<bibliography>
 <citation type="article" key="abramskyblutepanangaden:nuclearideals">
  <author>Samson Abramsky</author>
  <author>Richard Blute</author>
  <author>Prakhash Panangaden</author>
  <year>1999</year>
  <title>Nuclear and trace ideals in tensored *-categories</title>
  <journal>Journal of Pure and Applied Algebra</journal>
  <volume>143</volume>
  <pages>3&#8211;47</pages>
  <doi>10.1016/S0022-4049(98)00106-6</doi>
 </citation>
 <citation type="inproceedings" key="abramskycoecke:categoricalsemantics">
  <author>Samson Abramsky</author>
  <author>Bob Coecke</author>
  <year>2004</year>
  <title>A categorical semantics of quantum protocols</title>
  <booktitle>Logic in Computer Science 19</booktitle>
  <publisher>IEEE Computer Society</publisher>
  <pages>415&#8211;425</pages>
  <doi>10.1109/LICS.2004.1319636</doi>
 </citation>
 <citation type="techreport" key="coecke:mix">
  <author>Bob Coecke</author>
  <year>2007</year>
  <title>Complete positivity without positivity and without compactness</title>
  <type>Technical Report</type>
  <number>PRG-RR-07-05</number>
  <institution>Oxford University Computing Laboratory</institution>
  <url>http://www.cs.ox.ac.uk/techreports/oucl/RR-07-05.html</url>
 </citation>
 <citation type="article" key="coecke:projective">
  <author>Bob Coecke</author>
  <year>2007</year>
  <title>De-linearizing Linearity: Projective Quantum Axiomatics From Strong Compact Closure</title>
  <journal>Electronic Notes in Theoretical Computer Science</journal>
  <volume>170</volume>
  <pages>49&#8211;72</pages>
  <doi>10.1016/j.entcs.2006.12.011</doi>
 </citation>
 <citation type="article" key="coecke:selinger">
  <author>Bob Coecke</author>
  <year>2008</year>
  <title>Axiomatic Description of Mixed States From Selinger's CPM-construction</title>
  <journal>Electronic Notes in Theoretical Computer Science</journal>
  <volume>210</volume>
  <pages>3&#8211;13</pages>
  <doi>10.1016/j.entcs.2008.04.014</doi>
 </citation>
 <citation type="inproceedings" key="coeckepaquette:naimark">
  <author>Bob Coecke</author>
  <author>&#201;ric O. Paquette</author>
  <year>2008</year>
  <title>POVMs and Naimark's theorem without sums</title>
  <booktitle>QPL IV</booktitle>
  <series>ENTCS</series>
  <volume>210</volume>
  <pages>15&#8211;31</pages>
  <doi>10.1016/j.entcs.2008.04.015</doi>
 </citation>
 <citation type="incollection" key="coeckepavlovic:classicalobjects">
  <author>Bob Coecke</author>
  <author>Du&#x0161;ko Pavlovi\'c</author>
  <year>2007</year>
  <title>Quantum measurements without sums</title>
  <booktitle>Mathematics of Quantum Computing and Technology</booktitle>
  <publisher>Taylor and Francis</publisher>
  <pages>559&#8211;596</pages>
  <url>arXiv:quant-ph/0608035</url>
 </citation>
 <citation type="inproceedings" key="coeckeperdrix:channels">
  <author>Bob Coecke</author>
  <author>Simon Perdrix</author>
  <year>2010</year>
  <title>Environment and classical channels in categorical quantum mechanics</title>
  <booktitle>CSL'10/EACSL'10</booktitle>
  <publisher>Springer</publisher>
  <pages>230&#8211;244</pages>
  <url>http://dl.acm.org/citation.cfm?id=1887459.1887481</url>
 </citation>
 <citation type="book" key="conway:operatortheory">
  <author>John B. Conway</author>
  <year>2000</year>
  <title>A course in operator theory</title>
  <publisher>American Mathematical Society</publisher>
 </citation>
 <citation type="book" key="dixmier:vonneumann">
  <author>Jacques Dixmier</author>
  <year>1969</year>
  <title>Von Neumann algebras</title>
  <publisher>North-Holland</publisher>
 </citation>
