Notes on deterministic programming of quantum observables and channels




Heinosaari T, Tukiainen M

PublisherSPRINGER

2015

Quantum Information Processing

QUANTUM INFORMATION PROCESSING

QUANTUM INF PROCESS

14

8

3097

3114

18

1570-0755

DOIhttps://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.




Last updated on 2024-26-11 at 19:11