论文标题
信号处理技术,用于有效地汇编被困离子中的受控旋转
Signal processing techniques for efficient compilation of controlled rotations in trapped ions
论文作者
论文摘要
在许多量子算法中,具有许多对照尺的量子逻辑门是必不可少的,但在当前实验中执行仍然具有挑战性。被困的离子量子计算机本身具有不同类型的纠缠操作,即Molmer-Sorensen(MS)门,该门有效地同时将ISING相互作用应用于所有量子位。我们考虑一系列相等的全部MS操作,与仅在一个特殊量子位上起作用的单个量子门交织在一起。使用与量子信号处理技术的连接,我们发现可以在且仅当所有其他量子位在状态中| 1>>时,在特殊量子位上进行Artivray SU(2)旋转。使用N-1控制码位的这种受控旋转门需要MS门的2N应用,并且可以通过将单个量子降级到Ancilla来映射到常规的Toffoli Gate。
Quantum logic gates with many control qubits are essential in many quantum algorithms, but remain challenging to perform in current experiments. Trapped ion quantum computers natively feature a different type of entangling operation, namely the Molmer-Sorensen (MS) gate which effectively applies an Ising interaction to all qubits at the same time. We consider a sequence of equal all-to-all MS operations, interleaved with single qubit gates that act only on one special qubit. Using a connection with quantum signal processing techniques, we find that it is possible to perform an arbitray SU(2) rotation on the special qubit if and only if all other qubits are in the state |1>. Such controlled rotation gates with N-1 control qubits require 2N applications of the MS gate, and can be mapped to a conventional Toffoli gate by demoting a single qubit to ancilla.