Efficient Quantum Cooling Algorithm for Fermionic Systems
We present a cooling algorithm for ground state preparation of fermionic Hamiltonians. Our algorithm makes use of the Hamiltonian simulation of the considered system coupled to an ancillary fridge, which is regularly reset to its known ground state. We derive suitable interaction Hamiltonians that o...
| Hauptverfasser: | , , |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-02-01
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| Schriftenreihe: | Quantum |
| Online Zugang: | https://quantum-journal.org/papers/q-2025-02-18-1635/pdf/ |
| _version_ | 1826801755085602816 |
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| author | Lucas Marti Refik Mansuroglu Michael J. Hartmann |
| author_facet | Lucas Marti Refik Mansuroglu Michael J. Hartmann |
| author_sort | Lucas Marti |
| collection | DOAJ |
| description | We present a cooling algorithm for ground state preparation of fermionic Hamiltonians. Our algorithm makes use of the Hamiltonian simulation of the considered system coupled to an ancillary fridge, which is regularly reset to its known ground state. We derive suitable interaction Hamiltonians that originate from ladder operators of the free theory and initiate resonant gaps between system and fridge. We further propose a spectroscopic scan to find the relevant eigenenergies of the system using energy measurements on the fridge. With these insights, we design a ground state cooling algorithm for fermionic systems that is efficient, i.e. its runtime is polynomial in the system size, as long as the initial state is prepared in a low-energy sector of polynomial size. We achieve the latter via a pseudo-adiabatic sweep from a parameter regime whose ground state can be easily prepared. We estimate that our algorithm has a polynomial runtime for systems where the spectral gap decreases at most polynomially in system size, and is faster than the adiabatic algorithm for a large range of settings. We generalize the algorithm to prepare thermal states and demonstrate our findings on the Fermi-Hubbard model. |
| first_indexed | 2025-03-17T01:11:54Z |
| format | Article |
| id | doaj.art-704cb97837cd429a8f16b9f1d44f1b51 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2025-03-17T01:11:54Z |
| publishDate | 2025-02-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-704cb97837cd429a8f16b9f1d44f1b512025-02-18T16:11:14ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-02-019163510.22331/q-2025-02-18-163510.22331/q-2025-02-18-1635Efficient Quantum Cooling Algorithm for Fermionic SystemsLucas MartiRefik MansurogluMichael J. HartmannWe present a cooling algorithm for ground state preparation of fermionic Hamiltonians. Our algorithm makes use of the Hamiltonian simulation of the considered system coupled to an ancillary fridge, which is regularly reset to its known ground state. We derive suitable interaction Hamiltonians that originate from ladder operators of the free theory and initiate resonant gaps between system and fridge. We further propose a spectroscopic scan to find the relevant eigenenergies of the system using energy measurements on the fridge. With these insights, we design a ground state cooling algorithm for fermionic systems that is efficient, i.e. its runtime is polynomial in the system size, as long as the initial state is prepared in a low-energy sector of polynomial size. We achieve the latter via a pseudo-adiabatic sweep from a parameter regime whose ground state can be easily prepared. We estimate that our algorithm has a polynomial runtime for systems where the spectral gap decreases at most polynomially in system size, and is faster than the adiabatic algorithm for a large range of settings. We generalize the algorithm to prepare thermal states and demonstrate our findings on the Fermi-Hubbard model.https://quantum-journal.org/papers/q-2025-02-18-1635/pdf/ |
| spellingShingle | Lucas Marti Refik Mansuroglu Michael J. Hartmann Efficient Quantum Cooling Algorithm for Fermionic Systems Quantum |
| title | Efficient Quantum Cooling Algorithm for Fermionic Systems |
| title_full | Efficient Quantum Cooling Algorithm for Fermionic Systems |
| title_fullStr | Efficient Quantum Cooling Algorithm for Fermionic Systems |
| title_full_unstemmed | Efficient Quantum Cooling Algorithm for Fermionic Systems |
| title_short | Efficient Quantum Cooling Algorithm for Fermionic Systems |
| title_sort | efficient quantum cooling algorithm for fermionic systems |
| url | https://quantum-journal.org/papers/q-2025-02-18-1635/pdf/ |
| work_keys_str_mv | AT lucasmarti efficientquantumcoolingalgorithmforfermionicsystems AT refikmansuroglu efficientquantumcoolingalgorithmforfermionicsystems AT michaeljhartmann efficientquantumcoolingalgorithmforfermionicsystems |