Optimised Fermion-Qubit Encodings for Quantum Simulation with Reduced Transpiled Circuit Depth
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918474716020736 |
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| author | de la Bastida, Michael Williams Bickley, Thomas M. Coveney, Peter V. |
| author_facet | de la Bastida, Michael Williams Bickley, Thomas M. Coveney, Peter V. |
| contents | Simulation of fermionic Hamiltonians with gate-based quantum computers requires the selection of an encoding from fermionic operators to quantum gates, the most widely used being the Jordan-Wigner transform. Many alternative encodings exist, with quantum circuits and simulation results being sensitive to choice of encoding, device connectivity and Hamiltonian characteristics. Non-stochastic optimisation of the ternary tree class of encodings to date has targeted either the device or Hamiltonian. We develop a deterministic method which optimises ternary tree encodings without changing the underlying tree structure. This enables reduction in Pauli-weight without ancillae or additional swap-gate overhead. We demonstrate this method for a variety of encodings, including those which are derived from the qubit connectivity graph of a quantum computer. Numerical results for a suite of standard encoding methods applied to water in the STO-3G basis indicate that our method reduces qDRIFT circuit depths on average by 24.7% and 26.5% for untranspiled and transpiled circuits respectively. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_13580 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimised Fermion-Qubit Encodings for Quantum Simulation with Reduced Transpiled Circuit Depth de la Bastida, Michael Williams Bickley, Thomas M. Coveney, Peter V. Quantum Physics Emerging Technologies Simulation of fermionic Hamiltonians with gate-based quantum computers requires the selection of an encoding from fermionic operators to quantum gates, the most widely used being the Jordan-Wigner transform. Many alternative encodings exist, with quantum circuits and simulation results being sensitive to choice of encoding, device connectivity and Hamiltonian characteristics. Non-stochastic optimisation of the ternary tree class of encodings to date has targeted either the device or Hamiltonian. We develop a deterministic method which optimises ternary tree encodings without changing the underlying tree structure. This enables reduction in Pauli-weight without ancillae or additional swap-gate overhead. We demonstrate this method for a variety of encodings, including those which are derived from the qubit connectivity graph of a quantum computer. Numerical results for a suite of standard encoding methods applied to water in the STO-3G basis indicate that our method reduces qDRIFT circuit depths on average by 24.7% and 26.5% for untranspiled and transpiled circuits respectively. |
| title | Optimised Fermion-Qubit Encodings for Quantum Simulation with Reduced Transpiled Circuit Depth |
| topic | Quantum Physics Emerging Technologies |
| url | https://arxiv.org/abs/2512.13580 |