Efficient Learning of Quantum States Prepared With Few Non-Clifford Gates II: Single-Copy Measurements
Sabee Grewal, Vishnu Iyer, William Kretschmer, Daniel Liang
8/14/2023
quant-phcs.LG
No confident code implementation found for this paper.
Abstract
Recent work has shown that $n$-qubit quantum states output by circuits with at most $t$ single-qubit non-Clifford gates can be learned to trace distance $ε$ using $\mathsf{poly}(n,2^t,1/ε)$ time and samples. All prior algorithms achieving this runtime use entangled measurements across two copies of the input state. In this work, we give a similarly efficient algorithm that learns the same class of states using only single-copy measurements.
