Floquet-ADAPT-VQE: A Quantum Algorithm to Simulate Non-Equilibrium Physics in Periodically Driven Systems
A new preprint presents Floquet-ADAPT-VQE, a variational algorithm that extends the ADAPT-VQE approach to periodically driven quantum systems. The authors argue that simulating time-periodic dynamics is more challenging classically than static cases, which could make it a useful setting for quantum advantage. The work is framed as a foundation for quantum simulation of non-equilibrium physics.
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What this could mean
- 0–2 yearsSpeculative
If Floquet-ADAPT-VQE circuits remain shallow enough for noisy hardware, researchers could use existing quantum processors to probe driven phenomena such as Floquet prethermalization or discrete time crystals in small systems within two years.
ADAPT-VQE already produces compact ansatze by iterative operator selection, and Floquet evolution can often be encoded using time-independent effective descriptions. However, the method is newly proposed and has not yet been demonstrated on hardware, so this depends on noise resilience and circuit depth remaining manageable.
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