Classically computing performance bounds on depolarized quantum circuits

• URL: http://arxiv.org/abs/2306.16360v2
• Date: Fri, 16 Feb 2024 14:06:07 GMT
• Title: Classically computing performance bounds on depolarized quantum circuits
• Authors: Sattwik Deb Mishra, Miguel Fr\'ias-P\'erez, Rahul Trivedi
• Abstract summary: We compute a certifiable lower bound on the minimum energy attainable by the output state of a quantum circuit in the presence of depolarizing noise. We provide theoretical and numerical evidence that this approach can provide circuit-architecture bounds dependent on the performance of noisy quantum circuits.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum computers and simulators can potentially outperform classical computers in finding ground states of classical and quantum Hamiltonians. However, if this advantage can persist in the presence of noise without error correction remains unclear. In this paper, by exploiting the principle of Lagrangian duality, we develop a numerical method to classically compute a certifiable lower bound on the minimum energy attainable by the output state of a quantum circuit in the presence of depolarizing noise. We provide theoretical and numerical evidence that this approach can provide circuit-architecture dependent bounds on the performance of noisy quantum circuits.

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