Combining Matrix Product States and Noisy Quantum Computers for Quantum Simulation

Understand

Matrix Product States (MPS) and Operators (MPO) have been proven to be a powerful tool to study quantum many-body systems but are restricted to moderately entangled states as the number of parameters scales exponentially with the entanglement entropy.

• While MPS can efficiently find ground states of 1D systems, their capacities are limited when simulating their dynamics, where the entanglement can increase ballistically with time.
• On the other hand, quantum devices appear as a natural platform to encode and perform the time evolution of correlated many-body states.
• However, accessing the regime of long-time dynamics is hampered by quantum noise.