13 papers
Iterated Distinct Absolute Differences of Integer Compositions
Felix Huber
Starting from an integer composition, form its consecutive absolute differences, provided that they are nonzero and pairwise distinct, and then permute these differences arbitraril…
Large Sidon Subsets and Pair-Sum Multiplicities of Distinct Multinomial Coefficients
Felix Huber
For a positive integer , let be the set of distinct multinomial coefficient values , where ranges over the integer parti…
On the two-copy distillability of Werner states and a new partial trace inequality
Thomas C. Fraser, Felix Huber, Balázs Pozsgay +1
Problem 5 in {\it Five Open Problems in Quantum Information Theory} [PRX Quantum 3, 010101 (2022)], asks whether the two-ququart Werner state is two-copy dis…
A 0.651-approximation to quantum Max Cut via Rydberg atoms
Tomás Crosta, Matthieu Saubanere, Felix Huber
Quantum Max Cut, also known as the anti-ferromagnetic Heisenberg Hamiltonian, is a QMA-complete problem which serves as a benchmark for approximation algorithms in quantum physics.…
Lovász theta and Shearer lower bounds on Quantum Max Cut
Felix Huber
Quantum Max Cut is a problem relevant to computer science and many-body quantum physics due to its links to classical Max Cut and the anti-ferromagnetic Heisenberg Hamiltonian. We…
Complete entanglement detection using polynomial invariants
Thomas C. Fraser, Vjosa Blakaj, Roberto Rubboli +2
Existing methods for deciding whether a bipartite quantum state is separable or entangled typically fall into one of two categories: they are either complete but require access to…