Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

The quest to build a quantum computer is arguably one of the major scientific and
technological challenges of the twenty-first century, and quantum information theory (QIT) …

Quantum entanglement is a fundamental property of quantum mechanics and it serves as a
basic resource in quantum computation and information. Despite its importance, the power …

Entanglement distillation, an essential quantum information processing task, refers to the
conversion from multiple copies of noisy entangled states to a smaller number of highly …

We investigate the classical communication over quantum channels when assisted by no-
signaling and positive-partial-transpose-preserving (PPT) codes, for which both the optimal …

We derive a framework for quantifying entanglement in multipartite and high dimensional
systems using only correlations in two unbiased bases. We furthermore develop such …

We present two quantum interior point methods for semidefinite optimization problems,
building on recent advances in quantum linear system algorithms. The first scheme, more …

We introduce a hierarchy of linear systems for showing that a given subspace of pure
quantum states is entangled (ie, contains no product states). This hierarchy outperforms …

Werner states are multipartite quantum states that are invariant under the diagonal
conjugate action of the unitary group. This paper gives a complete characterization of their …

The recognition of entanglement states is a notoriously difficult problem when no prior
information is available. Here, we propose an efficient quantum adversarial bipartite …