标题： 一种构建准随机尖峰量子电路的方法 显示英文标题

标题： A Method for Constructing Quasi-Random Peaked Quantum Circuits

摘要： 一种算法被提出用于构建准随机“尖峰”量子电路，即电路的最终量子比特状态在特定计算基态上表现出高概率集中。 这些电路由随机门按照砖墙结构排列组成。 虽然电路中间的多量子比特状态可能表现出显著的纠缠，但最终状态以高概率是一个预定的纯位串。 引入了一种技术来隐藏量子电路结构中的最终位串。 该算法允许对最终尖峰状态的概率进行精确控制。 该算法的一个修改版本能够构建双峰或多峰量子电路。 评估了矩阵乘积态（MPS）方法用于模拟此类电路；它在浅层尖峰电路中表现有效，但对于更深的电路没有显著优势。 显示英文摘要

摘要： An algorithm is proposed for constructing quasi-random "peaked" quantum circuits, i.e., circuits whose final qubit state exhibits a high probability concentration on a specific computational basis state. These circuits consist of random gates arranged in a brick-wall architecture. While the multiqubit state in the middle of the circuit can exhibit significant entanglement, the final state is, with high probability, a predetermined pure bitstring. A technique is introduced to obscure the final bitstring in the structure of the quantum circuit. The algorithm allows precise control over the probability of the final peaked state. A modified version of the algorithm enables the construction of double- or multi-peaked quantum circuits. The matrix product state (MPS) method is evaluated for simulating such circuits; it performs effectively for shallow peaked circuits but offers no significant advantage for deeper ones.