24 citations · 29 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
Equivalence of quantum harmonic oscillators and classical oscillators subject to random forces
Can Gokler
We show that the Schrödinger equation for the quantum harmonic oscillator can be derived as an approximation to the Newtonian mechanics of a classical harmonic oscillator subject t…
Mean field limit for many-particle interactions
Can Gokler
We provide an error bound for approximating the time evolution of N bosons by a generalized nonlinear Hartree equation. The bosons are assumed to interact via permutation symmetric…
Quantum behavior of a classical particle subject to a random force
Can Gokler
We give a partial answer to the question whether the Schrodinger equation can be derived from the Newtonian mechanics of a particle in a potential subject to a random force. We sho…
Estimation theory and gravity
Can Gokler
It is shown that if the Euclidean path integral measure of a minimally coupled free quantum scalar field on a classical metric background is interpreted as probability of observing…