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Multivariate Decoded Quantum Interferometry for Weighted Optimization
Kaifeng Bu, Weichen Gu, Xiang Li
Decoded Quantum Interferometry (DQI) is a recently introduced quantum algorithm that reduces discrete optimization to decoding with potential advantages over the best-known polynom…
Hamiltonian Decoded Quantum Interferometry for General Pauli Hamiltonians
Kaifeng Bu, Weichen Gu, Xiang Li
In this work, we study the Hamiltonian Decoded Quantum Interferometry (HDQI) for the general Hamiltonians on an -qubit system, where the coefficients $c_i\in \m…
Decoded Quantum Interferometry Under Noise
Kaifeng Bu, Weichen Gu, Dax Enshan Koh +1
Decoded Quantum Interferometry (DQI) is a recently proposed quantum optimization algorithm that exploits sparsity in the Fourier spectrum of objective functions, with the potential…
Quantum locally recoverable code with intersecting recovery sets
Kaifeng Bu, Weichen Gu, Xiang Li
We introduce the concept of quantum locally recoverable codes (qLRCs) with intersecting recovery sets. We derive a singleton-like bound for these codes by leveraging the additional…
Resource Efficient Boolean Function Solver on Quantum Computer
Xiang Li, Hanxiang Shen, Weiguo Gao +1
Nonlinear boolean equation systems play an important role in a wide range of applications. Grover's algorithm is one of the best-known quantum search algorithms in solving the nonl…