2017/02/28 by K. Srinivasan, G. Raghavan
Computer Science · Physics and Astronomy · #Density matrix #Matrix (chemical analysis) #Probability density function #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum state #Reduction (mathematics) #TRACE (psycholinguistics) #Wigner distribution function #quant-ph
paper · pdf · doi:10.1007/s10773-017-3615-0
published as Int J Theor Phys (2017) · 7 Pages and zero figures
arxiv created 2017/02/28 · openalex created_date 2017/03/16 · openalex publication_date 2017/12/04 · arxiv updated 2017/12/08 · openalex updated_date 2026/08/05
Density matrices and Discrete Wigner Functions are equally valid representations of multiqubit quantum states. For density matrices, the partial trace operation is used to obtain the quantum state of subsystems, but an analogous prescription is not available for discrete Wigner Functions. Further, the discrete Wigner function corresponding to a density matrix is not unique but depends on the choice of the quantum net used for its reconstruction. In the present work, we derive a reduction formula for discrete Wigner functions of a general multiqubit state which works for arbitrary quantum nets. These results would be useful for the analysis and classification of entangled states and the study of decoherence purely in a discrete phase space setting and also in applications to quantum computing