Distributed quantum-classical hybrid algorithm for solving K-SAT problem

• URL: http://arxiv.org/abs/2604.14057v1
• Date: Wed, 15 Apr 2026 16:36:42 GMT
• Title: Distributed quantum-classical hybrid algorithm for solving K-SAT problem
• Abstract summary: Recently, Dunjko et al.(PRL) proposed an algorithm for accelerating the solution of 3-satisfiability problems using a small-scale quantum computer.<n>In this paper, we design a distributed quantum-classical hybrid algorithm for solving K-satisfiability problems.
• Score: 2.909558920415837
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently, Dunjko et al.(PRL, 2018) proposed an algorithm for accelerating the solution of 3-satisfiability problems using a small-scale quantum computer. In this paper, we design a distributed quantum-classical hybrid algorithm for solving K-satisfiability problems. Under resource-constrained conditions, our algorithm achieves a significant acceleration in the core term of the exponential time complexity. The proposed algorithm is a generalization of the algorithm by Dunjko et al. Compared with their algorithm, our algorithm requires a smaller number of qubits. More importantly, the proposed algorithm does not rely on any quantum communication.

Related papers

• A Binary Optimisation Algorithm for Near-Term Photonic Quantum Processors [32.80760571694025]
  We propose a new algorithm for binary optimisation, designed for near-term photonic quantum processors.<n>This variational algorithm uses samples from a quantum optical circuit, which are post-processed using trainable classical bit-flip probabilities.<n>A gradient-based training loop finds progressively better solutions until convergence.
  arXiv  Detail & Related papers  (2025-10-09T14:30:50Z)
• An effcient variational quantum Korkin-Zolotarev algorithm for solving shortest vector problems [7.839882853089659]
  We propose a variational quantum Korkin-Zolotarev (VQKZ) algorithm, which significantly reduces the qubit requirement for solving the shortest vector problem (SVP)<n>By transforming the original SVP into a series of subproblems on projected sublattices, the proposed VQKZ algorithm enables near-term quantum devices to solve SVP instances with lattice dimensions 61.39% larger than those solvable by previous methods.
  arXiv  Detail & Related papers  (2025-05-13T09:32:21Z)
• A quantum speedup algorithm for TSP based on quantum dynamic programming with very few qubits [0.0]
  We propose a quantum algorithm to generate the uniform superposition state of all N-length Hamiltonian cycles as an initial state within gate complexity.<n>Compared to some algorithms that theoretically have lower query complexities but lack practical implementation solutions, our algorithm has feasible circuit implementation.
  arXiv  Detail & Related papers  (2025-02-12T23:58:25Z)
• Quantum algorithms for Hopcroft's problem [45.45456673484445]
  We study quantum algorithms for Hopcroft's problem which is a fundamental problem in computational geometry. The classical complexity of this problem is well-studied, with the best known algorithm running in $O(n4/3)$ time. Our results are two different quantum algorithms with time complexity $widetilde O(n5/6)$.
  arXiv  Detail & Related papers  (2024-05-02T10:29:06Z)
• Generalized quantum Arimoto-Blahut algorithm and its application to quantum information bottleneck [55.22418739014892]
  We generalize the quantum Arimoto-Blahut algorithm by Ramakrishnan et al. We apply our algorithm to the quantum information bottleneck with three quantum systems. Our numerical analysis shows that our algorithm is better than their algorithm.
  arXiv  Detail & Related papers  (2023-11-19T00:06:11Z)
• Iterative Quantum Algorithms for Maximum Independent Set: A Tale of Low-Depth Quantum Algorithms [0.0]
  We study a new class of hybrid approaches to quantum optimization, termed Iterative Maximum Quantum Algorithms. We show that for QAOA with depth $p=1$, this algorithm performs exactly the same operations and selections as the classical greedy algorithm for MIS.
  arXiv  Detail & Related papers  (2023-09-22T18:00:03Z)
• Polynomial-time Solver of Tridiagonal QUBO, QUDO and Tensor QUDO problems with Tensor Networks [41.94295877935867]
  We present a quantum-inspired tensor network algorithm for solving tridiagonal Quadratic Unconstrained Binary Optimization problems.<n>We also solve the more general quadratic unconstrained discrete optimization problems with one-neighbor interactions in a lineal chain.
  arXiv  Detail & Related papers  (2023-09-19T10:45:15Z)
• Quantum Worst-Case to Average-Case Reductions for All Linear Problems [66.65497337069792]
  We study the problem of designing worst-case to average-case reductions for quantum algorithms. We provide an explicit and efficient transformation of quantum algorithms that are only correct on a small fraction of their inputs into ones that are correct on all inputs.
  arXiv  Detail & Related papers  (2022-12-06T22:01:49Z)
• Quantum algorithm for stochastic optimal stopping problems with applications in finance [60.54699116238087]
  The famous least squares Monte Carlo (LSM) algorithm combines linear least square regression with Monte Carlo simulation to approximately solve problems in optimal stopping theory. We propose a quantum LSM based on quantum access to a process, on quantum circuits for computing the optimal stopping times, and on quantum techniques for Monte Carlo.
  arXiv  Detail & Related papers  (2021-11-30T12:21:41Z)
• Implementable Hybrid Quantum Ant Colony Optimization Algorithm [0.0]
  We propose a new hybrid quantum algorithm to produce approximate solutions for NP-hard problems. We develop an improved algorithm that can be truly implemented on near-term quantum computers. The benchmarks made by simulating the noiseless quantum circuit and the experiments made on IBM quantum computers show the validity of the algorithm.
  arXiv  Detail & Related papers  (2021-07-08T13:50:51Z)
• Space-efficient binary optimization for variational computing [68.8204255655161]
  We show that it is possible to greatly reduce the number of qubits needed for the Traveling Salesman Problem. We also propose encoding schemes which smoothly interpolate between the qubit-efficient and the circuit depth-efficient models.
  arXiv  Detail & Related papers  (2020-09-15T18:17:27Z)
• Number Partitioning with Grover's Algorithm in Central Spin Systems [0.0]
  We propose a Grover search for solutions to a class of NP-complete decision problems known as subset sum problems. Each problem instance is encoded in the couplings of a set of qubits to a central spin or boson, which enables a realization of the oracle without knowledge of the solution.
  arXiv  Detail & Related papers  (2020-09-11T17:31:39Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.