Institute for Mathematical Physics Universal State Inversion and Concurrence in Arbitrary Dimensions Universal State Inversion and Concurrence in Arbitrary Dimensions
Institute for Mathematical Physics Universal State Inversion and Concurrence in Arbitrary Dimensions Universal State Inversion and Concurrence in Arbitrary Dimensions
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影响因子：
4.5
通讯作者：
P. Rungta;V. Bužek;C. Caves;M. Hillery;G. J. Milburn
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作者：
P. Rungta;V. Bužek;C. Caves;M. Hillery;G. J. Milburn
Wootters [Phys. Rev. Lett. 80，2245（1998）]给出了一个明确的公式纠缠的形成两个量子比特在他所谓的并发的联合密度算符。伍特斯的并发是在翻转量子位自旋的超算符的帮助下定义的。我们将自旋翻转超算符推广为作用于任意维量子系统的“普适反子“，并引入了D1 × D2二体量子系统联合纯态的相应的并发性.泛反相器是一个正的，但不是完全正的超算子，它与完全正的泛非超算子密切相关，后者是经典非门的量子模拟。我们提出了一个物理实现的universal-NOT超算子。
Wootters [Phys. Rev. Lett. 80, 2245 (1998)] has given an explicit formula for the entanglement of formation of two qubits in terms of what he calls the con-currence of the joint density operator. Wootters's concurrence is defined with the help of the superoperator that flips the spin of a qubit. We generalize the spin-flip superoperator to a " universal inverter, " which acts on quantum systems of arbitrary dimension, and we introduce the corresponding concurrence for joint pure states of D 1 × D 2 bipartite quantum systems. The universal inverter, which is a positive, but not completely positive superoperator, is closely related to the completely positive universal-NOT superoperator, the quantum analogue of a classical NOT gate. We present a physical realization of the universal-NOT superoperator.