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Journal Article Three-qubit-state preparation: Classification and explicit circuits
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Authors
Yonghae Lee, Taewan Kim
Issue Date
2026-06
Citation
Physical Review A, v.113, no.6, pp.1-16
ISSN
2469-9926
Publisher
American Physical Society
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1103/5bw6-339b
Abstract
We develop a deterministic and fully explicit framework for preparing an arbitrary three-qubit pure state from its computational-basis amplitudes. Our approach exploits bipartite Schmidt structure: we classify three-qubit states into five types with respect to a 1 | 2 bipartition and provide concrete, concurrence-based criteria that identify the type and extract the required Schmidt data directly from the target amplitudes. For each type, we derive an explicit circuit template built from elementary single-qubit rotations and gates, together with an end-to-end parameter map that specifies all gate angles and phases without procedural ambiguity. The resulting constructions are arranged to use only gates between adjacent qubits, making them directly deployable on restricted-connectivity hardware. As an application, we group widely used three-qubit states into four representative classes and obtain class-adapted circuits whose parameters are read off from the amplitude and phase data; in several regimes, these specialized circuits reduce entangling-gate count and overall depth relative to universal templates.
KSP Keywords
End to End(E2E), Fully explicit, Pure state, State preparation, parameter map
This work is distributed under the term of Creative Commons License (CCL)
(CC BY)
CC BY