40 citations · 80 across the 8 of their papers we have counts for
8 papers
Topological Quantum Compilation Using Mixed-Integer Programming
Pavel Rytir, Phillip C. Burke, Christos Aravanis +2
We introduce the Mixed-Integer Quadratically Constrained Quadratic Programming framework for the quantum compilation problem and apply it in the context of topological quantum comp…
Non-Hermitian Numerical Renormalization Group: Solution of the non-Hermitian Kondo model
Phillip C. Burke, Andrew K. Mitchell
Non-Hermitian (NH) Hamiltonians describe open quantum systems, nonequilibrium dynamics, and dissipative processes. Although a rich range of single-particle NH physics has been unco…
Taking the temperature of quantum many-body scars
Phillip C. Burke, Shane Dooley
A quantum many-body scar is an eigenstate of a chaotic many-body Hamiltonian that exhibits two seemingly incongruous properties: its energy eigenvalue corresponds to a high tempera…
Topological quantum compilation of two-qubit gates
Phillip C. Burke, Christos Aravanis, Johannes Aspman +2
We investigate the topological quantum compilation of two-qubit operations within a system of Fibonacci anyons. Our primary goal is to generate gates that are approximately leakage…
Structure of the Hamiltonian of mean force
Phillip C. Burke, Goran Nakerst, Masudul Haque
The Hamiltonian of mean force is an effective Hamiltonian that allows a quantum system, non-weakly coupled to an environment, to be written in an effective Gibbs state. We present…
Entropy and Temperature in finite isolated quantum systems
Phillip C. Burke, Masudul Haque
We investigate how the temperature calculated from the microcanonical entropy compares with the canonical temperature for finite isolated quantum systems. We concentrate on systems…
Assigning Temperatures to Eigenstates
Phillip C. Burke, Goran Nakerst, Masudul Haque
In the study of thermalization in finite isolated quantum systems, an inescapable issue is the definition of temperature. We examine and compare different possible ways of assignin…
Non-Hermitian scattering on a tight-binding lattice
Phillip C. Burke, Jan Wiersig, Masudul Haque
We analyze the scattering dynamics and spectrum of a quantum particle on a tight-binding lattice subject to a non-Hermitian (purely imaginary) local potential. The reflection, tran…