Single-ancilla ground state preparation via Lindbladians

Understand

We design a quantum algorithm for ground state preparation in the early fault tolerant regime.

• As a Monte Carlo-style quantum algorithm, our method features a Lindbladian where the target state is stationary.
• The construction of this Lindbladian is algorithmic and should not be seen as a specific approximation to some weakly coupled system-bath dynamics in nature.
• Our algorithm can be implemented using just one ancilla qubit and efficiently simulated on a quantum computer.