Random quantum states

1990 ◽  
Vol 20 (11) ◽  
pp. 1365-1378 ◽  
Author(s):  
William K. Wootters
Keyword(s):  
Quantum States ◽  
Random Quantum States

scholarly journals Signatures of Anderson localization and delocalized random quantum states

2018 ◽  
Vol 514 ◽  
pp. 141-149
Author(s):  
Giorgio J. Moro ◽  
Giulia Dall'Osto ◽  
Barbara Fresch
Keyword(s):  
Anderson Localization ◽  
Quantum States ◽  
Random Quantum States

scholarly journals Quantum random state generation with predefined entanglement constraint

2014 ◽  
Vol 12 (05) ◽  
pp. 1450030 ◽  
Author(s):  
Anmer Daskin ◽  
Ananth Grama ◽  
Sabre Kais
Keyword(s):  
Error Correction ◽  
Weighted Graph ◽  
Quantum States ◽  
Von Neumann Entropy ◽  
Bipartite Entanglement ◽  
Von Neumann ◽  
Communication Algorithms ◽  
Equivalent Quantum ◽  
State Generation ◽  
Random Quantum States

Entanglement plays an important role in quantum communication, algorithms, and error correction. Schmidt coefficients are correlated to the eigenvalues of the reduced density matrix. These eigenvalues are used in von Neumann entropy to quantify the amount of the bipartite entanglement. In this paper, we map the Schmidt basis and the associated coefficients to quantum circuits to generate random quantum states. We also show that it is possible to adjust the entanglement between subsystems by changing the quantum gates corresponding to the Schmidt coefficients. In this manner, random quantum states with predefined bipartite entanglement amounts can be generated using random Schmidt basis. This provides a technique for generating equivalent quantum states for given weighted graph states, which are very useful in the study of entanglement, quantum computing, and quantum error correction.

Entanglement and random quantum states

2008 ◽  
Author(s):  
Marko Žnidarič ◽  
Marko Robnik ◽  
Valery Romanovski
Keyword(s):  
Quantum States ◽  
Random Quantum States

Martin-Löf random quantum states

2019 ◽  
Vol 60 (9) ◽  
pp. 092201 ◽  
Author(s):  
André Nies ◽  
Volkher B. Scholz
Keyword(s):  
Quantum States ◽  
Random Quantum States

scholarly journals Average skew information-based coherence and its typicality for random quantum states

2020 ◽  
Vol 54 (1) ◽  
pp. 015302
Author(s):  
Zhaoqi Wu ◽  
Lin Zhang ◽  
Shao-Ming Fei ◽  
Xianqing Li-Jost
Keyword(s):  
Quantum States ◽  
Skew Information ◽  
Random Quantum States
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