Simulating Quantum Field Theories on Gate-Based Quantum Computers
We implement a simulation of a quantum field theory in 1+1 space–time dimensions on a gate-based quantum computer using the light-front formulation of the theory. The nonperturbative simulation of the Yukawa model field theory is verified on IBM's simulator and is also demonstr...
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IEEE
2024-01-01
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| Series: | IEEE Transactions on Quantum Engineering |
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| Online Access: | https://ieeexplore.ieee.org/document/10491310/ |
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| author | Gayathree M. Vinod Anil Shaji |
| author_facet | Gayathree M. Vinod Anil Shaji |
| author_sort | Gayathree M. Vinod |
| collection | DOAJ |
| description | We implement a simulation of a quantum field theory in 1+1 space–time dimensions on a gate-based quantum computer using the light-front formulation of the theory. The nonperturbative simulation of the Yukawa model field theory is verified on IBM's simulator and is also demonstrated on a small-scale IBM circuit-based quantum processor, on the cloud, using IBM Qiskit. The light-front formulation allows for controlling the resource requirement and complexity of the computation with commensurate tradeoffs in accuracy and detail by modulating a single parameter, namely, the harmonic resolution. Qubit operators for the Bosonic excitations were also created and were used along with the Fermionic ones already available, to simulate the theory involving all of these particles. With the restriction on the number of logical qubits available on the existent gate-based noisy intermediate-scale quantum (NISQ) devices, the Trotterization approximation is also used. We show that experimentally relevant quantities, such as cross sections for various processes and survival probabilities of various states, can be computed. We also explore the inaccuracies introduced by the bounds on achievable harmonic resolution and Trotter steps placed by the limited number of qubits and circuit depth supported by present-day NISQ devices. |
| format | Article |
| id | doaj-art-d5c83f6ebf9c44d580f9f807a889a7ec |
| institution | Kabale University |
| issn | 2689-1808 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IEEE |
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| series | IEEE Transactions on Quantum Engineering |
| spelling | doaj-art-d5c83f6ebf9c44d580f9f807a889a7ec2025-01-28T00:02:24ZengIEEEIEEE Transactions on Quantum Engineering2689-18082024-01-01511410.1109/TQE.2024.338537210491310Simulating Quantum Field Theories on Gate-Based Quantum ComputersGayathree M. Vinod0https://orcid.org/0000-0003-1833-7181Anil Shaji1https://orcid.org/0000-0002-1574-8885School of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram, Vithura, IndiaSchool of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram, Vithura, IndiaWe implement a simulation of a quantum field theory in 1+1 space–time dimensions on a gate-based quantum computer using the light-front formulation of the theory. The nonperturbative simulation of the Yukawa model field theory is verified on IBM's simulator and is also demonstrated on a small-scale IBM circuit-based quantum processor, on the cloud, using IBM Qiskit. The light-front formulation allows for controlling the resource requirement and complexity of the computation with commensurate tradeoffs in accuracy and detail by modulating a single parameter, namely, the harmonic resolution. Qubit operators for the Bosonic excitations were also created and were used along with the Fermionic ones already available, to simulate the theory involving all of these particles. With the restriction on the number of logical qubits available on the existent gate-based noisy intermediate-scale quantum (NISQ) devices, the Trotterization approximation is also used. We show that experimentally relevant quantities, such as cross sections for various processes and survival probabilities of various states, can be computed. We also explore the inaccuracies introduced by the bounds on achievable harmonic resolution and Trotter steps placed by the limited number of qubits and circuit depth supported by present-day NISQ devices.https://ieeexplore.ieee.org/document/10491310/Bosonic qubit operatorscircuit-based quantum computersdigital quantum simulationlight-front quantizationnoisy intermediate-scale quantum (NISQ) processorsquantum field theory |
| spellingShingle | Gayathree M. Vinod Anil Shaji Simulating Quantum Field Theories on Gate-Based Quantum Computers IEEE Transactions on Quantum Engineering Bosonic qubit operators circuit-based quantum computers digital quantum simulation light-front quantization noisy intermediate-scale quantum (NISQ) processors quantum field theory |
| title | Simulating Quantum Field Theories on Gate-Based Quantum Computers |
| title_full | Simulating Quantum Field Theories on Gate-Based Quantum Computers |
| title_fullStr | Simulating Quantum Field Theories on Gate-Based Quantum Computers |
| title_full_unstemmed | Simulating Quantum Field Theories on Gate-Based Quantum Computers |
| title_short | Simulating Quantum Field Theories on Gate-Based Quantum Computers |
| title_sort | simulating quantum field theories on gate based quantum computers |
| topic | Bosonic qubit operators circuit-based quantum computers digital quantum simulation light-front quantization noisy intermediate-scale quantum (NISQ) processors quantum field theory |
| url | https://ieeexplore.ieee.org/document/10491310/ |
| work_keys_str_mv | AT gayathreemvinod simulatingquantumfieldtheoriesongatebasedquantumcomputers AT anilshaji simulatingquantumfieldtheoriesongatebasedquantumcomputers |