A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Quantum criticality, as a fascinating quantum phenomenon, may provide significant
advantages for quantum sensing. Here we propose a dynamic framework for quantum …

Surpassing the standard quantum limit and even reaching the Heisenberg limit using
quantum entanglement, represents the Holy Grail of quantum metrology. However, quantum …

Open systems possess unique potentials in high-precision sensing, yet the majority of
previous studies rely on the spectral singularities known as “exceptional points.” Here, we …

Exceptional points (EPs) of non-Hermitian (NH) systems have recently attracted increasing
attention due to their rich phenomenology and intriguing applications. Compared to the …

Recent progress in nanofabrication has led to tremendous technological developments for
devices that rely on the interaction of light with nanostructured matter. Nanophotonics has …

Non-Hermitian dynamics has been widely studied to enhance the precision of quantum
sensing; and non-reciprocity can be a powerful resource for non-Hermitian quantum …

Considering non-Hermitian systems implemented by utilizing enlarged quantum systems,
we determine the fundamental limits for the sensitivity of non-Hermitian sensors from the …

The emergence of parity-time (PT) symmetry has greatly enriched our study of symmetry-
enabled non-Hermitian physics, but the realization of quantum PT symmetry faces an …

Quantum information processing enhances human's power to simulate nature in quantum
level and solve complex problem efficiently. During the process, a series of operators is …