Quantum information science is an emerging research field that plays an important role in the development of new innovative technologies, including quantum computers, quantum communication, and quantum sensors. The success of quantum technology lies in its ability to harness fundamental quantum properties that have no classical counterparts. One of these quantum resources is a counterintuitive phenomenon known as quantum entanglement. If two particles are entangled, they are connected in such a way that the state of one of the particles directly relates to the state of the other particle, regardless of the distance between them. This unique feature makes entanglement essential for many quantum information tasks. However, natural questions arise in these applications: how can we ensure that a group of particles is indeed entangled, and how can we detect entanglement? 

In my project, we study how to construct simple criteria used to detect quantum entanglement that remains constant under measurement errors up to a certain threshold of imprecision.