186 citations · 1.1k across the 28 of their papers we have counts for
30 papers
Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions
Freek Witteveen, Volkher Scholz, Brian Swingle +1
The multiscale entanglement renormalization ansatz describes quantum many-body states by a hierarchical entanglement structure organized by length scale. Numerically, it has been d…
Computing Quantum Channel Capacities
Navneeth Ramakrishnan, Raban Iten, Volkher B. Scholz +1
The capacity of noisy quantum channels characterizes the highest rate at which information can be reliably transmitted and it is therefore of practical as well as fundamental impor…
Semidefinite programming hierarchies for constrained bilinear optimization
Mario Berta, Francesco Borderi, Omar Fawzi +1
We give asymptotically converging semidefinite programming hierarchies of outer bounds on bilinear programs of the form , maximized with respect…
Confidence Polytopes in Quantum State Tomography
Jinzhao Wang, Volkher B. Scholz, Renato Renner
Quantum State Tomography is the task of inferring the state of a quantum system from measurement data. A reliable tomography scheme should not only report an estimate for that stat…
Martin-Löf random quantum states
André Nies, Volkher Scholz
We extend the key notion of Martin-Löf randomness for infinite bit sequences to the quantum setting, where the sequences become states of an infinite dimensional system. We work to…
Thermal States as Convex Combinations of Matrix Product States
Mario Berta, Fernando G. S. L. Brandao, Jutho Haegeman +2
We study thermal states of strongly interacting quantum spin chains and prove that those can be represented in terms of convex combinations of matrix product states. Apart from rev…