论文标题
在量子计算机上的迪克州实际准备
On Actual Preparation of Dicke State on a Quantum Computer
论文作者
论文摘要
在给定体系结构中实现量子算法所需的CNOT和单量子门的确切数量是量子计算的核心问题之一。在这项工作中,我们研究了使用Dicke国家准备的案例研究对部分定义的统一转换进行更好构建的简化实现的重要性。 dicke状态$(\ left | d^n_k \ right>)$是一类重要的纠缠状态类,在许多量子信息的分支中使用。在这方面,与现有文献相比,我们提供了最有效的确定性Dicke状态制备电路。我们进一步观察到,我们的改进还减少了电路的建筑限制。我们实施了准备$ \ left |的电路IBM QX服务的“ IBMQX2”计算机上的D^4_2 \ right> $,并且观察到与现有电路描述相比,由于系统噪声引起的误差较小。我们通过描述通用$ \ left |的CNOT图来结束。 d^n_k \ right> $制备电路,并分析不同的方式来分配电路中的CNOT门及其对诱导误差的影响。
The exact number of CNOT and single qubit gates needed to implement a Quantum Algorithm in a given architecture is one of the central problems of Quantum Computation. In this work we study the importance of concise realizations of Partially defined Unitary Transformations for better circuit construction using the case study of Dicke State Preparation. The Dicke States $(\left|D^n_k \right>)$ are an important class of entangled states with uses in many branches of Quantum Information. In this regard we provide the most efficient Deterministic Dicke State Preparation Circuit in terms of CNOT and single qubit gate counts in comparison to existing literature. We further observe that our improvements also reduce architectural constraints of the circuits. We implement the circuit for preparing $\left| D^4_2 \right>$ on the "ibmqx2" machine of the IBM QX service and observe that the error induced due to noise in the system is lesser in comparison to the existing circuit descriptions. We conclude by describing the CNOT map of the generic $\left| D^n_k \right>$ preparation circuit and analyze different ways of distributing the CNOT gates in the circuit and its affect on the induced error.