An algorithm to explore entanglement in small systems
Research output: Contribution to journal › Journal article › Research › peer-review
A quantum state’s entanglement across a bipartite cut can be quantified with entanglement entropy or, more generally, Schmidt norms. Using only Schmidt decompositions, we present a simple iterative algorithm to maximize Schmidt norms. Depending on the choice of norm, the optimizing states maximize or minimize entanglement, possibly across several bipartite cuts at the same time and possibly only among states in a specified subspace. Recognizing that convergence but not success is certain, we use the algorithm to explore topics ranging from fermionic reduced density matrices and varieties of pure quantum states to absolutely maximally entangled states and minimal output entropy of channels.
Original language | English |
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Article number | 20180023 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 474 |
Issue number | 2214 |
Number of pages | 20 |
ISSN | 1364-5021 |
DOIs | |
Publication status | Published - Jun 2018 |
Externally published | Yes |
- algorithm, entanglement, Schmidt norms, fermionic reduced density matrices, varieties of pure quantum states, minimal output entropy
Research areas
ID: 239073274