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arXiv quant-ph/0506062quant-ph
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单向模型中的决定论

Determinism in the one-way model

Vincent Danos, Elham Kashefi

摘要:

我们引入了一个开放的图形状态(图形状态的输入和输出),保证全局确定性行为的一类测量模式定义在他们的流动条件。依赖泡利校正推导出所有这样的模式,均衡所有的计算分支,只依赖于底层的纠缠图及其选择的输入和输出。具有流的模式类在合成和张量化下是稳定的,并且具有酉嵌入作为实现。具有流和反向流的模式的限制类,支持附加操作,并且具有全部且唯一的幺正作为实现。

英文摘要:

We introduce a flow condition on open graph states (graph states with inputs and outputs) which guarantees globally deterministic behavior of a class of measurement patterns defined over them. Dependent Pauli corrections are derived for all such patterns, which equalize all computation branches, and only depend on the underlying entanglement graph and its choice of inputs and outputs. The class of patterns having flow is stable under composition and tensorization, and has unitary embeddings as realizations. The restricted class of patterns having both flow and reverse flow, supports an operation of adjunction, and has all and only unitaries as realizations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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