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Institute of Semiconductor and Solid State Physics
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FG 5 Publications

Publications Group Weihs

Publications Group Kraus

Matthias Englbrecht, opens an external URL in a new windowTristan Kraft, opens an external URL in a new windowBarbara Kraus: , opens an external URL in a new windowTransformations of Stabilizer States in Quantum Networks, arXiv:2203.04202 [quant-ph], opens an external URL in a new window, 08 March 2022.

Stabilizer states and graph states find application in quantum error correction, measurement-based quantum computation and various other concepts in quantum information theory. In this work, we study party-local Clifford (PLC) transformations among stabilizer states. These transformations arise as a physically motivated extension of local operations in quantum networks with access to bipartite entanglement between some of the nodes of the network. First, we show that PLC transformations among graph states are equivalent to a generalization of the well-known local complementation, which describes local Clifford transformations among graph states. Then, we introduce a mathematical framework to study PLC equivalence of stabilizer states, relating it to the classification of tuples of bilinear forms. This framework allows us to study decompositions of stabilizer states into tensor products of indecomposable ones, that is, decompositions into states from the entanglement generating set (EGS). While the EGS is finite up to 3 parties [Bravyi et al., J. Math. Phys. {\bf 47}, 062106~(2006)], we show that for 4 and more parties it is an infinite set, even when considering party-local unitary transformations. Moreover, we explicitly compute the EGS for 4 parties up to 10 qubits. Finally, we generalize the framework to qudit stabilizer states in prime dimensions not equal to 2, which allows us to show that the decomposition of qudit stabilizer states into states from the EGS is unique.

Publications Group Rastelli


C. Schimpf, S. Manna, S. F. Covre da Silva, M. Aigner, A. Rastelli
Entanglement-based quantum key distribution with a blinking-free quantum dot operated at a temperature up to 20 K, opens an external URL in a new window
Advanced Photonics 3, 065001, 2021.

The article was selected for featuring the cover design of Advanced Photonics Vol.3, Iss.6, 2021.



Advanced Photonics 3 (2021), Cover

S. F. Covre da Silva, G. Undeutsch, B. Lehner, S. Manna, T. M. Krieger, M. Reindl, C. Schimpf, R. Trotta, A. Rastelli
GaAs quantum dots grown by droplet etching epitaxy as quantum light sources, opens an external URL in a new window
Applied Physics Letters 119, 120502 (2021).

H. Huang, D. Csontosova, S. Manna, Y. Huo, R.Trotta, A. Rastelli, P. Klenovsky
Electric field induced tuning of electronic correlation in weakly confining quantum dots, opens an external URL in a new window
Physical Review B 104, 165401 (2021).

T. Lettner, S. Gyger, K. D. Zeuner, L. Schweickert, S. Steinhauer, C. Reuterskiöld Hedlund, S. Stroj, A. Rastelli, M. Hammar, R. Trotta, K. D. Jöns, V.  Zwiller
Strain-Controlled Quantum Dot Fine Structure for Entangled Photon Generation at 1550 nm, opens an external URL in a new window
Nano Lett.  21, 10501−10506 (2021).

C. Schimpf, M. Reindl, F. Basso Basset, K. Jöns, R. Trotta, A. Rastelli
Quantum dots as potential sources of strongly entangled photons: Perspectives and challenges for applications in quantum networks, opens an external URL in a new window
Appl Phys. Lett. 118, 100502, 2021.