Synthesizing Arbitrary Non-Hermitian Hamiltonian with Stochastic Floquet Engineering

• URL: http://arxiv.org/abs/2606.15664v1
• Date: Sun, 14 Jun 2026 08:10:30 GMT
• Title: Synthesizing Arbitrary Non-Hermitian Hamiltonian with Stochastic Floquet Engineering
• Abstract summary: We introduce the Floquet engineering scheme that can synthesize an arbitrary non-Hermitian target Hamiltonian.<n>Our method is rooted in the Hermitian dynamics taking noise as a valuable quantum resource with no need for loss or gain in prior.
• Score: 0.45835414225547183
• License: http://creativecommons.org/licenses/by/4.0/
• 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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