aiqbench analysis
This research presents a significant efficiency breakthrough in quantum state preparation, demonstrating that circuits for weighted d-DNNF states can be generated in linear time relative to the circuit size. By bridging deterministic decomposable pseudo-Boolean logic with quantum circuit synthesis, the study offers a practical method for scaling up complex quantum state definitions without exponential overhead.
Quantum state preparation for weighted d-DNNF
arXiv:2610.02094v1 Announce Type: new Abstract: The quantum state preparation problem is to, given a description of a quantum state, efficiently generate a quantum circuit computing the state. We show that for quantum states described by weighted d-DNNF (deterministic, decomposable pseudo-Boolean circuits) a quantum circuit computing the state can be obtained in linear time up to complex arithmetic.
Abstract:The quantum state preparation problem is to, given a description of a quantum state, efficiently generate a quantum circuit computing the state. We show that for quantum states described by weighted d-DNNF (deterministic, decomposable pseudo-Boolean circuits) a quantum circuit computing the state can be obtained in linear time up to complex arithmetic.
Quantum Physics (quant-ph); Data Structures and Algorithms (cs.DS)
arXiv:2610.02094 [quant-ph]
(or arXiv:2610.02094v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2610.02094 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
Full text under the publisher's open licence · 151 words
Related coverage

Researchers Build Linear-Time Quantum State Circuits
Quantum Zeitgeist · Oct 2, 2026

Quantum Light Creates Superposition States in Matter at Record Speed
Quantum Zeitgeist · Jun 3, 2026
Polylogarithmic-Weight Dicke States in QAC$^0$ and Arbitrary Symmetric States in QAC$^0_f$
arXiv · Aug 27, 2026

Quantum Complexity-Deformed Transport Solves Bell-State Preparation Exactly
Quantum Zeitgeist · Aug 3, 2026