Quantum circuit compilation and hybrid computation using Pauli-based computation

• URL: http://arxiv.org/abs/2203.01789v2
• Date: Thu, 28 Sep 2023 13:38:16 GMT
• Title: Quantum circuit compilation and hybrid computation using Pauli-based computation
• Authors: Filipa C. R. Peres and Ernesto F. Galv\~ao
• Abstract summary: Pauli-based computation (PBC) is driven by a sequence of adaptively chosen, non-destructive measurements of Pauli observables. We propose practical ways of implementing PBC as adaptive quantum circuits and provide code to do the required classical side-processing.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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