Compressing Quantum Fisher Information
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arXiv
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| Auteurs principaux: | , , , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917263232204800 |
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| author | Tang, Rui Jie Marcus, Jeremy Guenza Lupu-Gladstein, Noah Pang, Arthur O. T. Dobney, C. Pria Chiribella, Giulio Steinberg, Aephraim M. Yilmaz, Y. Batuhan |
| author_facet | Tang, Rui Jie Marcus, Jeremy Guenza Lupu-Gladstein, Noah Pang, Arthur O. T. Dobney, C. Pria Chiribella, Giulio Steinberg, Aephraim M. Yilmaz, Y. Batuhan |
| contents | We show that the quantum Fisher information about any phase parameter encoded in a family of pure quantum states can be faithfully compressed into a single qubit, accompanied by a logarithmic amount of classical bits. When the phase is encoded into many identical copies of a qubit state on the equator of the Bloch sphere, we show that the compression can be implemented sequentially, by iteratively compressing pairs of qubits into a single qubit. We experimentally demonstrate this building block in a photonic setup, developing two alternative compression strategies, based on Type-I fusion gate and a postselected implementation of the CNOT gate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09358 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Compressing Quantum Fisher Information Tang, Rui Jie Marcus, Jeremy Guenza Lupu-Gladstein, Noah Pang, Arthur O. T. Dobney, C. Pria Chiribella, Giulio Steinberg, Aephraim M. Yilmaz, Y. Batuhan Quantum Physics We show that the quantum Fisher information about any phase parameter encoded in a family of pure quantum states can be faithfully compressed into a single qubit, accompanied by a logarithmic amount of classical bits. When the phase is encoded into many identical copies of a qubit state on the equator of the Bloch sphere, we show that the compression can be implemented sequentially, by iteratively compressing pairs of qubits into a single qubit. We experimentally demonstrate this building block in a photonic setup, developing two alternative compression strategies, based on Type-I fusion gate and a postselected implementation of the CNOT gate. |
| title | Compressing Quantum Fisher Information |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2602.09358 |