Quasiprobability distributions with weak measurements
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908506678886400 |
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| author | Bizzarri, Gabriele Gherardini, Stefano Manrique, Mylenne Bruni, Fabio Gianani, Ilaria Barbieri, Marco |
| author_facet | Bizzarri, Gabriele Gherardini, Stefano Manrique, Mylenne Bruni, Fabio Gianani, Ilaria Barbieri, Marco |
| contents | We discuss and experimentally demonstrate the role of quantum coherence in a sequence of two measurements collected at different times using weak measurements. For this purpose, we have realized a weak-sequential measurement protocol with photonic qubits, where the first measurement is carried out as a positive operator-valued measure, whereas the second one is a projective operation. We determine the quasiprobability distributions associated to this procedure using both the commensurate and the Margenau-Hill quasiprobabilities approaches. By tuning the weak measurements, we obtain a quasidistribution that may or may not exhibit negative parts, depending on the suitability of a contextual model for describing the experiment. Our results show how quasidistributions may find application in inspecting quantum monitoring, when part of the initial quantum coherence needs to be preserved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasiprobability distributions with weak measurements Bizzarri, Gabriele Gherardini, Stefano Manrique, Mylenne Bruni, Fabio Gianani, Ilaria Barbieri, Marco Quantum Physics We discuss and experimentally demonstrate the role of quantum coherence in a sequence of two measurements collected at different times using weak measurements. For this purpose, we have realized a weak-sequential measurement protocol with photonic qubits, where the first measurement is carried out as a positive operator-valued measure, whereas the second one is a projective operation. We determine the quasiprobability distributions associated to this procedure using both the commensurate and the Margenau-Hill quasiprobabilities approaches. By tuning the weak measurements, we obtain a quasidistribution that may or may not exhibit negative parts, depending on the suitability of a contextual model for describing the experiment. Our results show how quasidistributions may find application in inspecting quantum monitoring, when part of the initial quantum coherence needs to be preserved. |
| title | Quasiprobability distributions with weak measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2406.06713 |