A1 Refereed original research article in a scientific journal
Notes on deterministic programming of quantum observables and channels
Authors: Heinosaari T, Tukiainen M
Publisher: SPRINGER
Publication year: 2015
Journal: Quantum Information Processing
Journal name in source: QUANTUM INFORMATION PROCESSING
Journal acronym: QUANTUM INF PROCESS
Volume: 14
Issue: 8
First page : 3097
Last page: 3114
Number of pages: 18
ISSN: 1570-0755
DOI: https://doi.org/10.1007/s11128-015-1025-x(external)
We study the limitations of deterministic programmability of quantum circuits, e.g., quantum computer. More precisely, we analyze the programming of quantum observables and channels via quantum multimeters. We show that the programming vectors for any two different sharp observables are necessarily orthogonal, whenever post-processing is not allowed. This result then directly implies that also any two different unitary channels require orthogonal programming vectors. This approach generalizes the well-known orthogonality result first proven by Nielsen and Chuang. In addition, we give size bounds for a multimeter to be efficient in quantum programming.