A qudit ($d$-level quantum systems) has a large Hilbert space and thus can beused to achieve many quantum information and communication tasks. Here, wepropose a method to transfer arbitrary $d$-dimensional quantum states (known orunknown) between two superconducting qudits coupled to a single cavity. Thestate transfer can be performed fast because of employing resonant interactionsonly. In addition, quantum states can be deterministically transferred withoutmeasurement. Numerical simulations show that high-fidelity transfer of quantumstates between two superconducting transmon qudits ($d\leq5$) is feasible withcurrent circuit QED technology. This proposal is quite general and can beapplied to accomplish the same task with various superconducting qudits,quantum dots, or natural atoms coupled to a cavity or resonator.
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机译：Qudit（$ d $级量子系统）具有很大的希尔伯特空间，因此可用于完成许多量子信息和通信任务。在此，我们提出了一种在耦合到单个腔的两个超导量子之间传递任意的d维量子态（已知或未知）的方法。由于仅采用共振相互作用，因此可以快速执行状态转移。此外，无需确定即可确定性地转移量子态。数值模拟表明，采用电流电路QED技术，在两个超导跨子态（$ d \ leq5 $）之间进行高保真的量子态转移是可行的。该建议非常笼统，可用于与耦合到空腔或谐振器的各种超导量子，量子点或自然原子一起完成相同的任务。
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