Turning qubit noise into an advantage: Automatic state preparation and long-time dynamics for impurity models on quantum computers
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909713306746880 |
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| author | Bertrand, Corentin Besserve, Pauline Ferrero, Michel Ayral, Thomas |
| author_facet | Bertrand, Corentin Besserve, Pauline Ferrero, Michel Ayral, Thomas |
| contents | Noise is often regarded as a limitation of quantum computers. In this work, we show that in the dynamical mean field theory (DMFT) approach to strongly-correlated systems, it can actually be harnessed to our advantage. Indeed, DMFT maps a lattice model onto an impurity model, namely a finite system coupled to a dissipative bath. While standard approaches require a large number of high-quality qubits in a unitary context, we propose a circuit that harvests amplitude damping to reproduce the dynamics of this model with a blend of noisy and noiseless qubits. We find compelling advantages with this approach: a substantial reduction in the number of qubits, the ability to reach longer time dynamics, and no need for ground state search and preparation. This method would naturally fit in a partial quantum error correction framework. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_13711 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Turning qubit noise into an advantage: Automatic state preparation and long-time dynamics for impurity models on quantum computers Bertrand, Corentin Besserve, Pauline Ferrero, Michel Ayral, Thomas Quantum Physics Strongly Correlated Electrons Noise is often regarded as a limitation of quantum computers. In this work, we show that in the dynamical mean field theory (DMFT) approach to strongly-correlated systems, it can actually be harnessed to our advantage. Indeed, DMFT maps a lattice model onto an impurity model, namely a finite system coupled to a dissipative bath. While standard approaches require a large number of high-quality qubits in a unitary context, we propose a circuit that harvests amplitude damping to reproduce the dynamics of this model with a blend of noisy and noiseless qubits. We find compelling advantages with this approach: a substantial reduction in the number of qubits, the ability to reach longer time dynamics, and no need for ground state search and preparation. This method would naturally fit in a partial quantum error correction framework. |
| title | Turning qubit noise into an advantage: Automatic state preparation and long-time dynamics for impurity models on quantum computers |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2412.13711 |