Hidden rotation symmetry of the Jordan-Wigner transformation and its application to measurement in quantum computation
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914227760922624 |
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| author | Davis, Grant Freericks, James K. |
| author_facet | Davis, Grant Freericks, James K. |
| contents | Using a global rotation by theta about the z-axis in the spin sector of the Jordan-Wigner transformation rotates Pauli matrices X and Y in the x-y-plane, while it adds a global complex phase to fermionic quantum states that have a fixed number of particles. With the right choice of angles, this relates expectation values of Pauli strings containing products of X and Y to different products, which can be employed to reduce the number of measurements needed when simulating fermionic systems on a quantum computer. Here, we derive this symmetry and show how it can be applied to systems in Physics and Chemistry that involve Hamiltonians with only single-particle (hopping) and two-particle (interaction) terms. We also discuss the consequences of this for finding efficient measurement circuits in variational ground state preparation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24589 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hidden rotation symmetry of the Jordan-Wigner transformation and its application to measurement in quantum computation Davis, Grant Freericks, James K. Quantum Physics Strongly Correlated Electrons Using a global rotation by theta about the z-axis in the spin sector of the Jordan-Wigner transformation rotates Pauli matrices X and Y in the x-y-plane, while it adds a global complex phase to fermionic quantum states that have a fixed number of particles. With the right choice of angles, this relates expectation values of Pauli strings containing products of X and Y to different products, which can be employed to reduce the number of measurements needed when simulating fermionic systems on a quantum computer. Here, we derive this symmetry and show how it can be applied to systems in Physics and Chemistry that involve Hamiltonians with only single-particle (hopping) and two-particle (interaction) terms. We also discuss the consequences of this for finding efficient measurement circuits in variational ground state preparation. |
| title | Hidden rotation symmetry of the Jordan-Wigner transformation and its application to measurement in quantum computation |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.24589 |