Optimal Quantum Dataset for Learning a Unitary Transformation

Assisted quantum simulation of open quantum systems

“…Crucially when is learned by a shallow quantum circuit with depth , this part can be approximately simulated with quantum gates. 29 , 68 The depth of Algorithms 3 and 4 are and independent on the system size. Table 1 compares circuit gate complexity of Algorithms 2 , 3 , and 4 .…”

“…Notice that we follow the Algorithm 3 but exact implement the block-diagonal unitary in Example 2, because the rightness of compiling approaches have been verified in works. 29 , 68 …”