Projected cooling algorithm for quantum computation
In the current era of noisy quantum devices, there is a need for quantum algorithms that are efficient and robust against noise. Towards this end, we introduce the projected cooling algorithm for quantum computation. The projected cooling algorithm is able to construct the localized ground state of...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320303403 |
| _version_ | 1818826553735249920 |
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| author | Dean Lee Joey Bonitati Gabriel Given Caleb Hicks Ning Li Bing-Nan Lu Abudit Rai Avik Sarkar Jacob Watkins |
| author_facet | Dean Lee Joey Bonitati Gabriel Given Caleb Hicks Ning Li Bing-Nan Lu Abudit Rai Avik Sarkar Jacob Watkins |
| author_sort | Dean Lee |
| collection | DOAJ |
| description | In the current era of noisy quantum devices, there is a need for quantum algorithms that are efficient and robust against noise. Towards this end, we introduce the projected cooling algorithm for quantum computation. The projected cooling algorithm is able to construct the localized ground state of any Hamiltonian with a translationally-invariant kinetic energy and interactions that vanish at large distances. The term “localized” refers to localization in position space. The method can be viewed as the quantum analog of evaporative cooling. We start with an initial state with support over a compact region of a large volume. We then drive the excited quantum states to disperse and measure the remaining portion of the wave function left behind. For the nontrivial examples we consider here, the improvement over other methods is substantial. The only additional resource required is performing the operations in a volume significantly larger than the size of the localized state. These characteristics make the projected cooling algorithm a promising tool for calculations of self-bound systems such as atomic nuclei. |
| first_indexed | 2024-12-19T00:29:30Z |
| format | Article |
| id | doaj.art-dc79c27f6bcc4d9ca707e5dda41a0e52 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-19T00:29:30Z |
| publishDate | 2020-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-dc79c27f6bcc4d9ca707e5dda41a0e522022-12-21T20:45:09ZengElsevierPhysics Letters B0370-26932020-08-01807135536Projected cooling algorithm for quantum computationDean Lee0Joey Bonitati1Gabriel Given2Caleb Hicks3Ning Li4Bing-Nan Lu5Abudit Rai6Avik Sarkar7Jacob Watkins8Corresponding author.; Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAFacility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAFacility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAFacility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAFacility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAFacility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAFacility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAFacility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAFacility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAIn the current era of noisy quantum devices, there is a need for quantum algorithms that are efficient and robust against noise. Towards this end, we introduce the projected cooling algorithm for quantum computation. The projected cooling algorithm is able to construct the localized ground state of any Hamiltonian with a translationally-invariant kinetic energy and interactions that vanish at large distances. The term “localized” refers to localization in position space. The method can be viewed as the quantum analog of evaporative cooling. We start with an initial state with support over a compact region of a large volume. We then drive the excited quantum states to disperse and measure the remaining portion of the wave function left behind. For the nontrivial examples we consider here, the improvement over other methods is substantial. The only additional resource required is performing the operations in a volume significantly larger than the size of the localized state. These characteristics make the projected cooling algorithm a promising tool for calculations of self-bound systems such as atomic nuclei.http://www.sciencedirect.com/science/article/pii/S0370269320303403 |
| spellingShingle | Dean Lee Joey Bonitati Gabriel Given Caleb Hicks Ning Li Bing-Nan Lu Abudit Rai Avik Sarkar Jacob Watkins Projected cooling algorithm for quantum computation Physics Letters B |
| title | Projected cooling algorithm for quantum computation |
| title_full | Projected cooling algorithm for quantum computation |
| title_fullStr | Projected cooling algorithm for quantum computation |
| title_full_unstemmed | Projected cooling algorithm for quantum computation |
| title_short | Projected cooling algorithm for quantum computation |
| title_sort | projected cooling algorithm for quantum computation |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320303403 |
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