当量子层析成像出错时:量子源的漂移和其他错误
When quantum tomography goes wrong: drift of quantum sources and other errors
摘要:
量子层析成像背后的原理是,大量的观测结果--来自“法定数量”的不同观测值的许多样本--都可以令人满意地解释为对单个潜在量子态或过程的测量。不幸的是,这一原则可能不成立。当它失败时,任何标准的层析成像估计都应该被怀疑。在这里,我们提出了一个简单的方法来测试这种故障使用赤池的信息准则(AIC)。我们指出,这个标准在量子环境中的应用,虽然仍然强大,但并不像在经典物理中那样简单。当未来的可观测量与构成法定人数的可观测量不同时,情况尤其如此。
英文摘要:
The principle behind quantum tomography is that a large set of observations -- many samples from a "quorum" of distinct observables -- can all be explained satisfactorily as measurements on a single underlying quantum state or process. Unfortunately, this principle may not hold. When it fails, any standard tomographic estimate should be viewed skeptically. Here we propose a simple way to test for this kind of failure using Akaike's Information Criterion (AIC). We point out that the application of this criterion in a quantum context, while still powerful, is not as straightforward as it is in classical physics. This is especially the case when future observables differ from those constituting the quorum.
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