2020
DOI: 10.1098/rspa.2019.0832
|View full text |Cite
|
Sign up to set email alerts
|

Necessary and sufficient conditions on measurements of quantum channels

Abstract: Quantum supermaps are a higher-order genera- lization of quantum maps, taking quantum maps to quantum maps. It is known that any completely positive and trace non-increasing (CPTNI) map can be performed as part of a quantum measurement. By providing an explicit counterexample we show that, instead, not every quantum supermap sending a quantum channel to a CPTNI map can be realized in a measurement on quantum channels. We find that the supermaps that can be implemented in this way are exactly those tran… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
21
0

Year Published

2020
2020
2024
2024

Publication Types

Select...
6
1

Relationship

1
6

Authors

Journals

citations
Cited by 15 publications
(22 citation statements)
references
References 80 publications
(139 reference statements)
0
21
0
Order By: Relevance
“…This result shows that the structure of unnormalized maps is much more complex than the structure of unnormalized states, which is one of the reasons why QRTs of channels are often more challenging to formalize than QRTs of states (see also Ref. [17] for a related discussion on this point).…”
Section: Discussion On Cp Imagementioning
confidence: 96%
See 2 more Smart Citations
“…This result shows that the structure of unnormalized maps is much more complex than the structure of unnormalized states, which is one of the reasons why QRTs of channels are often more challenging to formalize than QRTs of states (see also Ref. [17] for a related discussion on this point).…”
Section: Discussion On Cp Imagementioning
confidence: 96%
“…In Ref. [17], the authors introduce the concept of a quantum super-instrument, which is a set of c-CPTNI (completely CP preserving and trace-non-increasing preserving) supermaps {Θ x } such that x Θ x is a superchannel. A quantum super-instrument therefore describes in one sense how a quantum channel can be measured.…”
Section: Ebscs Realized By Measure-and-prepare Superchannelsmentioning
confidence: 99%
See 1 more Smart Citation
“…In theories of dynamical resources, the agent converts different channels by means of a restricted set of supermaps [35,43,[66][67][68][69][70]. In particular, we focus on supermaps that send quantum channels to quantum channels.…”
Section: Introductionmentioning
confidence: 99%
“…A superchannel is a supermap Θ A→B ∈ L (A → B) that takes quantum channels to quantum channels even when tensored with the identity supermap [35,43,[66][67][68][69][70]. More precisely, Θ A→B ∈ L (A → B) is called a superchannel if it satisfies the following two conditions:…”
mentioning
confidence: 99%