On Quantum Steering and Wigner Negativity
Quantum correlations and Wigner negativity are two important signatures of nonclassicality in continuous-variable quantum systems. In this work, we investigate how both are intertwined in the context of the conditional generation of Wigner negativity. It was previously shown that when Alice and Bob...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-06-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-06-07-1038/pdf/ |
| _version_ | 1827931629851508736 |
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| author | Mattia Walschaers |
| author_facet | Mattia Walschaers |
| author_sort | Mattia Walschaers |
| collection | DOAJ |
| description | Quantum correlations and Wigner negativity are two important signatures of nonclassicality in continuous-variable quantum systems. In this work, we investigate how both are intertwined in the context of the conditional generation of Wigner negativity. It was previously shown that when Alice and Bob share a Gaussian state, Bob can perform some measurement on his system to create Wigner negativity on Alice's side if and only if there is Gaussian steering from Alice to Bob. In this work, we attempt to generalise these findings to a much broader class of scenarios on which Alice and Bob share a non-Gaussian state. We show that if Alice can initially steer Bob's system with Wigner-positive measurements, Bob can remotely create Wigner negativity in Alice's subsystem. Even though this shows that quantum steering is sufficient, we also show that quantum correlations are in general not necessary for the conditional generation of Wigner negativity. |
| first_indexed | 2024-03-13T06:56:22Z |
| format | Article |
| id | doaj.art-f32ab535dfd54676bbd0e9e7ad060743 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-13T06:56:22Z |
| publishDate | 2023-06-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-f32ab535dfd54676bbd0e9e7ad0607432023-06-07T11:04:38ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-06-017103810.22331/q-2023-06-07-103810.22331/q-2023-06-07-1038On Quantum Steering and Wigner NegativityMattia WalschaersQuantum correlations and Wigner negativity are two important signatures of nonclassicality in continuous-variable quantum systems. In this work, we investigate how both are intertwined in the context of the conditional generation of Wigner negativity. It was previously shown that when Alice and Bob share a Gaussian state, Bob can perform some measurement on his system to create Wigner negativity on Alice's side if and only if there is Gaussian steering from Alice to Bob. In this work, we attempt to generalise these findings to a much broader class of scenarios on which Alice and Bob share a non-Gaussian state. We show that if Alice can initially steer Bob's system with Wigner-positive measurements, Bob can remotely create Wigner negativity in Alice's subsystem. Even though this shows that quantum steering is sufficient, we also show that quantum correlations are in general not necessary for the conditional generation of Wigner negativity.https://quantum-journal.org/papers/q-2023-06-07-1038/pdf/ |
| spellingShingle | Mattia Walschaers On Quantum Steering and Wigner Negativity Quantum |
| title | On Quantum Steering and Wigner Negativity |
| title_full | On Quantum Steering and Wigner Negativity |
| title_fullStr | On Quantum Steering and Wigner Negativity |
| title_full_unstemmed | On Quantum Steering and Wigner Negativity |
| title_short | On Quantum Steering and Wigner Negativity |
| title_sort | on quantum steering and wigner negativity |
| url | https://quantum-journal.org/papers/q-2023-06-07-1038/pdf/ |
| work_keys_str_mv | AT mattiawalschaers onquantumsteeringandwignernegativity |