Wells Fargo Researchers Quantify Gauge Redundancy in Variational Quantum Circuits

Researchers Huan-Hsin Tseng, Hsin-Yi Lin, Samuel Yen-Chi Chen, Yan Mong Chan, Tzu-Chieh Wei, and Shinjae Yoo are authors of a study analyzing Variational Quantum Circuits through the lens of Lie groups and Hermitian observables, seeking to characterize “effective circuit degrees of freedom.” The work aims to provide structural criteria for more streamlined variational ansatz design. The dimensions of this effective Hamiltonian space are related to the size of the stabilizer group. Theorem 3 (Homogeneous space construction [Lee2012]) is utilized in the analysis. The study asks whether, for two Hermitians, there is a unique unitary transformation that relates them, and if not, how far off the choice of unitary is from being unique? An intersection of high finance and fundamental physics is unfolding…