Deep Circuit Compression for Quantum Dynamics via Tensor Networks
Dynamic quantum simulation is a leading application for achieving quantum advantage. However, high circuit depths remain a limiting factor on near-term quantum hardware. We present a compilation algorithm based on Matrix Product Operators for generating compressed circuits enabling real-time simulat...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-07-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-07-09-1789/pdf/ |
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| _version_ | 1849320577376976896 |
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| author | Joe Gibbs Lukasz Cincio |
| author_facet | Joe Gibbs Lukasz Cincio |
| author_sort | Joe Gibbs |
| collection | DOAJ |
| description | Dynamic quantum simulation is a leading application for achieving quantum advantage. However, high circuit depths remain a limiting factor on near-term quantum hardware. We present a compilation algorithm based on Matrix Product Operators for generating compressed circuits enabling real-time simulation on digital quantum computers, that for a given depth are more accurate than all Trotterizations of the same depth. By the efficient use of environment tensors, the algorithm is scalable in depth far beyond prior work, and we present circuit compilations of up to 64 layers of $SU(4)$ gates. Surpassing only 1D circuits, our approach can flexibly target a particular quasi-2D gate topology. We demonstrate this by compiling a 52-qubit 2D Transverse-Field Ising propagator onto the IBM Heavy-Hex topology. For all circuit depths and widths tested, we produce circuits with smaller errors than all equivalent depth Trotter unitaries, corresponding to reductions in error by up to 4 orders of magnitude and circuit depth compressions with a factor of over 6. |
| format | Article |
| id | doaj-art-7bf9becd2b2346d1b812feddfc3370cd |
| institution | Kabale University |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-7bf9becd2b2346d1b812feddfc3370cd2025-08-20T03:50:01ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-07-019178910.22331/q-2025-07-09-178910.22331/q-2025-07-09-1789Deep Circuit Compression for Quantum Dynamics via Tensor NetworksJoe GibbsLukasz CincioDynamic quantum simulation is a leading application for achieving quantum advantage. However, high circuit depths remain a limiting factor on near-term quantum hardware. We present a compilation algorithm based on Matrix Product Operators for generating compressed circuits enabling real-time simulation on digital quantum computers, that for a given depth are more accurate than all Trotterizations of the same depth. By the efficient use of environment tensors, the algorithm is scalable in depth far beyond prior work, and we present circuit compilations of up to 64 layers of $SU(4)$ gates. Surpassing only 1D circuits, our approach can flexibly target a particular quasi-2D gate topology. We demonstrate this by compiling a 52-qubit 2D Transverse-Field Ising propagator onto the IBM Heavy-Hex topology. For all circuit depths and widths tested, we produce circuits with smaller errors than all equivalent depth Trotter unitaries, corresponding to reductions in error by up to 4 orders of magnitude and circuit depth compressions with a factor of over 6.https://quantum-journal.org/papers/q-2025-07-09-1789/pdf/ |
| spellingShingle | Joe Gibbs Lukasz Cincio Deep Circuit Compression for Quantum Dynamics via Tensor Networks Quantum |
| title | Deep Circuit Compression for Quantum Dynamics via Tensor Networks |
| title_full | Deep Circuit Compression for Quantum Dynamics via Tensor Networks |
| title_fullStr | Deep Circuit Compression for Quantum Dynamics via Tensor Networks |
| title_full_unstemmed | Deep Circuit Compression for Quantum Dynamics via Tensor Networks |
| title_short | Deep Circuit Compression for Quantum Dynamics via Tensor Networks |
| title_sort | deep circuit compression for quantum dynamics via tensor networks |
| url | https://quantum-journal.org/papers/q-2025-07-09-1789/pdf/ |
| work_keys_str_mv | AT joegibbs deepcircuitcompressionforquantumdynamicsviatensornetworks AT lukaszcincio deepcircuitcompressionforquantumdynamicsviatensornetworks |