Anytime-Valid Quantum State Tomography via Confidence Sequences
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866909045058699264 |
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| author | Cumitini, Aldo Barletta, Luca Simeone, Osvaldo |
| author_facet | Cumitini, Aldo Barletta, Luca Simeone, Osvaldo |
| contents | In this letter, we address the problem of developing quantum state tomography (QST) methods that remain valid at any time during a sequence of measurements. Specifically, the aim is to provide a rigorous quantification of the uncertainty associated with the current state estimate as data are acquired incrementally. To this end, the proposed framework augments existing QST techniques by associating current point estimates of the state with confidence sets that are guaranteed to contain the true quantum state with a user-defined probability. The methodology is grounded in recent statistical advances in anytime-valid confidence sequences. Numerical results confirm the theoretical coverage properties of the proposed anytime-valid QST. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20761 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anytime-Valid Quantum State Tomography via Confidence Sequences Cumitini, Aldo Barletta, Luca Simeone, Osvaldo Information Theory Statistics Theory In this letter, we address the problem of developing quantum state tomography (QST) methods that remain valid at any time during a sequence of measurements. Specifically, the aim is to provide a rigorous quantification of the uncertainty associated with the current state estimate as data are acquired incrementally. To this end, the proposed framework augments existing QST techniques by associating current point estimates of the state with confidence sets that are guaranteed to contain the true quantum state with a user-defined probability. The methodology is grounded in recent statistical advances in anytime-valid confidence sequences. Numerical results confirm the theoretical coverage properties of the proposed anytime-valid QST. |
| title | Anytime-Valid Quantum State Tomography via Confidence Sequences |
| topic | Information Theory Statistics Theory |
| url | https://arxiv.org/abs/2601.20761 |