Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count
Quantum gate synthesis based on numerical optimization produces efficient circuits for NISQ (Noisy Intermediate-Scale Quantum) computing by minimizing the num- ber of two-qubit gates. The requirements for fault tolerant quantum computing are significantly different in that some single qubit gates re...
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| Other Authors: | |
| Format: | Thesis |
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Massachusetts Institute of Technology
2023
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| Online Access: | https://hdl.handle.net/1721.1/150214 |
| _version_ | 1826194922164715520 |
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| author | Davis, Marc Grau |
| author2 | Englund, Dirk Robert |
| author_facet | Englund, Dirk Robert Davis, Marc Grau |
| author_sort | Davis, Marc Grau |
| collection | MIT |
| description | Quantum gate synthesis based on numerical optimization produces efficient circuits for NISQ (Noisy Intermediate-Scale Quantum) computing by minimizing the num- ber of two-qubit gates. The requirements for fault tolerant quantum computing are significantly different in that some single qubit gates require magic state distillation and gate teleportation, which are resource intensive. Here, We propose an approach to adapt numerical optimization to error corrected quantum circuits by using sequen- tial two-pass multistart numerical optimizaton to reduce the number of 𝑅z gates that must be approximated with Clifford+𝑇 circuits. This technique allows NISQ synthesis based on numerical optimization to be applied to fault-tolerant circuits as well. |
| first_indexed | 2024-09-23T10:04:15Z |
| format | Thesis |
| id | mit-1721.1/150214 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:04:15Z |
| publishDate | 2023 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1502142023-04-01T03:49:33Z Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count Davis, Marc Grau Englund, Dirk Robert Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Quantum gate synthesis based on numerical optimization produces efficient circuits for NISQ (Noisy Intermediate-Scale Quantum) computing by minimizing the num- ber of two-qubit gates. The requirements for fault tolerant quantum computing are significantly different in that some single qubit gates require magic state distillation and gate teleportation, which are resource intensive. Here, We propose an approach to adapt numerical optimization to error corrected quantum circuits by using sequen- tial two-pass multistart numerical optimizaton to reduce the number of 𝑅z gates that must be approximated with Clifford+𝑇 circuits. This technique allows NISQ synthesis based on numerical optimization to be applied to fault-tolerant circuits as well. S.M. 2023-03-31T14:40:06Z 2023-03-31T14:40:06Z 2023-02 2023-02-28T14:36:08.761Z Thesis https://hdl.handle.net/1721.1/150214 In Copyright - Educational Use Permitted Copyright MIT http://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology |
| spellingShingle | Davis, Marc Grau Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count |
| title | Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count |
| title_full | Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count |
| title_fullStr | Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count |
| title_full_unstemmed | Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count |
| title_short | Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count |
| title_sort | numerical synthesis of arbitrary multi qubit unitaries with low 𝑇 count |
| url | https://hdl.handle.net/1721.1/150214 |
| work_keys_str_mv | AT davismarcgrau numericalsynthesisofarbitrarymultiqubitunitarieswithlowtcount |