The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Matrix product state representations
Abstract
This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-representation for classical simulations of quantum systems is discussed.
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Citations
Cites
Area Laws in Quantum Systems: Mutual Information and Correlations
Wolf, M. M., Verstraete, F., Hastings, M. B., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.070502 · Cited by 696
Self-citationSimulating Quantum Computation by Contracting Tensor Networks
Markov, I. L., & Shi, Y. (2008) · SIAM Journal on Computing · doi:10.1137/050644756 · Cited by 472
Novel Schemes for Measurement-Based Quantum Computation
Gross, D., & Eisert, J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.220503 · Cited by 255
Cited by
Verstraete, F., Murg, V., & Cirac, J. I. (2008) · Advances in Physics · doi:10.1080/14789940801912366 · Cited by 1,762
Self-citationEntanglement entropy and conformal field theory
Calabrese, P., & Cardy, J. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504005 · Cited by 1,688
“t;0 (and not only for n≥ 1) at least for the simplest solvable models, where it can be explicitly checked. This is of relevance for the convergence of of the algorithms based on matrix product states [25, 26]. 3.1. Generalizations: Finite temperature or finite size The fact that Trρn A transforms under a general confor…”
BackgroundMethodInfluentialPreparation of entangled states by quantum Markov processes
Kraus, B., Büchler, H. P., Diehl, S., Kantian, A., Micheli, A., & Zoller, P. (2008) · Physical Review A · doi:10.1103/physreva.78.042307 · Cited by 760
Efficient Variational Quantum Simulator Incorporating Active Error Minimization
Li, Y., & Benjamin, S. C. (2017) · Physical Review X · doi:10.1103/physrevx.7.021050 · Cited by 686
Assessing Non-Markovian Quantum Dynamics
Wolf, M. M., Eisert, J., Cubitt, T. S., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.150402 · Cited by 596
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Metadata
- Authors
- Perez-Garcia, D., Verstraete, F., Wolf, M. M., & Cirac, J. I.
- Venue
- Quantum Information and Computation
- Publisher
- Rinton Press
- Published
- 2007-07
- Volume
- 7
- Issue
- 5&6
- Pages
- 401-430
- ISSN
- 1533-7146 (ISSN-L)
- OpenAlex
- W2949757588
- Cited by
- 568
- References
- 3
- FWCI
- 9.37
- Type
- journal article
- Language
- en
- Open access
- closed
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- Perez-Garcia, D., Verstraete, F., Wolf, M. M., & Cirac, J. I. (2007). Matrix product state representations. Quantum Information and Computation. https://doi.org/10.26421/qic7.5-6-1
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