A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Notes on deterministic programming of quantum observables and channels
Tekijät: Heinosaari T, Tukiainen M
Kustantaja: SPRINGER
Julkaisuvuosi: 2015
Journal: Quantum Information Processing
Tietokannassa oleva lehden nimi: QUANTUM INFORMATION PROCESSING
Lehden akronyymi: QUANTUM INF PROCESS
Vuosikerta: 14
Numero: 8
Aloitussivu: 3097
Lopetussivu: 3114
Sivujen määrä: 18
ISSN: 1570-0755
DOI: https://doi.org/10.1007/s11128-015-1025-x
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.