Robust certification of non-projective measurements: theory and experiment
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909890627239936 |
|---|---|
| author | Brinster, Raphael Tirler, Peter Khandelwal, Shishir Meth, Michael Kampermann, Hermann Bruß, Dagmar Blatt, Rainer Ringbauer, Martin Tavakoli, Armin Wyderka, Nikolai |
| author_facet | Brinster, Raphael Tirler, Peter Khandelwal, Shishir Meth, Michael Kampermann, Hermann Bruß, Dagmar Blatt, Rainer Ringbauer, Martin Tavakoli, Armin Wyderka, Nikolai |
| contents | Determining the conditions under which positive operator-valued measures (POVMs), the most general class of quantum measurements, outperform projective measurements remains a challenging and largely unresolved problem. Of particular interest are projectively simulable POVMs, which can be realized through probabilistic mixtures of projective measurements, and therefore offer no advantage over projective schemes. Characterizing the boundary between simulable and non-simulable POVMs is, however, a difficult task, and existing tools either fail to scale efficiently, provide limited experimental feasibility or work only for specific POVMs. Here, we introduce and demonstrate a general method to certify non-simulability of a POVM by introducing a hierarchy of semidefinite programs. It provides upper bounds on the non-simulability measure of critical visibility of arbitrary POVMs which are tight in many cases and outperform previously known criteria. We experimentally certify the non-simulability of two- and three-dimensional POVMs using a trapped-ion qudit quantum processor by constructing non-simulability witnesses and introduce a modification of our framework that makes them robust against state preparation errors. Finally, we extend our results to the setting where an additional ancilla system is available. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04446 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust certification of non-projective measurements: theory and experiment Brinster, Raphael Tirler, Peter Khandelwal, Shishir Meth, Michael Kampermann, Hermann Bruß, Dagmar Blatt, Rainer Ringbauer, Martin Tavakoli, Armin Wyderka, Nikolai Quantum Physics Determining the conditions under which positive operator-valued measures (POVMs), the most general class of quantum measurements, outperform projective measurements remains a challenging and largely unresolved problem. Of particular interest are projectively simulable POVMs, which can be realized through probabilistic mixtures of projective measurements, and therefore offer no advantage over projective schemes. Characterizing the boundary between simulable and non-simulable POVMs is, however, a difficult task, and existing tools either fail to scale efficiently, provide limited experimental feasibility or work only for specific POVMs. Here, we introduce and demonstrate a general method to certify non-simulability of a POVM by introducing a hierarchy of semidefinite programs. It provides upper bounds on the non-simulability measure of critical visibility of arbitrary POVMs which are tight in many cases and outperform previously known criteria. We experimentally certify the non-simulability of two- and three-dimensional POVMs using a trapped-ion qudit quantum processor by constructing non-simulability witnesses and introduce a modification of our framework that makes them robust against state preparation errors. Finally, we extend our results to the setting where an additional ancilla system is available. |
| title | Robust certification of non-projective measurements: theory and experiment |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.04446 |