Titlebook: Quantum Information Meets Quantum Matter; From Quantum Entangl Bei Zeng,Xie Chen,Xiao-Gang Wen Book 2019 Springer Science+Business Media, L

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Introduction to Topological Orderare beyond Landau symmetry-breaking theory. In this chapter, we discuss new “topological” phenomena, such as topological degeneracy, that reveal the existence of those new phases—topologically ordered phases. Just like zero-viscosity defines the superfluid order, the new “topological” phenomena define the topological order at macroscopic level.

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Tensor Product States and 2D Gapped Phasesre responsible for the corresponding symmetry-breaking or topological order. Other forms of tensor network state, including the tree tensor network state and MERA (multiscale entanglement renormalization ansatz), are also discussed.

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Correlation and Entanglementin probability theory, which leads to some understanding of the concepts of entropy and mutual information, which are of vital importance in modern information theory. This builds a framework that allows us to look at the theory of a new concept, called quantum entanglement, which serves as a fundam

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Evolution of Quantum Systemstion. In the ideal case, the evolution of the wave function . is unitary. This unitary evolution gives rise to the circuit model of quantum computation, where the computational procedure is to “apply” unitary operations to the quantum state carrying information of the computation. However, as discus

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