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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.
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Quantum state preparation for weighted d-DNNF

arXiv1 min read

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)

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Full text under the publisher's open licence · 151 words

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