14 citations · 19 across the 5 of their papers we have counts for
7 papers
Quantum algorithm for solving generalized eigenvalue problems with application to the Schrödinger equation
Grzegorz Rajchel-Mieldzioć, Szymon Pliś, Emil Zak
Accurate computation of multiple eigenvalues of quantum Hamiltonians is essential in quantum chemistry, materials science, and molecular spectroscopy. Estimating excited-state ener…
Quantum Discrete Variable Representations
Szymon Pliś, Emil Zak
We present a fault-tolerant quantum algorithm for implementing the Discrete Variable Representation (DVR) transformation, a technique widely used in simulations of quantum-mechanic…
Introducing Structure to Expedite Quantum Search
Marcin Briański, Jan Gwinner, Vladyslav Hlembotskyi +3
We present a novel quantum algorithm for solving the unstructured search problem with one marked element. Our algorithm allows generating quantum circuits that use asymptotically f…
The Richberg technique for subsolutions
F. Reese Harvey, H. Blaine Lawson, Szymon Pliś
This note adapts the sophisticated Richberg technique for approximation in pluripotential theory to the -potential theory associated to a general nonlinear convex subequation $F…
On the relative capacity on almost complex surface
Szymon Pliś
We built the pluripotential theory on almost complex surfaces. Using Bedford-Taylor type relative capacities we prove among others that J-holomorphic curves as well as negligible s…
On regularization of -plurisubharmonic functions
Szymon Pliś
We show that on almost complex surfaces plurisubharmonic functions can be locally approximated by smooth plurisubharmonic functions. The main tool is the Poletsky type theorem due…
Monge-Ampère operator on four dimensional almost complex manifolds
Szymon Pliś
We define the Monge-Ampère operator for continuous J-plurisubharmonic functions on four dimensional almost complex manifolds.