Verstraete, Frank

Quantum computation and quantum-state engineering driven by dissipation

Verstraete, F., Wolf, M. M., & Ignacio Cirac, J. (2009) · Nature Physics

Quantum Information and CryptographyQuantum Computing Algorithms and Architecture

Cited by 1,570

Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems

Verstraete, F., García-Ripoll, J. J., & Cirac, J. I. (2004) · Physical Review Letters

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 1,098

Time-Dependent Variational Principle for Quantum Lattices

Haegeman, J., Cirac, J. I., Osborne, T. J., Pižorn, I., Verschelde, H., & Verstraete, F. (2011) · Physical Review Letters

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 865

Unifying time evolution and optimization with matrix product states

Haegeman, J., Lubich, C., Oseledets, I., Vandereycken, B., & Verstraete, F. (2016) · Physical Review B

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 804

General Monogamy Inequality for Bipartite Qubit Entanglement

Osborne, T. J., & Verstraete, F. (2006) · Physical Review Letters

Quantum Information and CryptographyQuantum Mechanics and Applications

Cited by 733

Matrix product states represent ground states faithfully

Verstraete, F., & Cirac, J. I. (2006) · Physical Review B

Quantum many-body systemsTheoretical and Computational Physics

Cited by 730

Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions

Jordan, J., Orús, R., Vidal, G., Verstraete, F., & Cirac, J. I. (2008) · Physical Review Letters

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 710

Area Laws in Quantum Systems: Mutual Information and Correlations

Wolf, M. M., Verstraete, F., Hastings, M. B., & Cirac, J. I. (2008) · Physical Review Letters

Quantum many-body systemsBlack Holes and Theoretical Physics

Cited by 696

Lieb-Robinson Bounds and the Generation of Correlations and Topological Quantum Order

Bravyi, S., Hastings, M. B., & Verstraete, F. (2006) · Physical Review Letters

Quantum many-body systemsQuantum Information and Cryptography

Cited by 664

Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States

Verstraete, F., Wolf, M. M., Perez-Garcia, D., & Cirac, J. I. (2006) · Physical Review Letters

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 580

Matrix product operator representations

Pirvu, B., Murg, V, Cirac, J. I., & Verstraete, F. (2010) · New Journal of Physics

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 374

Valence-bond states for quantum computation

Verstraete, F., & Cirac, J. I. (2004) · Physical Review A

Quantum Computing Algorithms and ArchitectureQuantum Information and Cryptography

Cited by 333

Tensor product methods and entanglement optimization for ab initio quantum chemistry

Szalay, S., Pfeffer, M., Murg, V., Barcza, G., Verstraete, F., Schneider, R., & Legeza, Ö. (2015) · International Journal of Quantum Chemistry

Quantum many-body systemsAdvanced Chemical Physics Studies

Cited by 314

Computational complexity of projected entangled pair states

Schuch, N., Wolf, M. M., Verstraete, F., & Cirac, J. I. (2007) · Physical Review Letters

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 313

Quantum Metropolis sampling

Temme, K., Osborne, T. J., Vollbrecht, K. G., Poulin, D., & Verstraete, F. (2011) · Nature

Quantum Computing Algorithms and ArchitectureQuantum many-body systems

Cited by 305

Variational optimization algorithms for uniform matrix product states

Zauner-Stauber, V., Vanderstraeten, L., Fishman, M. T., Verstraete, F., & Haegeman, J. (2018) · Physical Review B

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 270

Quantum Simulation of Time-Dependent Hamiltonians and the Convenient Illusion of Hilbert Space

Poulin, D., Qarry, A., Somma, R., & Verstraete, F. (2011) · Physical Review Letters

Quantum Computing Algorithms and ArchitectureQuantum many-body systems

Cited by 265

Computational complexity of interacting electrons and fundamental limitations of density functional theory

Schuch, N., & Verstraete, F. (2009) · Nature Physics

Quantum Computing Algorithms and ArchitectureQuantum many-body systems

Cited by 260

Simulating strongly correlated quantum systems with tree tensor networks

Murg, V., Verstraete, F., Legeza, Ö., & Noack, R. M. (2010) · Physical Review B

Quantum many-body systemsPhysics of Superconductivity and Magnetism

Cited by 245

Tangent-space methods for uniform matrix product states

Vanderstraeten, L., Haegeman, J., & Verstraete, F. (2019) · SciPost Physics Lecture Notes

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 233

Post-matrix product state methods: To tangent space and beyond

Haegeman, J., Osborne, T. J., & Verstraete, F. (2013) · Physical Review B

Quantum many-body systemsPhysics of Superconductivity and Magnetism

Cited by 225

Quantum Computational Complexity of the N -Representability Problem: QMA Complete

Liu, Y.-K., Christandl, M., & Verstraete, F. (2007) · Physical Review Letters

Quantum Computing Algorithms and ArchitectureQuantum many-body systems

Cited by 211

Gradient methods for variational optimization of projected entangled-pair states

Vanderstraeten, L., Haegeman, J., Corboz, P., & Verstraete, F. (2016) · Physical Review B

Quantum many-body systemsQuantum Computing Algorithms and Architecture

Cited by 206

Variational characterizations of separability and entanglement of formation

Audenaert, K., Verstraete, F., & De Moor, B. (2001) · Physical Review A

Quantum Information and CryptographyQuantum Mechanics and Applications

Cited by 176