A quantum decoder for LDPC codes with coherent errors outperforms belief propagation on average-case D-regular max-k-XORSAT for several k and D, matching an enhanced version of Prange's algorithm.
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QAOA on qudit-encoded integer graph problems outperforms the Frieze-Jerrum SDP for Max-k-Cut at p≤4 in regimes k=3 d≤10 and k=4 d≤40, while a new degree-of-saturation heuristic beats both on GSet but may be overtaken by QAOA at p≤20.
Co-optimization of flexible Iceberg error-detection gadgets with QAOA via tree search improves success probability and post-selection on Quantinuum H2-1 hardware up to 34 algorithmic qubits.
Absence of quantum advantage for log-depth QAOA on the binary paint shop problem implies a classical mean-field algorithm achieving a paint-swap ratio of approximately 0.2799, outperforming known heuristics and quantum methods.
The paper identifies four key hurdles in the transition from NISQ to FASQ quantum computers and argues that targeting them will accelerate progress toward useful quantum advantage.
A review describing the Decoded Quantum Interferometry algorithm for quantum speedups in max-LINSAT optimization, with claimed superpolynomial advantage in the OPI problem.
citing papers explorer
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Optimization Using Locally-Quantum Decoders
A quantum decoder for LDPC codes with coherent errors outperforms belief propagation on average-case D-regular max-k-XORSAT for several k and D, matching an enhanced version of Prange's algorithm.
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Quantum Approximate Optimization of Integer Graph Problems and Surpassing Semidefinite Programming for Max-k-Cut
QAOA on qudit-encoded integer graph problems outperforms the Frieze-Jerrum SDP for Max-k-Cut at p≤4 in regimes k=3 d≤10 and k=4 d≤40, while a new degree-of-saturation heuristic beats both on GSet but may be overtaken by QAOA at p≤20.
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Iceberg Beyond the Tip: Co-Compilation of a Quantum Error Detection Code and a Quantum Algorithm
Co-optimization of flexible Iceberg error-detection gadgets with QAOA via tree search improves success probability and post-selection on Quantinuum H2-1 hardware up to 34 algorithmic qubits.
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No quantum advantage implies improved bounds and classical algorithms for the binary paint shop problem
Absence of quantum advantage for log-depth QAOA on the binary paint shop problem implies a classical mean-field algorithm achieving a paint-swap ratio of approximately 0.2799, outperforming known heuristics and quantum methods.
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Mind the gaps: The fraught road to quantum advantage
The paper identifies four key hurdles in the transition from NISQ to FASQ quantum computers and argues that targeting them will accelerate progress toward useful quantum advantage.
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Quantum Decoding Algorithms: Quantum Speedups in Optimization
A review describing the Decoded Quantum Interferometry algorithm for quantum speedups in max-LINSAT optimization, with claimed superpolynomial advantage in the OPI problem.
- Spectral Gap Informed Ramp QAOA