Rafael WagnerNew #QLOC_INL#arXiv of PhD Student Filipa Peres!!!
Her prior work on #Pauli_Based_Quantum_Computation (PBC) on hybrid computation https://arxiv.org/abs/2203.01789, together with Ernesto Galvão, improved the cost of compilation and #hybrid_computation using PBC (with open source code for it!).
PBC so far used only qubit encoding, but #error_correction or photonic computation that encode information on #qudits are of great relevance. In her new work, she generalizes PBC to qudits! https://arxiv.org/abs/2302.13702
Quantum circuit compilation and hybrid computation using Pauli-based computation
Pauli-based computation (PBC) is driven by a sequence of adaptively chosen, non-destructive measurements of Pauli observables. Any quantum circuit written in terms of the Clifford+$T$ gate set and having $t$ $T$ gates can be compiled into a PBC on $t$ qubits. Here we propose practical ways of implementing PBC as adaptive quantum circuits and provide code to do the required classical side-processing. Our schemes reduce the number of quantum gates to $O(t^2)$ (from a previous $O(t^3 / \log t)$ scaling) and space/time trade-offs are discussed which lead to a reduction of the depth from $O(t \log t)$ to $O(t)$ within our schemes, at the cost of $t$ additional auxiliary qubits. We compile examples of random and hidden-shift quantum circuits into adaptive PBC circuits. We also simulate hybrid quantum computation, where a classical computer effectively extends the working memory of a small quantum computer by $k$ virtual qubits, at a cost exponential in $k$. Our results demonstrate the practical advantage of PBC techniques for circuit compilation and hybrid computation.