2001/07/04 by J Batle, J. Batle, M. Casas +5
Computer Science · Physics and Astronomy · #Diagonal #Entropy (arrow of time) #Joint quantum entropy #Multipartite entanglement #Principle of maximum entropy #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum many-body systems #Squashed entanglement #W state #quant-ph
paper · pdf · doi:10.1088/0305-4470/34/33/309
published as Journal of Physics A 34, 6443 (2001) · 25 Revtex pages, 5 Postscript figures, submitted to J. Phys. A (Math. Gen.)
arxiv created 2001/07/04 · openalex publication_date 2001/08/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The inference of entangled quantum states by recourse to the maximum entropy (MaxEnt) principle is considered in connection with the recently pointed out problem of fake inferred entanglement (Horodecki R et al 1999 Phys. Rev. A 59 1799). We show that there are operators Â, both diagonal and non-diagonal in the Bell basis, such that, when the expectation value ⟨Â⟩ is taken as prior information, the problem of fake entanglement is not solved by adding a new constraint associated with the mean value of  2 (unlike what happens when the partial information is given by the expectation value of a Bell operator). The fake entanglement generated by the MaxEnt principle is also studied quantitatively by comparing the entanglement of formation of the inferred state with that of the original one.