite and genuine multipartite entanglement, are required for solving nontrivial linear systems of equations in the Harrow-Hassidim-Lloyd (HHL) algorithm. Moreover, we find a nonvanishing l1-norm quantum coherence of the entire system and the register qubit which turns out to be related to the success probability of the algorithm. Quantitative analysis of the quantum resources reveals that while a significant amount of bipartite entanglement is generated in each s...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Harrow-Hassidim-Lloyd algorithm (HHL) allows for the exponentially faster solution of a system of li...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Quantum algorithms allow to outperform their classical counterparts in various tasks, most prominent...
Coherence, discord and geometric measure of entanglement are important tools for measuring physical ...
The Harrow-Hassidim-Lloyd quantum algorithm was proposed to solve linear systems of equations $A\vec...
Shor’s factoring algorithm provides a superpolynomial speedup over all known classical factoring alg...
Variational quantum algorithms, which consist of optimal parameterized quantum circuits, are promisi...
Quantum kernels are considered as potential resources to illustrate benefits of quantum computing in...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Today's research in quantum information science is driven by the promise to overcome scaling limitat...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Harrow-Hassidim-Lloyd algorithm (HHL) allows for the exponentially faster solution of a system of li...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Quantum algorithms allow to outperform their classical counterparts in various tasks, most prominent...
Coherence, discord and geometric measure of entanglement are important tools for measuring physical ...
The Harrow-Hassidim-Lloyd quantum algorithm was proposed to solve linear systems of equations $A\vec...
Shor’s factoring algorithm provides a superpolynomial speedup over all known classical factoring alg...
Variational quantum algorithms, which consist of optimal parameterized quantum circuits, are promisi...
Quantum kernels are considered as potential resources to illustrate benefits of quantum computing in...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Today's research in quantum information science is driven by the promise to overcome scaling limitat...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...
Harrow-Hassidim-Lloyd algorithm (HHL) allows for the exponentially faster solution of a system of li...
Of the many and varied applications of quantum information theory, perhaps the most fascinating is t...