Non-stabilizerness in kinetically-constrained Rydberg atom arrays
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909707118051328 |
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| author | Smith, Ryan Papić, Zlatko Hallam, Andrew |
| author_facet | Smith, Ryan Papić, Zlatko Hallam, Andrew |
| contents | Non-stabilizer states are a fundamental resource for universal quantum computation. However,despite broad significance in quantum computing, the emergence of "many-body" non-stabilizerness in interacting quantum systems remains poorly understood due to its analytical intractability. Here we show that Rydberg atom arrays provide a natural reservoir of non-stabilizerness that extends beyond single qubits and arises from quantum correlations engendered by the Rydberg blockade. We demonstrate that this non-stabilizerness can be experimentally accessed in two complementary ways, either by performing quench dynamics or via adiabatic ground state preparation. Using the analytical framework based on matrix product states, we explain the origin of Rydberg nonstabilizerness via a quantum circuit decomposition of the wave function. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_14348 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-stabilizerness in kinetically-constrained Rydberg atom arrays Smith, Ryan Papić, Zlatko Hallam, Andrew Quantum Physics Quantum Gases Strongly Correlated Electrons Non-stabilizer states are a fundamental resource for universal quantum computation. However,despite broad significance in quantum computing, the emergence of "many-body" non-stabilizerness in interacting quantum systems remains poorly understood due to its analytical intractability. Here we show that Rydberg atom arrays provide a natural reservoir of non-stabilizerness that extends beyond single qubits and arises from quantum correlations engendered by the Rydberg blockade. We demonstrate that this non-stabilizerness can be experimentally accessed in two complementary ways, either by performing quench dynamics or via adiabatic ground state preparation. Using the analytical framework based on matrix product states, we explain the origin of Rydberg nonstabilizerness via a quantum circuit decomposition of the wave function. |
| title | Non-stabilizerness in kinetically-constrained Rydberg atom arrays |
| topic | Quantum Physics Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.14348 |