  We present a quantum algorithm for the microcanonical thermal pure quantum
(TPQ) method, which has an advantage in evaluating thermodynamic quantities at
finite temperatures, by combining with some recently developed techniques
derived from quantum singular value transformation. When the ground energy of
quantum systems has already been obtained precisely, the multiple products of
the Hamiltonian are efficiently realized and the TPQ states at low temperatures
are systematically constructed in quantum computations.
