Quantum compilation toolkit for Rydberg atom arrays with implications for problem hardness and quantum speedups
We propose and implement a comprehensive quantum compilation toolkit for solving the maximum independent set (MIS) problem on quantum hardware based on Rydberg atom arrays. Our end-to-end pipeline involves three core components to efficiently map generic MIS instances onto Rydberg arrays with unit-d...
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| Main Authors: | , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/7dkh-crjj |
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| author | Martin J. A. Schuetz Ruben S. Andrist Grant Salton Romina Yalovetzky Rudy Raymond Yue Sun Atithi Acharya Shouvanik Chakrabarti Marco Pistoia Helmut G. Katzgraber |
| author_facet | Martin J. A. Schuetz Ruben S. Andrist Grant Salton Romina Yalovetzky Rudy Raymond Yue Sun Atithi Acharya Shouvanik Chakrabarti Marco Pistoia Helmut G. Katzgraber |
| author_sort | Martin J. A. Schuetz |
| collection | DOAJ |
| description | We propose and implement a comprehensive quantum compilation toolkit for solving the maximum independent set (MIS) problem on quantum hardware based on Rydberg atom arrays. Our end-to-end pipeline involves three core components to efficiently map generic MIS instances onto Rydberg arrays with unit-disk connectivity, with modules for graph reduction, hardware compatibility checks, and graph embedding. The first module (reducer) provides hardware-agnostic and deterministic reduction logic that iteratively reduces the problem size via lazy clique removals. We find that real-world networks can typically be reduced by orders of magnitude on subsecond timescales, thus significantly cutting down the eventual load for quantum devices. Moreover, we show that reduction techniques may be an important tool in the ongoing search for potential quantum speedups, given their ability to identify hard problem instances. In particular, for Rydberg-native MIS instances, we observe signatures of an easy-hard-easy transition and quantify a critical degree indicating the onset of a hard problem regime. The second module (compatibility checker) implements a hardware compatibility checker that quickly determines whether a given input graph may be compatible with the restrictions imposed by Rydberg quantum hardware. The third module (embedder) describes hardware-efficient graph embedding routines to generate (approximate) encodings with controllable overhead and optimized ancilla placements. We exemplify our pipeline with experiments run on the QuEra Aquila device available on Amazon Braket. In aggregate, our work provides a set of tools that extends the class of problems that can be tackled with near-term Rydberg atom arrays. |
| format | Article |
| id | doaj-art-cc47b17f7f7e43538a207d733bd2bd28 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-cc47b17f7f7e43538a207d733bd2bd282025-08-20T03:58:07ZengAmerican Physical SocietyPhysical Review Research2643-15642025-08-017303310710.1103/7dkh-crjjQuantum compilation toolkit for Rydberg atom arrays with implications for problem hardness and quantum speedupsMartin J. A. SchuetzRuben S. AndristGrant SaltonRomina YalovetzkyRudy RaymondYue SunAtithi AcharyaShouvanik ChakrabartiMarco PistoiaHelmut G. KatzgraberWe propose and implement a comprehensive quantum compilation toolkit for solving the maximum independent set (MIS) problem on quantum hardware based on Rydberg atom arrays. Our end-to-end pipeline involves three core components to efficiently map generic MIS instances onto Rydberg arrays with unit-disk connectivity, with modules for graph reduction, hardware compatibility checks, and graph embedding. The first module (reducer) provides hardware-agnostic and deterministic reduction logic that iteratively reduces the problem size via lazy clique removals. We find that real-world networks can typically be reduced by orders of magnitude on subsecond timescales, thus significantly cutting down the eventual load for quantum devices. Moreover, we show that reduction techniques may be an important tool in the ongoing search for potential quantum speedups, given their ability to identify hard problem instances. In particular, for Rydberg-native MIS instances, we observe signatures of an easy-hard-easy transition and quantify a critical degree indicating the onset of a hard problem regime. The second module (compatibility checker) implements a hardware compatibility checker that quickly determines whether a given input graph may be compatible with the restrictions imposed by Rydberg quantum hardware. The third module (embedder) describes hardware-efficient graph embedding routines to generate (approximate) encodings with controllable overhead and optimized ancilla placements. We exemplify our pipeline with experiments run on the QuEra Aquila device available on Amazon Braket. In aggregate, our work provides a set of tools that extends the class of problems that can be tackled with near-term Rydberg atom arrays.http://doi.org/10.1103/7dkh-crjj |
| spellingShingle | Martin J. A. Schuetz Ruben S. Andrist Grant Salton Romina Yalovetzky Rudy Raymond Yue Sun Atithi Acharya Shouvanik Chakrabarti Marco Pistoia Helmut G. Katzgraber Quantum compilation toolkit for Rydberg atom arrays with implications for problem hardness and quantum speedups Physical Review Research |
| title | Quantum compilation toolkit for Rydberg atom arrays with implications for problem hardness and quantum speedups |
| title_full | Quantum compilation toolkit for Rydberg atom arrays with implications for problem hardness and quantum speedups |
| title_fullStr | Quantum compilation toolkit for Rydberg atom arrays with implications for problem hardness and quantum speedups |
| title_full_unstemmed | Quantum compilation toolkit for Rydberg atom arrays with implications for problem hardness and quantum speedups |
| title_short | Quantum compilation toolkit for Rydberg atom arrays with implications for problem hardness and quantum speedups |
| title_sort | quantum compilation toolkit for rydberg atom arrays with implications for problem hardness and quantum speedups |
| url | http://doi.org/10.1103/7dkh-crjj |
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