5 papers
Classical shadows with arbitrary group representations
Maxwell West, Frederic Sauvage, Aniruddha Sen +6
Classical shadows (CS) has recently emerged as an important framework to efficiently predict properties of an unknown quantum state. A common strategy in CS protocols is to paramet…
Parameter-optimal unitary synthesis with flag decompositions
Korbinian Kottmann, David Wierichs, Guillermo Alonso-Linaje +1
We introduce the flag decomposition as a central tool for unitary synthesis. It lets us carve out a diagonal unitary with degrees of freedom in such a way that the remaining…
Unitary synthesis with optimal brick wall circuits
David Wierichs, Korbinian Kottmann, Nathan Killoran
We present quantum circuits with a brick wall structure using the optimal number of parameters and two-qubit gates to parametrize , and provide evidence that these circuit…
Backpropagation scaling in parameterised quantum circuits
Joseph Bowles, David Wierichs, Chae-Yeun Park
The discovery of the backpropagation algorithm ranks among one of the most important moments in the history of machine learning, and has made possible the training of large-scale n…
Recursive Cartan decompositions for unitary synthesis
David Wierichs, Maxwell West, Roy T. Forestano +2
Recursive Cartan decompositions (CDs) provide a way to exactly factorize quantum circuits into smaller components, making them a central tool for unitary synthesis. Here we present…