Multi-Target Density Matrix Renormalization Group X algorithm and its application to circuit quantum electrodynamics
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915365650432000 |
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| author | González-García, Sofía Szasz, Aaron Pagano, Alice Kafri, Dvir Vidal, Guifré Di Paolo, Agustin |
| author_facet | González-García, Sofía Szasz, Aaron Pagano, Alice Kafri, Dvir Vidal, Guifré Di Paolo, Agustin |
| contents | Obtaining accurate representations of the eigenstates of an array of coupled superconducting qubits is a crucial step in the design of circuit quantum electrodynamics (QED)-based quantum processors. However, exact diagonalization of the device Hamiltonian is challenging for system sizes beyond tens of qubits. Here, we employ a variant of the density matrix renormalization group (DMRG) algorithm, DMRG-X, to efficiently obtain localized eigenstates of a 2D transmon array without the need to first compute lower-energy states. We also introduce MTDMRG-X, a new algorithm that combines DMRG-X with multi-target DMRG to efficiently compute excited states even in regimes with strong eigenstate hybridization. We showcase the use of these methods for the analysis of long-range couplings in a multi-transmon Hamiltonian including qubits and couplers, and we discuss eigenstate localization. These developments facilitate the design and parameter optimization of large-scale superconducting quantum processors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_24109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-Target Density Matrix Renormalization Group X algorithm and its application to circuit quantum electrodynamics González-García, Sofía Szasz, Aaron Pagano, Alice Kafri, Dvir Vidal, Guifré Di Paolo, Agustin Quantum Physics Obtaining accurate representations of the eigenstates of an array of coupled superconducting qubits is a crucial step in the design of circuit quantum electrodynamics (QED)-based quantum processors. However, exact diagonalization of the device Hamiltonian is challenging for system sizes beyond tens of qubits. Here, we employ a variant of the density matrix renormalization group (DMRG) algorithm, DMRG-X, to efficiently obtain localized eigenstates of a 2D transmon array without the need to first compute lower-energy states. We also introduce MTDMRG-X, a new algorithm that combines DMRG-X with multi-target DMRG to efficiently compute excited states even in regimes with strong eigenstate hybridization. We showcase the use of these methods for the analysis of long-range couplings in a multi-transmon Hamiltonian including qubits and couplers, and we discuss eigenstate localization. These developments facilitate the design and parameter optimization of large-scale superconducting quantum processors. |
| title | Multi-Target Density Matrix Renormalization Group X algorithm and its application to circuit quantum electrodynamics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.24109 |