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Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
Frank Verstraete,J. I. Cirac +1 more
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TLDR
This work describes quantum many--body systems in terms of projected entangled--pair states, which naturally extend matrix product states to two and more dimensions, and uses this result to build powerful numerical simulation techniques to describe the ground state, finite temperature, and evolution of spin systems in two and higher dimensions.Abstract:
We describe quantum many--body systems in terms of projected entangled--pair states, which naturally extend matrix product states to two and more dimensions. We present an algorithm to determine correlation functions in an efficient way. We use this result to build powerful numerical simulation techniques to describe the ground state, finite temperature, and evolution of spin systems in two and higher dimensions.read more
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The density-matrix renormalization group in the age of matrix product states
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Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
TL;DR: In this paper, the authors review recent developments in the theoretical understanding and numerical implementation of variational renormalization group methods using matrix product states and projected entangled pair states, and present a survey of the literature.
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Quantum computation and quantum-state engineering driven by dissipation
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