101 citations · 183 across the 7 of their papers we have counts for
12 papers
Hamiltonian singular value transformation and inverse block encoding
Seth Lloyd, Bobak T. Kiani, David R. M. Arvidsson-Shukur +5
The quantum singular value transformation is a powerful quantum algorithm that allows one to apply a polynomial transformation to the singular values of a matrix that is embedded a…
Charge-conserving unitaries typically generate optimal covariant quantum error-correcting codes
Linghang Kong, Zi-Wen Liu
Quantum error correction and symmetries play central roles in quantum information science and physics. It is known that quantum error-correcting codes covariant with respect to con…
Quantum algorithm for nonlinear differential equations
Seth Lloyd, Giacomo De Palma, Can Gokler +5
Quantum computers are known to provide an exponential advantage over classical computers for the solution of linear differential equations in high-dimensional spaces. Here, we pres…
Quantum polar decomposition algorithm
Seth Lloyd, Samuel Bosch, Giacomo De Palma +5
The polar decomposition for a matrix is , where is a positive Hermitian matrix and is unitary (or, if is not square, an isometry). This paper shows that the a…
Experimental quantification of coherence of a tunable quantum detector
Huichao Xu, Feixiang Xu, Thomas Theurer +5
Quantum coherence is a fundamental resource that quantum technologies exploit to achieve performance beyond that of classical devices. A necessary prerequisite to achieve this adva…
Benchmarking one-shot distillation in general quantum resource theories
Bartosz Regula, Kaifeng Bu, Ryuji Takagi +1
We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similar…