Popular summaries

Absolutely maximally entangled pure states of multipartite quantum systems

Quantum Advantage in Identifying the Parity of Permutations with Certainty

Certifying nonlocal properties of noisy quantum operations

Quantum operations determine the evolution of quantum systems. Operations acting on bipartite systems induce the nonlocal defining properties inherent to quantum mechanics. Therefore, it is crucial to understand the non-local features of quantum operations, which account for their nonlocal capabilities. Here we reveal such properties from the probability of detector clicks, conditional to input state preparations that can be determined by classical means like coin-tossing. We examine in detail the effects of noise in such detection methods, and find extremal phenomena in principle allowed by the most general theory of dephasing. Finally, we focus on the completely decoherent case, where only classical state preparations and measurements can effectively be done. In such case, states are mapped to probabilities and channels to conditional distributions. In this scenario, we still reveal the full structure of nonlocality in channels by local preparation-measurements in the computational basis.

Mixed state entanglement from symmetric matrix inequalities

State-witness contraction

Discrete dynamics in the set of quantum measurements

Channel nonlocality under decoherence

Entanglement detection with trace polynomials