Unitary evolution and the distinguishability of quantum states

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)


The study of quantum systems evolving from initial states to distinguishable, orthogonal final states is important for information processing applications such as quantum computing and quantum metrology. However, for most unitary evolutions and initial states the system does not evolve to an orthogonal quantum state. Here, we ask what proportion of quantum states evolve to nearly orthogonal systems as a function of the dimensionality of the Hilbert space of the system, and numerically study the evolution of quantum states in low-dimensional Hilbert spaces. We find that, as well as the speed of dynamical evolution, the level of maximum distinguishability depends critically on the Hamiltonian of the system.
Original languageEnglish
Article number026116
Number of pages6
JournalPhysical Review A: Atomic, Molecular and Optical Physics
Issue number6
Early online date11 Dec 2014
Publication statusPublished - Dec 2014


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