Measurement-based deterministic imaginary time evolution

Understand

We introduce a method to perform imaginary time evolution in a controllable quantum system using measurements and conditional unitary operations.

• By performing a sequence of weak measurements based on the desired Hamiltonian constructed by a Suzuki-Trotter decomposition, an evolution approximating imaginary time evolution can be realized.
• The randomness due to measurement is corrected using conditional unitary operations, making the evolution deterministic.
• Both the measurements required for the algorithm and the conditional unitary operations can be constructed efficiently.