A1 Refereed original research article in a scientific journal

Notes on deterministic programming of quantum observables and channels




AuthorsHeinosaari T, Tukiainen M

PublisherSPRINGER

Publication year2015

JournalQuantum Information Processing

Journal name in sourceQUANTUM INFORMATION PROCESSING

Journal acronymQUANTUM INF PROCESS

Volume14

Issue8

First page 3097

Last page3114

Number of pages18

ISSN1570-0755

DOIhttps://doi.org/10.1007/s11128-015-1025-x(external)


Abstract

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