Non-stabilizerness and entanglement from cat-state injection
Recently, cat states have been used to heuristically improve the runtime of a classical simulator of quantum circuits based on the diagrammatic ZX -calculus. Here we investigate the use of cat-state injection within the quantum circuit model. We explore a family of cat states, $\left| \mathrm{cat}_m...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad1b80 |
| _version_ | 1827370023194198016 |
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| author | Filipa C R Peres Rafael Wagner Ernesto F Galvão |
| author_facet | Filipa C R Peres Rafael Wagner Ernesto F Galvão |
| author_sort | Filipa C R Peres |
| collection | DOAJ |
| description | Recently, cat states have been used to heuristically improve the runtime of a classical simulator of quantum circuits based on the diagrammatic ZX -calculus. Here we investigate the use of cat-state injection within the quantum circuit model. We explore a family of cat states, $\left| \mathrm{cat}_m^* \right\rangle$ , and describe circuit gadgets using them to concurrently inject non-stabilizerness (also known as magic) and entanglement into any quantum circuit. We provide numerical evidence that cat-state injection does not lead to speed-up in classical simulation. On the other hand, we show that our gadgets can be used to widen the scope of compelling applications of cat states. Specifically, we show how to leverage them to achieve savings in the number of injected qubits, and also to induce scrambling dynamics in otherwise non-entangling Clifford circuits in a controlled manner. |
| first_indexed | 2024-03-08T10:01:15Z |
| format | Article |
| id | doaj.art-e09575ef28374f0eaf36ac0b571daf53 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-08T10:01:15Z |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e09575ef28374f0eaf36ac0b571daf532024-01-29T11:19:29ZengIOP PublishingNew Journal of Physics1367-26302024-01-0126101305110.1088/1367-2630/ad1b80Non-stabilizerness and entanglement from cat-state injectionFilipa C R Peres0https://orcid.org/0000-0003-2465-4546Rafael Wagner1https://orcid.org/0000-0001-8432-064XErnesto F Galvão2https://orcid.org/0000-0003-2582-9918INL—International Iberian Nanotechnology Laboratory , Braga, Portugal; Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto , Porto, PortugalINL—International Iberian Nanotechnology Laboratory , Braga, Portugal; Centro de Física, Universidade do Minho , Braga, PortugalINL—International Iberian Nanotechnology Laboratory , Braga, Portugal; Instituto de Física, Universidade Federal Fluminense , Niterói, RJ, BrazilRecently, cat states have been used to heuristically improve the runtime of a classical simulator of quantum circuits based on the diagrammatic ZX -calculus. Here we investigate the use of cat-state injection within the quantum circuit model. We explore a family of cat states, $\left| \mathrm{cat}_m^* \right\rangle$ , and describe circuit gadgets using them to concurrently inject non-stabilizerness (also known as magic) and entanglement into any quantum circuit. We provide numerical evidence that cat-state injection does not lead to speed-up in classical simulation. On the other hand, we show that our gadgets can be used to widen the scope of compelling applications of cat states. Specifically, we show how to leverage them to achieve savings in the number of injected qubits, and also to induce scrambling dynamics in otherwise non-entangling Clifford circuits in a controlled manner.https://doi.org/10.1088/1367-2630/ad1b80quantum informationcat statesquantum simulationquantum resource reductioninformation scrambling |
| spellingShingle | Filipa C R Peres Rafael Wagner Ernesto F Galvão Non-stabilizerness and entanglement from cat-state injection New Journal of Physics quantum information cat states quantum simulation quantum resource reduction information scrambling |
| title | Non-stabilizerness and entanglement from cat-state injection |
| title_full | Non-stabilizerness and entanglement from cat-state injection |
| title_fullStr | Non-stabilizerness and entanglement from cat-state injection |
| title_full_unstemmed | Non-stabilizerness and entanglement from cat-state injection |
| title_short | Non-stabilizerness and entanglement from cat-state injection |
| title_sort | non stabilizerness and entanglement from cat state injection |
| topic | quantum information cat states quantum simulation quantum resource reduction information scrambling |
| url | https://doi.org/10.1088/1367-2630/ad1b80 |
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