Bayesian Quantum Multiphase Estimation Algorithm

Quantum phase estimation (QPE) is the key subroutine of several quantum computing algorithms as well a central ingredient in computational chemistry and simulation. While QPE strategies have focused on single phase, applications to simultaneous phases may bring substantial advantages; for instance, presence spatial or temporal constraints. In this work, we study Bayesian algorithm parallel (simultaneous) multiple arbitrary phases. The protocol gives access correlations multi-phase distribution resulting covariance matrix elements scaling inversely proportional square total number resources. allows surpass sensitivity sequential single-phase optimal linear combinations Furthermore, proves certain noise resilience can be implemented using photons standard optical currently accessible experiments.