 <citation type="article" key="heunen:compactlyaccessible">
  <author>Chris Heunen</author>
  <year>2008</year>
  <title>Compactly accessible categories and quantum key distribution</title>
  <journal>Logical Methods in Computer Science</journal>
  <volume>4</volume>
  <number>4</number>
  <doi>10.2168/LMCS-4(4:9)2008</doi>
 </citation>
 <citation type="article" key="heunen:embedding">
  <author>Chris Heunen</author>
  <year>2009</year>
  <title>An embedding theorem for Hilbert categories</title>
  <journal>Theory and Applications of Categories</journal>
  <volume>22</volume>
  <number>13</number>
  <pages>321&#8211;344</pages>
  <url>http://www.tac.mta.ca/tac/volumes/22/13/22-13abs.html</url>
 </citation>
 <citation type="inproceedings" key="heunenboixo:cpfrob">
  <author>Chris Heunen</author>
  <author>Sergio Boixo</author>
  <year>2011</year>
  <title>Completely positive classical structures and sequentializable quantum protocols</title>
  <booktitle>QPL VIII</booktitle>
 </citation>
 <citation type="book" key="holevo:statistical">
  <author>Alexander S. Holevo</author>
  <year>2001</year>
  <title>Statistical structure of quantum theory</title>
  <publisher>Springer</publisher>
 </citation>
 <citation type="article" key="joyalstreet:tensorcalculus">
  <author>A. Joyal</author>
  <author>R. Street</author>
  <year>1991</year>
  <title>The geometry of tensor calculus I</title>
  <journal>Advances in Mathematics</journal>
  <volume>88</volume>
  <pages>55&#8211;112</pages>
  <doi>10.1016/0001-8708(91)90003-P</doi>
 </citation>
 <citation type="article" key="kellylaplaza:compactcategories">
  <author>G. Max Kelly</author>
  <author>Miguel L. Laplaza</author>
  <year>1980</year>
  <title>Coherence for compact closed categories</title>
  <journal>Journal of Pure and Applied Algebra</journal>
  <volume>19</volume>
  <pages>193&#8211;213</pages>
  <doi>10.1016/0022-4049(80)90101-2</doi>
 </citation>
 <citation type="book" key="paulsen:completelypositive">
  <author>Vern Paulsen</author>
  <year>2002</year>
  <title>Completely bounded maps and operators algebras</title>
  <publisher>Cambridge University Press</publisher>
 </citation>
 <citation type="inproceedings" key="selinger:completelypositive">
  <author>Peter Selinger</author>
  <year>2007</year>
  <title>Dagger compact closed categories and completely positive maps</title>
  <booktitle>Quantum Programming Languages</booktitle>
  <series>ENTCS</series>
  <volume>170</volume>
  <publisher>Elsevier</publisher>
  <pages>139&#8211;163</pages>
  <doi>10.1016/j.entcs.2006.12.018</doi>
 </citation>
 <citation type="inproceedings" key="selinger:graphicallanguages">
  <author>Peter Selinger</author>
  <year>2010</year>
  <title>A survey of graphical languages for monoidal categories</title>
  <booktitle>New Structures for Physics</booktitle>
  <series>Lecture Notes in Physics</series>
  <volume>813</volume>
  <publisher>Springer</publisher>
  <pages>289&#8211;355</pages>
 </citation>
 <citation type="article" key="stinespring:positive">
  <author>W. Forrest Stinespring</author>
  <year>1955</year>
  <title>Positive functions on C*-algebras</title>
  <journal>Proceedings of the American Mathematical Society</journal>
  <volume>6</volume>
  <number>2</number>
  <pages>211&#8211;216</pages>
 </citation>
 <citation type="book" key="takesaki:operatoralgebras">
  <author>Masamichi Takesaki</author>
  <year>1979</year>
  <title>Theory of Operator Algebra I</title>
  <series>Encyclopaedia of Mathematical Sciences</series>
  <publisher>Springer</publisher>
 </citation>
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