aiqbench analysis
This research advances quantum control by demonstrating how stochastic noise can be harnessed as a resource to synthesize arbitrary non-Hermitian Hamiltonians via Floquet engineering. The approach enables the generation of non-unitary gates and state preparation without requiring ancillary qubits or external loss/gain mechanisms, offering new pathways for dissipative quantum computing architectures.
Synthesizing Arbitrary Non-Hermitian Hamiltonian with Stochastic Floquet Engineering
arXiv:2606.15664v1 Announce Type: new 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.
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.
Quantum Physics (quant-ph); Optics (physics.optics)
arXiv:2606.15664 [quant-ph]
(or arXiv:2606.15664v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2606.15664 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 223 words