Student Seminar | October 21, 16:30
Quantum circuit compilation for short-range correlated matrix product states
We propose a variational algorithm to find a local quantum circuit representation of one-dimensional quantum states with finite-range correlations. The algorithm is divided into two steps. The first step is inspired by recent protocols to learn experimentally prepared quantum circuit states, and it is based on the intuition that finite-range correlated states may be reconstructed starting from their local reduced density matrices. This step outputs a first quantum-circuit approximation that is used as a warm start for a standard variational optimization procedure, representing the second step of our algorithm. We present extensive numerical results demonstrating the use of our protocol in the context of matrix product states (MPS). We also compare our approach with other state-of-the-art algorithms, discussing its strengths and weaknesses.
University of Bologna
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Contact: Konstantin Weisenberger