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arXiv · 2102.08406

Quantum Chaos is Quantum

Lorenzo Leone·Salvatore F. E. Oliviero·You Zhou·Alioscia Hamma
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Abstract

It is well known that a quantum circuit on $N$ qubits composed of Clifford gates with the addition of $k$ non Clifford gates can be simulated on a classical computer by an algorithm scaling as $\text{poly}(N)\exp(k)$[1]. We show that, for a quantum circuit to simulate quantum chaotic behavior, it is both necessary and sufficient that $k=O(N)$. This result implies the impossibility of simulating quantum chaos on a classical computer.

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Lorenzo Leone, Salvatore F. E. Oliviero, You Zhou, Alioscia Hamma. 2021-02-16. Quantum Chaos is Quantum. https://doi.org/10.22331/q-2021-05-04-453

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