2015/12/02 by Chetan Waghela, Waghela, Chetan
Computer Science · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #physics.gen-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.1512.00447
24 pages, 1 figure, Presented as poster at QIPA 2013
arxiv created 2015/12/02 · openalex publication_date 2015/12/02 · arxiv updated 2015/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Hamiltonian Mechanics works for conserved systems and Quantum Mechanics is given in Hamiltonian language. It is considered that complexifying the quantum Hamiltonian, a balanced loss and gain model can be created. The usual mathematics of density operator formalism and entanglement is extrapolated to such systems and the consequences are studied. Namely, a complete formalism using Density operators is created for real eigenvalue regime of these Non- Hermitian systems and correct forms of Von-Neumann and Entanglement Entropy are created. The consequences are studied in this regime and depicted w.r.t recent papers by [9, 20].