4 papers
Solving nonlinear differential equations with differentiable quantum circuits
Oleksandr Kyriienko, Annie E. Paine, Vincent E. Elfving
We propose a quantum algorithm to solve systems of nonlinear differential equations. Using a quantum feature map encoding, we define functions as expectation values of parametrized…
Nonlinear quantum optics with trion-polaritons in 2D monolayers: conventional and unconventional photon blockade
O. Kyriienko, D. N. Krizhanovskii, I. A. Shelykh
We study a 2D system of trion-polaritons at the quantum level and demonstrate that for monolayer semiconductors they can exhibit a strongly nonlinear optical response. The effect i…
Quantum Time Crystals from Hamiltonians with Long-Range Interactions
Valerii K. Kozin, Oleksandr Kyriienko
Time crystals correspond to a phase of matter where time-translational symmetry (TTS) is broken. Up to date, they are well studied in open quantum systems, where external drive all…
Quantum inverse iteration algorithm for programmable quantum simulators
Oleksandr Kyriienko
We propose a quantum inverse iteration algorithm which can be used to estimate the ground state properties of a programmable quantum device. The method relies on the inverse power…