Broadcast of a restricted set of qubit and qutrit states
Broadcast of a restricted set of qubit and qutrit states
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DOI：
10.1103/physreva.105.042611
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发表时间：
2022-04
影响因子：
2.9
通讯作者：
M. Hillery;J. Bergou;T. Wei;S. Santra;V. Malinovsky
中科院分区：
文献类型：
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作者：
M. Hillery;J. Bergou;T. Wei;S. Santra;V. Malinovsky
不可克隆定理禁止将未知状态分发给多个接收者。然而，如果发送方知道该状态，并且该状态是从一组有限的可能性中选择的，则可以使用称为远程状态准备的过程来广播状态。在这里，我们研究了一种远程状态准备协议，该协议可用于将量子位的状态（仅限于布洛赫球体的赤道）发送到任意数量的接收器。完成相同任务时，纠缠成本比使用隐形传输要低。我们对此任务提出了许多变体，以概率方式向两个接收器发送未知的量子位状态，向两个接收器发送不同的量子位状态，以及向两个接收器发送 qutrit 状态。最后，我们讨论这些协议的一些应用。
The no-cloning theorem forbids the distribution of an unknown state to more than one receiver. However, if the sender knows the state, and the state is chosen from a restricted set of possibilities, a procedure known as remote state preparation can be used to broadcast a state. Here we examine a remote state preparation protocol that can be used to send the state of a qubit, confined to the equator of the Bloch sphere, to an arbitrary number of receivers. The entanglement cost is less than that of using teleportation to accomplish the same task. We present a number of variations on this task, probabilistically sending an unknown qubit state to two receivers, sending different qubit states to two receivers, and sending qutrit states to two receivers. Finally, we discuss some applications of these protocols.