4 papers
Ground State Energy of Dilute Fermi Gases in 1D
Johannes Agerskov, Robin Reuvers, Jan Philip Solovej
We study the spin-J Fermi gas, interacting through a general repulsive 2-body potential, and prove asymptotics of the ground state energy in the dilute limit. The asymptotic behavi…
Markovian quantum master equations are exponentially accurate in the weak coupling regime
Johannes Agerskov, Frederik Nathan
We consider the evolution of open quantum systems coupled to one or more Gaussian environments. We demonstrate that such systems can be described by a Markovian quantum master equa…
Ancilla-train quantum algorithm for simulating non-Markovian open quantum systems
Hans Michael Christensen, Johannes Agerskov, Frederik Nathan
We present a quantum algorithm for simulating open quantum systems coupled to Gaussian environments valid for any configuration and coupling strength. The algorithm is applicable t…
Quantum Determinant Estimation
J. Agerskov, K. Splittorff
A quantum algorithm for computing the determinant of a unitary matrix is given. The algorithm requires no preparation of eigenstates of and estimates the phase of t…