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arXiv quant-ph/0508027quant-phcond-mat.supr-con
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超导电路中的宏观Einstein-Podolsky-Rosen对

Macroscopic Einstein-Podolsky-Rosen pairs in superconducting circuits

L. F. Wei, Yu-xi Liu, Markus J. Storcz, Franco Nori

摘要:

我们提出了一种有效的方法来制备爱因斯坦-波多尔斯基-罗森(EPR)对在现有的约瑟夫森纳米电路与电容耦合。在这些固定的偶合电路中,可以容易地实现双量子位逻辑门,而严格地说,单量子位逻辑门不容易实现。对于一个已知的双量子比特状态,条件单量子比特操作仍然可以被设计为仅演化所选择的量子比特,并保持另一个量子比特不变;所选择的量子比特的旋转取决于另一个量子比特的状态。这些有条件的单量子比特操作允许确定性地生成由EPR-贝尔(或贝尔)状态表示的众所周知的爱因斯坦-波多尔斯基-罗森对。进一步提出量子态层析成像来实验证实这些态的产生。用数值模拟方法分析了制备的EPR对的衰变过程。本文还讨论了用生成的EPR对检验Bell不等式的可能性。

英文摘要:

We propose an efficient approach to prepare Einstein-Podolsky-Rosen (EPR) pairs in currently existing Josephson nanocircuits with capacitive couplings. In these fixed coupling circuits, two-qubit logic gates could be easily implemented while, strictly speaking, single-qubit gates cannot be easily realized. For a known two-qubit state, conditional single-qubit operation could still be designed to evolve only the selected qubit and keep the other qubit unchanged; the rotation of the selected qubit depends on the state of the other one. These conditional single-qubit operations allow to deterministically generate the well-known Einstein-Podolsky-Rosen pairs, represented by EPR-Bell (or Bell) states. Quantum-state tomography is further proposed to experimentally confirm the generation of these states. The decays of the prepared EPR pairs are analyzed using numerical simulations. Possible application of the generated EPR pairs to test Bell's Inequality is also discussed.

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