This paper focuses on the study of topological features in teleportation-based quantum computation and aims at presenting a detailed review on teleportation-based quantum computation (Gottesman and Chuang in Nature 402: 390, 1999). In the extended Temperley–Lieb diagrammatical approach, we clearly show that such topological features bring about the fault-tolerant construction of both universal quantum gates and four-partite entangled states more intuitive and simpler. Furthermore, we describe the Yang–Baxter gate by its extended Temperley–Lieb configuration and then study teleportation-based quantum circuit models using the Yang–Baxter gate. Moreover, we discuss the relationship between the extended Temperley–Lieb diagrammatical approach and the Yang–Baxter gate approach. With these research results, we propose a worthwhile subject, the extended Temperley–Lieb diagrammatical approach, for physicists in quantum information and quantum computation.
Quantum Information Processing – Springer Journals
Published: Nov 3, 2015
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