dr hab. inż. Maciej Demianowicz
Employment
- Associate professor at Instytut Fizyki i Informatyki Stosowanej
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Contact
- maciej.demianowicz@pg.edu.pl
Associate professor
- Workplace
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Gmach Główny
room 033 open in new tab - Phone
- +48 58 347 12 77
Publication showcase
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Universal construction of genuinely entangled subspaces of any size
We put forward a simple construction of genuinely entangled subspaces – subspaces supporting only genuinely multipartite entangled states – of any permissible dimensionality for any number of parties and local dimensions. The method uses nonorthogonal product bases, which are built from totally nonsingular matrices with a certain structure. We give an explicit basis for the constructed subspaces. An immediate consequence of our...
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Negative result about the construction of genuinely entangled subspaces from unextendible product bases
Unextendible product bases (UPBs) provide a versatile tool with various applications across different areas of quantum information theory. Their comprehensive characterization is thus of great importance and has been a subject of vital interest for over two decades now. An open question asks about the existence of UPBs, which are genuinely unextendible, i.e., they are not extendible even with biproduct vectors. In other words,...
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Completely entangled subspaces of entanglement depth k
We introduce a class of entangled subspaces: completely entangled subspaces of entanglement depth k (k-CESs). These are subspaces of multipartite Hilbert spaces containing only pure states with an entanglement depth of at least k. We present an efficient construction of k-CESs of any achievable dimensionality in any multipartite scenario. Further, we discuss the relation between these subspaces and unextendible product bases (UPBs)....
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