Joint Cutting for Hybrid Schrödinger-Feynman Simulation of Quantum Circuits

Despite the continuous advancements in size and robustness of real quantum devices, reliable large-scale quantum computers are not yet available. Hence, classical simulation of quantum algorithms remains crucial for testing new methods and estimating quantum advantage. Pushing classical simulation m...

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Published in:2025 62nd ACM/IEEE Design Automation Conference (DAC) pp. 1 - 7
Main Authors: Herzog, Laura S., Burgholzer, Lukas, Ufrecht, Christian, Scherer, Daniel D., Wille, Robert
Format: Conference Proceeding
Language:English
Published: IEEE 22.06.2025
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Abstract Despite the continuous advancements in size and robustness of real quantum devices, reliable large-scale quantum computers are not yet available. Hence, classical simulation of quantum algorithms remains crucial for testing new methods and estimating quantum advantage. Pushing classical simulation methods to their limit is essential, particularly due to their inherent exponential complexity. Besides the established Schrödinger-style full statevector simulation, so-called Hybrid Schrödinger-Feynman (HSF) approaches have shown promise to make simulations more efficient. HSF simulation employs the idea of "cutting" the circuit into smaller parts, reducing their execution times. This, however, comes at the cost of an exponential overhead in the number of cuts. Inspired by the domain of Quantum Circuit Cutting, we propose an HSF simulation method based on the idea of "joint cutting" to significantly reduce the aforementioned overhead. This means that, prior to the cutting procedure, gates are collected into "blocks" and all gates in a block are jointly cut instead of individually. We investigate how the proposed refinement can help decrease simulation times and highlight the remaining challenges. Experimental evaluations show that "joint cutting" can outperform the standard HSF simulation by up to a factor \approx 4000 \times and the Schrödinger-style simulation by a factor \approx 200 \times for suitable instances. The implementation is available at https://github.com/cda-tum/mqt-qsim-joint-cutting.
AbstractList Despite the continuous advancements in size and robustness of real quantum devices, reliable large-scale quantum computers are not yet available. Hence, classical simulation of quantum algorithms remains crucial for testing new methods and estimating quantum advantage. Pushing classical simulation methods to their limit is essential, particularly due to their inherent exponential complexity. Besides the established Schrödinger-style full statevector simulation, so-called Hybrid Schrödinger-Feynman (HSF) approaches have shown promise to make simulations more efficient. HSF simulation employs the idea of "cutting" the circuit into smaller parts, reducing their execution times. This, however, comes at the cost of an exponential overhead in the number of cuts. Inspired by the domain of Quantum Circuit Cutting, we propose an HSF simulation method based on the idea of "joint cutting" to significantly reduce the aforementioned overhead. This means that, prior to the cutting procedure, gates are collected into "blocks" and all gates in a block are jointly cut instead of individually. We investigate how the proposed refinement can help decrease simulation times and highlight the remaining challenges. Experimental evaluations show that "joint cutting" can outperform the standard HSF simulation by up to a factor \approx 4000 \times and the Schrödinger-style simulation by a factor \approx 200 \times for suitable instances. The implementation is available at https://github.com/cda-tum/mqt-qsim-joint-cutting.
Author Burgholzer, Lukas
Ufrecht, Christian
Wille, Robert
Scherer, Daniel D.
Herzog, Laura S.
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  givenname: Laura S.
  surname: Herzog
  fullname: Herzog, Laura S.
  organization: Technical University of Munich,Chair for Design Automation,Germany
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  organization: Technical University of Munich,Chair for Design Automation,Germany
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  givenname: Christian
  surname: Ufrecht
  fullname: Ufrecht, Christian
  organization: Fraunhofer Institute for Integrated Circuits IIS,Nuremberg,Germany
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  givenname: Daniel D.
  surname: Scherer
  fullname: Scherer, Daniel D.
  organization: Fraunhofer Institute for Integrated Circuits IIS,Nuremberg,Germany
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  givenname: Robert
  surname: Wille
  fullname: Wille, Robert
  organization: Technical University of Munich,Chair for Design Automation,Germany
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Snippet Despite the continuous advancements in size and robustness of real quantum devices, reliable large-scale quantum computers are not yet available. Hence,...
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SubjectTerms circuit cutting
classical simulation
Design automation
hybrid Schrödinger-Feynman
joint cutting
Logic gates
Quantum advantage
Quantum algorithm
Quantum circuit
quantum computing
Qubit
Robustness
Shape
Testing
Title Joint Cutting for Hybrid Schrödinger-Feynman Simulation of Quantum Circuits
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