Variational Quantum Simulation of Valence-Bond Solids
We introduce a hybrid quantum-classical variational algorithm to simulate ground-state phase diagrams of frustrated quantum spin models in the thermodynamic limit. The method is based on a cluster-Gutzwiller ansatz where the wave function of the cluster is provided by a parameterized quantum circuit...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2022-12-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2022-12-13-874/pdf/ |
| _version_ | 1811293569823014912 |
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| author | Daniel Huerga |
| author_facet | Daniel Huerga |
| author_sort | Daniel Huerga |
| collection | DOAJ |
| description | We introduce a hybrid quantum-classical variational algorithm to simulate ground-state phase diagrams of frustrated quantum spin models in the thermodynamic limit. The method is based on a cluster-Gutzwiller ansatz where the wave function of the cluster is provided by a parameterized quantum circuit whose key ingredient is a two-qubit real XY gate allowing to efficiently generate valence-bonds on nearest-neighbor qubits. Additional tunable single-qubit Z- and two-qubit ZZ-rotation gates allow the description of magnetically ordered and paramagnetic phases while restricting the variational optimization to the U(1) subspace. We benchmark the method against the $J1-J2$ Heisenberg model on the square lattice and uncover its phase diagram, which hosts long-range ordered Neel and columnar anti-ferromagnetic phases, as well as an intermediate valence-bond solid phase characterized by a periodic pattern of 2×2 strongly-correlated plaquettes. Our results show that the convergence of the algorithm is guided by the onset of long-range order, opening a promising route to synthetically realize frustrated quantum magnets and their quantum phase transition to paramagnetic valence-bond solids with currently developed superconducting circuit devices. |
| first_indexed | 2024-04-13T05:04:23Z |
| format | Article |
| id | doaj.art-4e5dc20fe444460da7213dfed13c6f04 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-13T05:04:23Z |
| publishDate | 2022-12-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-4e5dc20fe444460da7213dfed13c6f042022-12-22T03:01:14ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-12-01687410.22331/q-2022-12-13-87410.22331/q-2022-12-13-874Variational Quantum Simulation of Valence-Bond SolidsDaniel HuergaWe introduce a hybrid quantum-classical variational algorithm to simulate ground-state phase diagrams of frustrated quantum spin models in the thermodynamic limit. The method is based on a cluster-Gutzwiller ansatz where the wave function of the cluster is provided by a parameterized quantum circuit whose key ingredient is a two-qubit real XY gate allowing to efficiently generate valence-bonds on nearest-neighbor qubits. Additional tunable single-qubit Z- and two-qubit ZZ-rotation gates allow the description of magnetically ordered and paramagnetic phases while restricting the variational optimization to the U(1) subspace. We benchmark the method against the $J1-J2$ Heisenberg model on the square lattice and uncover its phase diagram, which hosts long-range ordered Neel and columnar anti-ferromagnetic phases, as well as an intermediate valence-bond solid phase characterized by a periodic pattern of 2×2 strongly-correlated plaquettes. Our results show that the convergence of the algorithm is guided by the onset of long-range order, opening a promising route to synthetically realize frustrated quantum magnets and their quantum phase transition to paramagnetic valence-bond solids with currently developed superconducting circuit devices.https://quantum-journal.org/papers/q-2022-12-13-874/pdf/ |
| spellingShingle | Daniel Huerga Variational Quantum Simulation of Valence-Bond Solids Quantum |
| title | Variational Quantum Simulation of Valence-Bond Solids |
| title_full | Variational Quantum Simulation of Valence-Bond Solids |
| title_fullStr | Variational Quantum Simulation of Valence-Bond Solids |
| title_full_unstemmed | Variational Quantum Simulation of Valence-Bond Solids |
| title_short | Variational Quantum Simulation of Valence-Bond Solids |
| title_sort | variational quantum simulation of valence bond solids |
| url | https://quantum-journal.org/papers/q-2022-12-13-874/pdf/ |
| work_keys_str_mv | AT danielhuerga variationalquantumsimulationofvalencebondsolids |