开放系统的量子非马尔科夫性和量子关联的中期报告QuantumNon-MarkovianityandQuantumCorrelationsinOpenSystems:MidtermReportAbstract:Inthismidtermreport,wereviewrecentprogressonthestudyofquantumnon-Markovianityandquantumcorrelationsinopenquantumsystems.Wefirstintroducetheconceptofnon-Markovianity,whichischaracterizedbytheviolationoftheMarkovproperty.Wethenpresentvariousmeasuresofnon-Markovianity,includingthetracedistance,thefidelity,andthedivisibilityofquantumevolutions.Next,wereviewtheconceptofquantumcorrelationsandtheirquantification,includingentanglement,discord,andothermeasures.Wethendiscusstheinterplaybetweennon-Markovianityandquantumcorrelations,andhowtheyimpactthedynamicsandcontrolofopenquantumsystems.Finally,wehighlightsomeoftheopenproblemsandfutureresearchdirectionsinthisfield.Introduction:Thestudyofopenquantumsystemsisanactiveandrapidlygrowingareaofresearchinquantumphysics.Suchsystemsofteninteractwiththeirsurroundingenvironmentandcandisplayawiderangeofcomplexdynamics,includingdecoherence,dissipation,andentanglement.Understandingthesedynamicsiscrucialforthedesignandcontrolofquantumtechnologies,andhasimportantimplicationsforfundamentalquestionsinphysics.Oneofthekeychallengesinthestudyofopenquantumsystemsistocharacterizeandquantifythenon-Markovianityoftheirevolution.Non-Markovianityisameasureofhowmuchmemoryisrequiredtodescribetheevolutionofasystem,andischaracterizedbytheviolationoftheMarkovproperty,whichstatesthatthefutureevolutionofasystemdependsonlyonitscurrentstate,andisindependentofitspasthistory.Inopenquantumsystems,thispropertycanbeviolatedduetotheinteractionbetweenthesystemanditsenvironment,whichcanleadtofeedbackandmemoryeffects.Anotherimportantaspectofopenquantumsystemsisthepresenceofquantumcorrelations,suchasentanglementanddiscord.Thesecorrelationsplayakeyroleinmanyquantumtechnologies,includingquantumcomputationandcommunication,andcanalsoimpactthestabilityandcontrolofopenquantumsystems.Inthismidtermreport,wereviewrecentprogressonthestudyofquantumnon-Markovianityandquantumc