Seminar: High-dimensional entanglement witnessed by correlations in arbitrary bases

ABSTRACT

Certifying entanglement is an important step in the development of many quantum technologies, especially for higher-dimensional systems, where entanglement promises increased capabilities for quantum communication and computation. A key feature distinguishing entanglement from classical correlations is the occurrence of correlations for complementary measurement bases. In particular, mutually unbiased bases (MUBs) are a paradigmatic example that is well-understood and routinely employed for entanglement certification. However, implementing unbiased measurements exactly is challenging and not generically possible for all physical platforms. In this work, we expand the entanglement-certification toolbox by extending the use of correlations in MUBs to arbitrary bases, even without requiring aligned reference frames. This represents a practically significant simplification that paves the way for the efficient characterization of high-dimensional entanglement in a wide range of physical systems. In my talk, I will also discuss the potential of using random measurement bases to detect high-dimensional entanglement. As a bonus, I will present a new, simple construction of three MUBs that exist in any dimension without resorting to the tensor products of the Wootters-Fields construction.

Reference: https://arxiv.org/abs/2406.04395

BIOGRAPHY

Nicky Li is a PhD student of Nicolai Friis and Marcus Huber at the Technical University of Vienna in Austria, focusing primarily on entanglement certification and entanglement theory. He is also working on topics related to high-dimensional quantum computation and quantum clocks.