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arXiv:2606.15664

Synthesizing Arbitrary Non-Hermitian Hamiltonian with Stochastic Floquet Engineering

Lingzhen Guo, Hui Jing

quant-phphysics.opticsSubmitted Jun 14, 2026• Announced Jun 16, 2026• 0 citations
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Abstract

The conventional Floquet engineering scheme synthesizes a given target Hamiltonian with a deterministic temporal periodic driving field. In this work, we introduce the stochastic Floquet engineering scheme that can synthesize an arbitrary non-Hermitian target Hamiltonian using a time-periodic driving field with noisy amplitude. Our method is rooted in the Hermitian dynamics taking noise as a valuable quantum resource with no need for loss or gain in prior. We apply our method to engineer a cavity Hamiltonian with dissipative coupling between Fock states, and to prepare a given quantum state from a generally arbitrary quantum state. The stochastic Floqut engineering also provides a way to generate non-unitary quantum gates, which take advantage in certain tasks compared to unitary quantum computing, without the need for ancillae or state-dependent updating.

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12 pages, 3 figures

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