Please use this identifier to cite or link to this item:
Title: Small sets of complementary observables
Authors: Grassl, M.
McNulty, D.
Mišta, L.
Paterek, Tomasz
Keywords: Complementary observables
Quantum theory
Issue Date: 2017
Source: Grassl, M., McNulty, D., Mišta, L., & Paterek, T. (2017). Small sets of complementary observables. Physical Review A, 95(1), 012118-.
Series/Report no.: Physical Review A
Abstract: Two observables are called complementary if preparing a physical object in an eigenstate of one of them yields a completely random result in a measurement of the other. We investigate small sets of complementary observables that cannot be extended by yet another complementary observable. We construct explicit examples of unextendible sets up to dimension 16 and conjecture certain small sets to be unextendible in higher dimensions. Our constructions provide three complementary measurements, only one observable away from the ultimate minimum of two. Almost all our examples in finite dimensions are useful for discriminating pure states from some mixed states, and they help to shed light on the complex topology of the Bloch space of higher-dimensional quantum systems.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.95.012118
Rights: © 2017 American Physical Society (APS). This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

Files in This Item:
File Description SizeFormat 
Small sets of complementary observables.pdf201.4 kBAdobe PDFThumbnail

Citations 20

Updated on Aug 31, 2020

Citations 50

Updated on Nov 18, 2020

Page view(s) 50

Updated on Nov 25, 2020

Download(s) 50

Updated on Nov 25, 2020

Google ScholarTM




Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.