Universal limitations on implementing resourceful unitary evolutions
Universal limitations on implementing resourceful unitary evolutions
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DOI：
10.1103/physreva.101.022315
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发表时间：
2019-09
影响因子：
2.9
通讯作者：
Ryuji Takagi;H. Tajima
中科院分区：
文献类型：
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作者：
Ryuji Takagi;H. Tajima
根据目标么正的资源产生/损失能力，我们推导出了用一组有限的自由么正实现期望酉化的精度与辅助系统的大小之间的权衡关系。特别地，这一关系意味着，对于任何配备了满足宽松条件的资源度量的理论，如果环境具有有限的维度，则应用于系统和环境的自由么正不能完美地实现任何资源变化么正。我们的结果适用于一大类资源，包括能量、不对称、相干、纠缠和魔术，施加了这些重要物理环境中固有的终极限制，并为一般资源理论中的操作限制提供了见解。
We derive a trade-off relation between the accuracy of implementing a desired unitary evolution using a restricted set of free unitaries and the size of the assisting system, in terms of the resource generating/losing capacity of the target unitary. In particular, this relation implies that, for any theory equipped with a resource measure satisfying lenient conditions, any resource changing unitary cannot be perfectly implemented by a free unitary applied to a system and an environment if the environment has finite dimensions. Our results are applicable to a wide class of resources including energy, asymmetry, coherence, entanglement, and magic, imposing ultimate limitations inherent in such important physical settings, as well as providing insights into operational restrictions in general resource theories.