文摘
Let lsi1" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304462&_mathId=si1.gif&_user=111111111&_pii=S0022247X16304462&_rdoc=1&_issn=0022247X&md5=216722b88a835a1cb2985b8b14701e3e" title="Click to view the MathML source">m,n≥2lass="mathContainer hidden">lass="mathCode"> be positive integers and let lsi2" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304462&_mathId=si2.gif&_user=111111111&_pii=S0022247X16304462&_rdoc=1&_issn=0022247X&md5=219d3e94864619b2e8261a1089ed5d09" title="Click to view the MathML source">Hnlass="mathContainer hidden">lass="mathCode"> be the set of lsi3" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304462&_mathId=si3.gif&_user=111111111&_pii=S0022247X16304462&_rdoc=1&_issn=0022247X&md5=611dc687009b172d410fb7678924c7ff" title="Click to view the MathML source">n×nlass="mathContainer hidden">lass="mathCode"> complex Hermitian matrices. We study linear maps lsi219" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304462&_mathId=si219.gif&_user=111111111&_pii=S0022247X16304462&_rdoc=1&_issn=0022247X&md5=3e455dd8bfe1c10cff3effdd09850711" title="Click to view the MathML source">ϕ:Hmn→Hmnlass="mathContainer hidden">lass="mathCode"> satisfying lsi48" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304462&_mathId=si48.gif&_user=111111111&_pii=S0022247X16304462&_rdoc=1&_issn=0022247X&md5=2d63517a9d1b82009e2b0401df3e61d8" title="Click to view the MathML source">det(A⊗B)=det(ϕ(A⊗B))lass="mathContainer hidden">lass="mathCode"> for all lsi220" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304462&_mathId=si220.gif&_user=111111111&_pii=S0022247X16304462&_rdoc=1&_issn=0022247X&md5=925319a30ff3b9fd41318dbd148e5ef0" title="Click to view the MathML source">A∈Hmlass="mathContainer hidden">lass="mathCode">, lsi131" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304462&_mathId=si131.gif&_user=111111111&_pii=S0022247X16304462&_rdoc=1&_issn=0022247X&md5=94b83c8260aa7bce28877f2d1f051d39" title="Click to view the MathML source">B∈Hnlass="mathContainer hidden">lass="mathCode">. The connection of the problem to quantum information science is mentioned.