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Researchers have demonstrated that a hybrid quantum-classical algorithm using D-Wave's Advantage 4.1 can match the performance of top classical solvers when addressing NP-hard problems in quantum error correction. By reformulating the minimum distance calculation as a QUBO problem, this work provides a practical pathway for designing more efficient stabilizer codes essential for scalable quantum computers. This advancement highlights the immediate utility of current quantum annealers in optimizing critical components of future fault-tolerant systems.

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Hybrid quantum-classical algorithm matches best code solvers

Quantum ZeitgeistOctober 13, 20266 min read

Researchers used quantum annealing to solve the minimum distance problem for quantum error-correcting codes, reformulating it as a Quadratic Unconstrained Binary Optimization (QUBO) problem.

Refat Ismail, Ashish Kakkar, and Anatoly Dymarsky of the University of Kentucky have devised a new method to assess the quality of quantum error-correcting codes, a critical component for building practical quantum computers. The researchers tackled the notoriously difficult, NP-hard problem of determining a code’s minimum distance, a measure of its ability to preserve quantum information, by reformulating it as a Quadratic Unconstrained Binary Optimization (QUBO) problem. Their approach, tested with the D-Wave Advantage 4.1 quantum annealer and a hybrid quantum-classical algorithm called Qbsolv, achieved performance on par with the best available classical algorithms solving QUBO. Here we propose to harness the power of contemporary quantum platforms to address this question, and in this way help design…

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