這篇論文介紹了張量網路的推廣，稱為玻色/費米子張量網路，它捕捉了福克空間（Fock space）的交換對稱性，並為玻色/費米子算符的代數提供了直觀的視角。
玻色/費米子張量網路體現了玻色/費米子系統的資訊流，其中粒子是資訊的載體，物理過程則將這些資訊關聯在一起。
作為福克空間的類比，我們還為開放系統建立了對稱/反對稱張量代數，稱為正規序超福克空間，其中玻色/費米子超級算符是根據算符排序定義的，而狀態則表示為相關函數的集合。
在這個表述中，可以很容易地推導出與熱庫雙線性耦合的系統的主方程，若與約化密度矩陣的表述相比，耗散和漲落之間的邊界變得非常地明確。
耗散和漲落超級算符的代數表現出與雙線性耦合系統相似的結構，除了它們的么正性質。這說明開放系統的完整動力學不能用李群來描述，並體現了開放系統的非馬爾科夫性和記憶效應。
我們還完成了對二次冪耦合和壓縮態的擴展。

A generalization of tensor network diagram, called bosonic/fermionic tensor network diagram, is introduced, which captures the exchange symmetry of Fock spaces, and provides an intuitive perspective on the algebra of boson/fermion operators.
It manifests information flows of boson/fermion systems, in which particles are carriers of information, and physical processes correlate information together.
As an analogy for Fock spaces, symmetric/antisymmetric tensor algebras for open systems are also established, called normal ordering super-Fock space, in which the boson/fermion superoperators are defined based on orderings, and states are represented as sets of correlation functions.
In this formulation, the master equation of the system bilinearly coupled to baths can be easily derived, and the boundary between dissipation and fluctuation is surprisingly clear compared to the formulation for the reduced density matrix.
The algebra of dissipation and fluctuation superoperators exhibits a similar structure to bilinear coupled systems except for their unitary nature. This means the full dynamics of an open system cannot be described by Lie groups, that manifests the non-markovianity and memory effects of open systems.
Extensions to quadratic couplings and squeezed states are also done.

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