Witnessing eigenstates for quantum simulation of Hamiltonian spectra
The efficient calculation of Hamiltonian spectra, a problem often intractable on classical machines, can find application in many fields, from physics to chemistry. We introduce the concept of an “eigenstate witness” and, through it, provide a new quantum approach that combines variational methods a...
| Main Authors: | , , , , , , , , , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Association for the Advancement of Science
2018
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| _version_ | 1826289786539737088 |
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| author | Santagati, R Wang, J Gentile, AA Paesani, S Wiebe, N McClean, JR Morley-Short, S Shadbolt, PJ Bonneau, D Silverstone, JW Tew, DP Zhou, X O'Brien, JL Thompson, MG |
| author_facet | Santagati, R Wang, J Gentile, AA Paesani, S Wiebe, N McClean, JR Morley-Short, S Shadbolt, PJ Bonneau, D Silverstone, JW Tew, DP Zhou, X O'Brien, JL Thompson, MG |
| author_sort | Santagati, R |
| collection | OXFORD |
| description | The efficient calculation of Hamiltonian spectra, a problem often intractable on classical machines, can find application in many fields, from physics to chemistry. We introduce the concept of an “eigenstate witness” and, through it, provide a new quantum approach that combines variational methods and phase estimation to approximate eigenvalues for both ground and excited states. This protocol is experimentally verified on a programmable silicon quantum photonic chip, a mass-manufacturable platform, which embeds entangled state generation, arbitrary controlled unitary operations, and projective measurements. Both ground and excited states are experimentally found with fidelities >99%, and their eigenvalues are estimated with 32 bits of precision. We also investigate and discuss the scalability of the approach and study its performance through numerical simulations of more complex Hamiltonians. This result shows promising progress toward quantum chemistry on quantum computers. |
| first_indexed | 2024-03-07T02:34:12Z |
| format | Journal article |
| id | oxford-uuid:a83f33e1-f3be-44bf-ac0a-af4e4b8499d8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:34:12Z |
| publishDate | 2018 |
| publisher | American Association for the Advancement of Science |
| record_format | dspace |
| spelling | oxford-uuid:a83f33e1-f3be-44bf-ac0a-af4e4b8499d82022-03-27T03:00:09ZWitnessing eigenstates for quantum simulation of Hamiltonian spectraJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a83f33e1-f3be-44bf-ac0a-af4e4b8499d8EnglishSymplectic ElementsAmerican Association for the Advancement of Science2018Santagati, RWang, JGentile, AAPaesani, SWiebe, NMcClean, JRMorley-Short, SShadbolt, PJBonneau, DSilverstone, JWTew, DPZhou, XO'Brien, JLThompson, MGThe efficient calculation of Hamiltonian spectra, a problem often intractable on classical machines, can find application in many fields, from physics to chemistry. We introduce the concept of an “eigenstate witness” and, through it, provide a new quantum approach that combines variational methods and phase estimation to approximate eigenvalues for both ground and excited states. This protocol is experimentally verified on a programmable silicon quantum photonic chip, a mass-manufacturable platform, which embeds entangled state generation, arbitrary controlled unitary operations, and projective measurements. Both ground and excited states are experimentally found with fidelities >99%, and their eigenvalues are estimated with 32 bits of precision. We also investigate and discuss the scalability of the approach and study its performance through numerical simulations of more complex Hamiltonians. This result shows promising progress toward quantum chemistry on quantum computers. |
| spellingShingle | Santagati, R Wang, J Gentile, AA Paesani, S Wiebe, N McClean, JR Morley-Short, S Shadbolt, PJ Bonneau, D Silverstone, JW Tew, DP Zhou, X O'Brien, JL Thompson, MG Witnessing eigenstates for quantum simulation of Hamiltonian spectra |
| title | Witnessing eigenstates for quantum simulation of Hamiltonian spectra |
| title_full | Witnessing eigenstates for quantum simulation of Hamiltonian spectra |
| title_fullStr | Witnessing eigenstates for quantum simulation of Hamiltonian spectra |
| title_full_unstemmed | Witnessing eigenstates for quantum simulation of Hamiltonian spectra |
| title_short | Witnessing eigenstates for quantum simulation of Hamiltonian spectra |
| title_sort | witnessing eigenstates for quantum simulation of hamiltonian spectra |
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