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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.17642 |
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| _version_ | 1866915257049415680 |
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| author | Huerta-Ruiz, Raziel Araya-Gaete, Maximiliano Tancara, Diego Solano, Enrique Barraza, Nancy Albarrán-Arriagada, Francisco |
| author_facet | Huerta-Ruiz, Raziel Araya-Gaete, Maximiliano Tancara, Diego Solano, Enrique Barraza, Nancy Albarrán-Arriagada, Francisco |
| contents | Counterdiabatic driving emerges as a valuable technique for implementing shortcuts to adiabaticity protocols, enhancing quantum technology applications. In this context, counterdiabatic quantum computing represents a new paradigm with the potential to achieve quantum advantage for industrial problems. This work investigates the production of quantum coherence in adiabatic evolution accelerated by counterdiabatic driving within the framework of counterdiabatic quantum computing. Specifically, we analyze different orders in the nested commutator expansion for approximated counterdiabatic drivings for three cases: a weighted max-cut problem, a 4-local Hamiltonian, and a non-stoquastic Hamiltonian. Our findings reveal that the hierarchy introduced by coherence production correlates with the success probability in the impulse regime. This suggests that protocols increasing coherence during evolution enhance performance in adiabatic evolution driven by counterdiabatic techniques. We show that large quantum coherence also means large energy fluctuation during evolution, which is associated with the speed of evolution, paving the way for designing superior algorithms in counterdiabatic quantum computing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17642 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum coherence and counterdiabatic quantum computing Huerta-Ruiz, Raziel Araya-Gaete, Maximiliano Tancara, Diego Solano, Enrique Barraza, Nancy Albarrán-Arriagada, Francisco Quantum Physics Counterdiabatic driving emerges as a valuable technique for implementing shortcuts to adiabaticity protocols, enhancing quantum technology applications. In this context, counterdiabatic quantum computing represents a new paradigm with the potential to achieve quantum advantage for industrial problems. This work investigates the production of quantum coherence in adiabatic evolution accelerated by counterdiabatic driving within the framework of counterdiabatic quantum computing. Specifically, we analyze different orders in the nested commutator expansion for approximated counterdiabatic drivings for three cases: a weighted max-cut problem, a 4-local Hamiltonian, and a non-stoquastic Hamiltonian. Our findings reveal that the hierarchy introduced by coherence production correlates with the success probability in the impulse regime. This suggests that protocols increasing coherence during evolution enhance performance in adiabatic evolution driven by counterdiabatic techniques. We show that large quantum coherence also means large energy fluctuation during evolution, which is associated with the speed of evolution, paving the way for designing superior algorithms in counterdiabatic quantum computing. |
| title | Quantum coherence and counterdiabatic quantum computing |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.17642 |