Peking University Researchers Map Non-Unitary Circuits to Hamiltonian Paths

Peking University researchers have mapped non-unitary quantum circuits to local Hamiltonian paths, a method intended to preserve optimization advantages and reduce circuit depth. The team’s work establishes that pseudospectral stability, alongside real, gapped spectra, is key for non-Hermitian quantum adiabatic computation and offers a practical route to achieving it. Using the CK benchmark family of maximum independent set problems, the researchers demonstrated polynomial-evolution-time non-Hermitian adiabatic computation that remains robust against perturbations. They also discuss a…