arXiv 0811.44662008-11quant-ph

量子比特间纠缠转移的守恒规则

Conservation rules for entanglement transfer between qubits

S. Chan, M. D. Reid, Z. Ficek

备注：: Published version
发表信息：: J. Phys. B: At. Mol. Opt. Phys. 43, 215505 (2010)

摘要：

我们考虑纠缠但无相互作用的量子比特对a_{1}和b_{1}，它们分别独立地耦合到一组0比特值的局域量子比特系统a_{I}和b_{J}。在量子位数守恒的局域相互作用下，我们推导了从a_{1} - b_{1}到任意一对a_{I} - b_{J}的纠缠转移规则.结果表明，传输规则强烈依赖于初始纠缠态。如果初始纠缠是反关联量子比特对应的Bell态的形式，则非局域两两并发的平方和是守恒的。如果初始态是具有相关量子比特的贝尔态，这个和可以减少，在某些情况下甚至可以减少到零，以揭示所有非局域成对纠缠的完全和突然的损失。我们还发现，对于所有量子位在一个位置，一个量子位b_{J}在另一个位置的非定域二分区A- b_{J}，并发满足一个简单的加法规则的两种情况下的贝尔状态，即非定域并发的平方和是保守的。

英文摘要：

We consider an entangled but non-interacting qubit pair a_{1} and b_{1} that are independently coupled to a set of local qubit systems, a_{I} and b_{J}, of 0-bit value, respectively. We derive rules for the transfer of entanglement from the pair a_{1}-b_{1} to an arbitrary pair a_{I}-b_{J}, for the case of qubit-number conserving local interactions. It is shown that the transfer rule depends strongly on the initial entangled state. If the initial entanglement is in the form of the Bell state corresponding to anti-correlated qubits, the sum of the square of the non-local pairwise concurrences is conserved. If the initial state is the Bell state with correlated qubits, this sum can be reduced, even to zero in some cases, to reveal a complete and abrupt loss of all non-local pairwise entanglement. We also identify that for the nonlocal bipartitions A-b_{J} involving all qubits at one location, with one qubit b_{J} at the other location, the concurrences satisfies a simple addition rule for both cases of the Bell states, that the sum of the square of the nonlocal concurrences is conserved.

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英文摘要：

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