论文标题

使用超导QUBITS上的高管上的完美状态转移及其实施

Perfect state transfer on hypercubes and its implementation using superconducting qubits

论文作者

Singh, Siddhant, Adhikari, Bibhas, Dutta, Supriyo, Zueco, David

论文摘要

我们提出了一项协议,用于在超立方体中的任何一对顶点之间进行完美的状态转移。给定超越立方体中的一对不同的顶点,我们确定了一个亚hypercube,其中包含一对顶点作为反植物顶点。然后引入了一个切换过程,以确定内存增强的超立方体的子杂志,以促进所需的顶点之间的完美状态传递。此外,我们使用具有可调耦合的超导式跨导量器,为我们的交换协议的相当良好状态传输实现提供了一个物理体系结构。通过对图形边缘的Ancilla Qubit耦合器对Qubit的有效耦合的控制,可以实现开关。我们还报告了由于我们的协议的实施错误而导致的国家转移的保真度的错误。

We propose a protocol for perfect state transfer between any pair of vertices in a hypercube. Given a pair of distinct vertices in the hypercube we determine a sub-hypercube that contains the pair of vertices as antipodal vertices. Then a switching process is introduced for determining the sub-hypercube of a memory enhanced hypercube that facilitates perfect state transfer between the desired pair of vertices. Furthermore, we propose a physical architecture for the pretty good state transfer implementation of our switching protocol with fidelity arbitrary close to unity, using superconducting transmon qubits with tunable couplings. The switching is realised by the control over the effective coupling between the qubits resulting from the effect of ancilla qubit couplers for the graph edges. We also report an error bound on the fidelity of state transfer due to faulty implementation of our protocol.

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