Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states

Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states
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DOI:
10.1103/physreva.81.012334
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发表时间:
2009-09
期刊:
影响因子:
2.9
通讯作者:
N. Killoran;D. Biggerstaff;R. Kaltenbaek;K. Resch;N. Lutkenhaus
N. Killoran;D. Biggerstaff;R. Kaltenbaek;K. Resch;N. Lutkenhaus
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
N. Killoran;D. Biggerstaff;R. Kaltenbaek;K. Resch;N. Lutkenhaus

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远程态准备(RSP)是在远程位置准备量子态而不实际传输状态本身的行为。使用最多两个经典比特和一个共享的最大纠缠态,理论上人们可以确定并完美地远程准备任何量子比特态。然而,在任何实验实现中,目标状态和输出状态之间的平均保真度都不可能是完美的。为了让RSP实验证明真正的量子优势,它必须超过类似经典协议的最佳阈值。在这里,我们研究了无共享纠缠的RSP协议所能达到的保真度,并确定了几种不同情况下的平均保真度的最佳值。我们实现了任意光子偏振量子比特确定性远程制备的实验方案,制备了不同纯态和混合态的量子比特态,平均保真度为0.995美元。当经典协议不允许完美的RSP时,我们通过实验获得的平均保真度超过了我们导出的经典阈值。
Remote state preparation (RSP) is the act of preparing a quantum state at a remote location without actually transmitting the state itself. Using at most two classical bits and a single shared maximally entangled state, one can in theory remotely prepare any qubit state with certainty and with perfect fidelity. However, in any experimental implementation the average fidelity between the target and output states cannot be perfect. In order for an RSP experiment to demonstrate genuine quantum advantages, it must surpass the optimal threshold of a comparable classical protocol. Here we study the fidelity achievable by RSP protocols lacking shared entanglement and determine the optimal value for the average fidelity in several different cases. We implement an experimental scheme for deterministic remote preparation of arbitrary photon polarization qubits, preparing $178$ different pure and mixed qubit states with an average fidelity of $0.995$. Our experimentally achieved average fidelities surpass our derived classical thresholds whenever the classical protocol does not trivially allow for perfect RSP.