Quantum Information and Foundations.

510 Pages·2020·12.373 MB·English

by  Giacomo Mauro D'Ariano, Paolo Perinotti

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Foundations
Edited by
Giacomo Mauro D’Ariano and Paolo Perinotti
Printed Edition of the Special Issue Published in Entropy
www.mdpi.com/journal/entropy
Quantum Information and Foundations

Quantum Information and Foundations
SpecialIssueEditors
GiacomoMauroD’Ariano
PaoloPerinotti
MDPI•Basel•Beijing•Wuhan•Barcelona•Belgrade•Manchester•Tokyo•Cluj•Tianjin
SpecialIssueEditors
GiacomoMauroD’Ariano PaoloPerinotti
QUitGroup,Departmentof QUitGroup,Departmentof
Physics,UniversityofPavia Physics,UniversityofPavia
Italy Italy
EditorialOffice
MDPI
St.Alban-Anlage66
4052Basel,Switzerland
ThisisareprintofarticlesfromtheSpecialIssuepublishedonlineintheopenaccessjournalEntropy
(ISSN1099-4300)(availableat: https://www.mdpi.com/journal/entropy/specialissues/quantum
informationfoundations).
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Contents
AbouttheSpecialIssueEditors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix
GiacomoMauroD’ArianoandPaoloPerinotti
QuantumInformationandFoundations
Reprintedfrom:Entropy2020,22,22,doi:10.3390/e22010022 . . . . . . . . . . . . . . . . . . . . . 1
AlessandroBisio,GiacomoMauroD’Ariano,NicolaMosco,PaoloPerinottiandAlessandro
Tosini
SolutionsofaTwo-ParticleInteractingQuantumWalk
Reprintedfrom:Entropy2018,20,435,doi:10.3390/e20060435. . . . . . . . . . . . . . . . . . . . . 9
Marc-OlivierRenou,NicolasGisinandFlorianFro¨wis
Robust Macroscopic Quantum Measurements in the Presence of Limited Control and
Knowledge
Reprintedfrom:Entropy2018,20,39,doi:10.3390/e20010039 . . . . . . . . . . . . . . . . . . . . . 27
LouisH.Kauffman
IterantAlgebra
Reprintedfrom:Entropy2017,19,347,doi:10.3390/e19070347. . . . . . . . . . . . . . . . . . . . . 41
CˇaslavBrukner
ANo-GoTheoremforObserver-IndependentFacts
Reprintedfrom:Entropy2018,20,350,doi:10.3390/e20050350. . . . . . . . . . . . . . . . . . . . . 71
AlexanderWilce
ARoyalRoadtoQuantumTheory(orThereabouts)
Reprintedfrom:Entropy2018,20,227,doi:10.3390/e20040227. . . . . . . . . . . . . . . . . . . . . 81
GiulioChiribella
Agents,Subsystems,andtheConservationofInformation
Reprintedfrom:Entropy2018,20,358,doi:10.3390/e20050358. . . . . . . . . . . . . . . . . . . . . 107
HowardBarnum,Ciara´nM.Lee,CarloMariaScandoloandJohnSelby
RulingoutHigher-OrderInterferencefromPurityPrinciples
Reprintedfrom:Entropy2017,19,253,doi:10.3390/e19060253. . . . . . . . . . . . . . . . . . . . . 161
JohnSelbyandBobCoecke
Leaks:Quantum,Classical,IntermediateandMore
Reprintedfrom:Entropy2017,19,174,doi:10.3390/e19040174. . . . . . . . . . . . . . . . . . . . . 189
AlbertoBarchielli,MatteoGregorattiandAlessandroToigo
Measurement Uncertainty Relations for Position and Momentum: Relative Entropy
Formulation
Reprintedfrom:Entropy2017,19,301,doi:10.3390/e19070301. . . . . . . . . . . . . . . . . . . . . 213
GiovanniAmelino-Camelia
Planck-ScaleSoccer-BallProblem:ACaseofMistakenIdentity
Reprintedfrom:Entropy2017,19,400,doi:10.3390/e19080400. . . . . . . . . . . . . . . . . . . . . 249
MarioArnolfoCiampini,PaoloMataloniandMauroPaternostro
StructureofMultipartiteEntanglementinRandomCluster-LikePhotonicSystems
Reprintedfrom:Entropy2017,19,473,doi:10.3390/e19090473. . . . . . . . . . . . . . . . . . . . . 257
v
A¨minBaumelerandStefanWolf
Non-CausalComputation
Reprintedfrom:Entropy2017,19,326,doi:10.3390/e19070326. . . . . . . . . . . . . . . . . . . . . 269
ChrisHeunen
TheManyClassicalFacesofQuantumStructures
Reprintedfrom:Entropy2017,19,144,doi:10.3390/e19040144. . . . . . . . . . . . . . . . . . . . . 279
