究竟是什麼樣的機制，使得候鳥飛翔在廣大的天際時，能夠精準的判斷方向，遷徙到想要去的地方？這個問題一直吸引著科學家許久。至今，沒有一個古典物理的模型可以解釋候鳥的導航行為。然而，隨著量子力學近百年的發展，科學家逐漸嘗試利用量子力學來解釋一些古典物理無法解釋的現象，其中一門領域—量子生物學（quantum biology）—便是之一。候鳥的導航行為在量子力學模型底下有一個較成功的結果，也使得該領域成為量子生物學一門重要的研究分支。其中，一個比較廣為接受並且使用的模型稱為「自由基對模型」（radical pair model）。在這個模型裡，「量子糾纏」（quantum entanglement）是一個重要的物理量，探討著兩個物體之間的量子關聯性（在此模型裡頭，為兩顆電子）。在本篇論文中，我們嘗試使用最近幾年備受矚目的的另一種量子關聯性—量子操縱性（quantum steering）—來與量子糾纏做比較。此外，我們還從另一個角度，使用時間上的量子關聯性—時間量子操縱性（temporal quantum steering）—來檢視其在自由基對模型下的行為。

It is known that some species use the geomagnetic fi eld of Earth for orientation and navigation. The chemical compass of the radical-pair model may explain the behaviour of a bird's navigation. Some papers have already suggested that the sensitivity on the singlet-product yield is the key quantify for the navigation
. Since the radical-pair model is based on quantum mechanics, it is suggested that long-lived quantum coherence and entanglement may play a role in navi-
gation. However, the entanglement is shown to be independent of the direction between the geomagnetic eld and the radical pair. In this thesis, we use the
quantum steering, which is from the consideration of the local hidden state", to investigate the radical-pair model. Steering is a quantum correlation between
Bell's inequality and entanglement. We show that the temporal steerable weight depends on the direction of the geomagnetic eld. It may help us to understand
the quantum correlation in the radical-pair model.

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