10 citations · 12 across the 5 of their papers we have counts for
7 papers
Sharp bounds for perfect quantum state classification beyond antidistinguishability
Nathaniel Johnston, Benjamin Lovitz, Vincent Russo +1
A multiset of pure quantum states is said to be k-learnable if there is a measurement strategy that always narrows an unknown sample drawn from the list down to one of at most k ca…
PPT states of almost maximal Schmidt number
Nathaniel Johnston, Benjamin Lovitz
We construct PPT states on that have Schmidt number asymptotically approaching the smaller local dimension. More specifically, we construct a PPT…
Distinguishability of locally diagonal orthogonally invariant quantum states
Nathaniel Johnston, Vincent Russo
We study the distinguishability of quantum states under local operations with classical communication (LOCC), separable, and positive-partial-transpose (PPT) measurements, focusing…
The complexity of perfect quantum state classification
Nathaniel Johnston, Benjamin Lovitz, Vincent Russo +1
The problem of quantum state classification asks how accurately one can identify an unknown quantum state that is promised to be drawn from a known set of pure states. In this work…
X-arability of mixed quantum states
Harm Derksen, Nathaniel Johnston, Benjamin Lovitz
The problem of determining when entanglement is present in a quantum system is one of the most active areas of research in quantum physics. Depending on the setting at hand, differ…
Tight bounds for antidistinguishability and circulant sets of pure quantum states
Nathaniel Johnston, Vincent Russo, Jamie Sikora
A set of pure quantum states is said to be antidistinguishable if upon sampling one at random, there exists a measurement to perfectly determine some state that was not sampled. We…
A hierarchy of eigencomputations for polynomial optimization on the sphere
Benjamin Lovitz, Nathaniel Johnston
We introduce a convergent hierarchy of lower bounds on the minimum value of a real form over the unit sphere. The main practical advantage of our hierarchy over the real sum-of-squ…