PhilippAndresHo¨hn
QuantumTheoryfromRulesonInformationAcquisition
Reprintedfrom:Entropy2017,19,98,doi:10.3390/e19030098 . . . . . . . . . . . . . . . . . . . . . 301
Catalina Curceanu, Hexi SHI, Sergio Bartalucci, Sergio Bertolucci, Massimiliano Bazzi,
CarolinaBerucci,MarioBragadireanu,MichaelCargnelli,AlbertoClozza,LucaDePaolis,
Sergio Di Matteo, Jean-Pierre Egger, Carlo Guaraldo, Mihail Iliescu, Johann Marton,
MatthiasLaubenstein,EdoardoMilotti,MarcoMiliucci,AndreasPichler,DorelPietreanu,
KristianPiscicchia,AlessandroScordo,DianaLauraSirghi,FlorinSirghi,LauraSperandio,
OtonVazquezDoce,EberhardWidmannandJohannZmeskal
TestofthePauliExclusionPrincipleintheVIP-2UndergroundExperiment
Reprintedfrom:Entropy2017,19,300,doi:10.3390/e19070300. . . . . . . . . . . . . . . . . . . . . 319
KristianPiscicchia,AngeloBassi,CatalinaCurceanu,RaffaeleDelGrande,SandroDonadi,
BeatrixC.HiesmayrandAndreasPichler
CSLCollapseModelMappedwiththeSpontaneousRadiation
Reprintedfrom:Entropy2017,19,319,doi:10.3390/e19070319. . . . . . . . . . . . . . . . . . . . . 327
RobertB.Griffiths
QuantumInformation:WhatIsItAllAbout?
Reprintedfrom:Entropy2017,19,645,doi:10.3390/e19120645. . . . . . . . . . . . . . . . . . . . . 335
BenjaminF.Dribus
EntropicPhaseMapsinDiscreteQuantumGravity
Reprintedfrom:Entropy2017,19,322,doi:10.3390/e19070322. . . . . . . . . . . . . . . . . . . . . 347
YangyangWang,XiaofeiQiandJinchuanHou
NonclassicalitybyLocalGaussianUnitaryOperationsforGaussianStates
Reprintedfrom:Entropy2018,20,266,doi:10.3390/e20040266 . . . . . . . . . . . . . . . . . . . . 395
KevinVanslette
EntropicUpdatingofProbabilitiesandDensityMatrices
Reprintedfrom:Entropy2017,19,664,doi:10.3390/e19120664. . . . . . . . . . . . . . . . . . . . . 409
AndriyanBayuSuksmono
FindingaHadamardMatrixbySimulatedQuantumAnnealing
Reprintedfrom:Entropy2018,20,141,doi:10.3390/e20020141. . . . . . . . . . . . . . . . . . . . . 433
AmenehArjmandzadehandMajidYarahmadi
QuantumGeneticLearningControlofQuantumEnsembleswithHamiltonianUncertainties
Reprintedfrom:Entropy2017,19,376,doi:10.3390/e19080376. . . . . . . . . . . . . . . . . . . . . 447
LucasKocia,YifeiHuang,PeterLove
DiscreteWignerFunctionDerivationoftheAaronson—GottesmanTableauAlgorithm
Reprintedfrom:Entropy2017,19,353,doi:10.3390/e19070353. . . . . . . . . . . . . . . . . . . . . 459
vi
AlainDevilleandYannickDeville
Concepts and Criteria for Blind Quantum Source Separation and Blind Quantum Process
Tomography
Reprintedfrom:Entropy2017,19,311,doi:10.3390/e19070311. . . . . . . . . . . . . . . . . . . . . 477
vii

About the Special Issue Editors
Giacomo Mauro D’Ariano is full professor at Pavia University, where he teaches Quantum
Mechanics and Foundations of Quantum Theory, and leads the group QUit. He is a fellow of
the American Physical Society and of the Optical Society of America, a member of the Academy
IstitutoLombardoofScienzeeLettere,oftheCenterforPhotonicCommunicationandComputing
atNorthwesternIL,andofFQXi. Heisthe(co)authorofmorethan350articlesinpeer-reviewed
physicsjournals. HestartedQuantumInformationinItaly, wherehecreatedaschoolthatspread
scholarsworldwide.
Paolo Perinotti is an associate professor at the Physics Department of Pavia University. He
teaches “Theoretical physics and information theory” and “Statistical Mechanics”. His research
activityisfocusedonquantuminformationtheory,quantumfoundations,andquantummechanics.
In2016hewasawardedtheBirkhoffVonNeumannprizeforresearchesinQuantumFoundations.
HeisamemberoftheFoundationalQuestionsInstitute(FQXi),andoftheInternationalQuantum
StructuresAssociation.
ix