Quantum algorithm for a set of quantum 2SAT problems

• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: SPECIAL TOPIC- Quantum computation and quantum simulation
• 页码范围: 62-67
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/1674-1056/abd741

摘要

We present a quantum adiabatic algorithm for a set of quantum 2-satisfiability(Q2SAT)problem,which is a general-ization of 2-satisfiability(2SAT)problem.For a Q2SAT problem,we construct the Hamiltonian which is similar to that of a Heisenberg chain.All the solutions of the given Q2SAT problem span the subspace of the degenerate ground states.The Hamiltonian is adiabatically evolved so that the system stays in the degenerate subspace.Our numerical results suggest that the time complexity of our algorithm is O(n3,9)for yielding non-trivial solutions for problems with the number of clauses m=dn(n-1)/2(d ≤ 0.1).We discuss the advantages of our algorithm over the known quantum and classical algorithms.