Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/6415Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Karthik, H.S. | - |
| dc.contributor.author | Usha Devi, A.R. | - |
| dc.contributor.author | Rajagopal, A.K. | - |
| dc.date.accessioned | 2016-09-29T07:43:24Z | - |
| dc.date.available | 2016-09-29T07:43:24Z | - |
| dc.date.issued | 2015-12 | - |
| dc.identifier.citation | Current Science, 2015, Vol.109, p2061 | en_US |
| dc.identifier.issn | 0011-3891 | - |
| dc.identifier.uri | http://hdl.handle.net/2289/6415 | - |
| dc.description | Open Access | en_US |
| dc.description.abstract | We give an overview of joint unsharp measurements of non-commuting observables using positive operator valued measures (POVMs). We exemplify the role played by joint measurability of POVMs in entropic uncertainty relation for Alice's pair of non-commuting observables in the presence of Bob's entangled quantum memory. We show that Bob should record the outcomes of incompatible (non-jointly measurable) POVMs in his quantum memory so as to beat the entropic uncertainty bound. In other words, in addition to the presence of entangled Alice-Bob state, implementing incompatible POVMs at Bob's end is necessary to beat the uncertainty bound and hence, predict the outcomes of non-commuting observables with improved precision. We also explore the implications of joint measurability to {\em validate} a moment matrix constructed from average pairwise correlations of three dichotomic non-commuting qubit observables. We prove that a classically acceptable moment matrix -- which ascertains the existence of a legitimate joint probability distribution for the outcomes of all the three dichotomic observables -- could be realized if and only if compatible POVMs are employed. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Indian Academy of Sciences, Bangalore, India. | en_US |
| dc.relation.uri | http://arxiv.org/abs/1505.04246 | en_US |
| dc.rights | 2015 Indian Academy of Sciences | en_US |
| dc.title | Unsharp measurements and joint measurability | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Research Papers (LAMP) | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2015_CS_109_2061.pdf | Open Access | 337.03 kB | Adobe PDF | View/Open |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.