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20142026
most citedMatrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

831 citations

Showing 2018 · quant-phShow all

7 papers · 2 filters

quant-ph2018★ 36 cited

Classification of Matrix-Product Unitaries with Symmetries

Zongping Gong, Christoph Sünderhauf, Norbert Schuch +1

We prove that matrix-product unitaries (MPUs) with on-site unitary symmetries are completely classified by the (chiral) index and the cohomology class of the symmetry group , pr…

quant-ph2018★ 31 cited

Optimal Control of Hybrid Optomechanical Systems for Generating Non-Classical States of Mechanical Motion

Ville Bergholm, Witlef Wieczorek, Thomas Schulte-Herbrueggen +1

Cavity optomechanical systems are one of the leading experimental platforms for controlling mechanical motion in the quantum regime. We exemplify that the control over cavity optom…

quant-ph2018★ 9 cited

Phase Spaces, Parity Operators, and the Born-Jordan Distribution

Bálint Koczor, Frederik vom Ende, Maurice de Gosson +2

Phase spaces as given by the Wigner distribution function provide a natural description of infinite-dimensional quantum systems. They are an important tool in quantum optics and ha…

quant-ph2018★ 9 cited

Symmetry-adapted decomposition of tensor operators and the visualization of coupled spin systems

David Leiner, Robert Zeier, Steffen J. Glaser

We study the representation and visualization of finite-dimensional quantum systems. In a generalized Wigner representation, multi-spin operators can be decomposed into a symmetry-…

quant-ph2018★ 143 cited

Analog quantum chemistry simulation

J. Argüello-Luengo, A. González-Tudela, T. Shi +2

Computing the electronic structure of molecules with high precision is a central challenge in the field of quantum chemistry. Despite the enormous success of approximate methods, t…

quant-ph2018★ 24 cited

Projected Entangled Pair States: Fundamental analytical and numerical limitations

G. Scarpa, A. Molnar, Y. Ge +4

Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions,…

quant-ph2018★ 5 cited

Universal random codes: Capacity regions of the compound quantum multiple-access channel with one classical and one quantum sender

Holger Boche, Gisbert Janßen, Sajad Saeedinaeeni

We consider the compound memoryless quantum multiple-access channel (QMAC) with two sending terminals. In this model, the transmission is governed by the memoryless extensions of a…