  This letter introduces a novel compact and lossless quantum microgrid
formation (qMGF) approach to achieve efficient operational optimization of the
power system and improvement of resilience. This is achieved through lossless
reformulation to ensure that the results are equivalent to those produced by
the classical MGF by exploiting graph-theory-empowered quadratic unconstrained
binary optimization (QUBO) that avoids the need for redundant encoding of
continuous variables. Additionally, the qMGF approach utilizes a compact
formulation that requires significantly fewer qubits compared to other quantum
methods thereby enabling a high-accuracy and low-complexity deployment of qMGF
on near-term quantum computers. Case studies on real quantum processing units
(QPUs) empirically demonstrated that qMGF can achieve the same high accuracy as
classic results with a significantly reduced number of qubits.
