Non-Gaussian Quantum State Engineering with Postselected von Neumann Measurements
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912616780136448 |
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| author | Yao, Xiao-Xi Turek, Yusuf |
| author_facet | Yao, Xiao-Xi Turek, Yusuf |
| contents | We introduce a feasible protocol for generating non-Gaussian (nG) states via postselected von Neumann measurement for continuous-variable quantum information processing. The method uses a two-level system coupled to a Gaussian pointer state through an observable $A$ with $A^{2}=\mathbb{I}$. By operating beyond the weak-coupling regime and selecting different pointer states -- squeezed, coherent, or vacuum -- allows generation of a wide range of nG states, including squeezed cat states, two-mode entangled cat states, approximate Bell states, and a continuum of intermediate nG states with considerable success probabilities. The properties of these states are widely tunable via the postselection-induced weak value and the measurement interaction strength. We characterize the non-Gaussianity via Wigner function negativities and quantify entanglement using linear entropy and concurrence. The protocol offers a scalable route to high-purity nG state engineering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Gaussian Quantum State Engineering with Postselected von Neumann Measurements Yao, Xiao-Xi Turek, Yusuf Quantum Physics We introduce a feasible protocol for generating non-Gaussian (nG) states via postselected von Neumann measurement for continuous-variable quantum information processing. The method uses a two-level system coupled to a Gaussian pointer state through an observable $A$ with $A^{2}=\mathbb{I}$. By operating beyond the weak-coupling regime and selecting different pointer states -- squeezed, coherent, or vacuum -- allows generation of a wide range of nG states, including squeezed cat states, two-mode entangled cat states, approximate Bell states, and a continuum of intermediate nG states with considerable success probabilities. The properties of these states are widely tunable via the postselection-induced weak value and the measurement interaction strength. We characterize the non-Gaussianity via Wigner function negativities and quantify entanglement using linear entropy and concurrence. The protocol offers a scalable route to high-purity nG state engineering. |
| title | Non-Gaussian Quantum State Engineering with Postselected von Neumann Measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.24188 |