<bibliography>
 <citation type="inproceedings" key="abramsky:freecompactcategory">
  <author>Samson Abramsky</author>
  <year>2005</year>
  <title>Abstract Scalars, Loops, and Free Traced and Strongly Compact Closed Categories</title>
  <booktitle>Algebra and Coalgebra in Computer Science</booktitle>
  <series>CALCO'05</series>
  <publisher>Springer</publisher>
  <pages>1&#8211;30</pages>
  <doi>10.1007/115481331</doi>
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 <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>
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 <citation type="article" key="abramskyheunen:hstar">
  <author>Samson Abramsky</author>
  <author>Chris Heunen</author>
  <year>2012</year>
  <title>H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics</title>
  <journal>Clifford Lectures, AMS Proceedings of Symposia in Applied Mathematics</journal>
  <volume>71</volume>
  <pages>1&#8211;24</pages>
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 <citation type="inbook" key="baez:quandaries">
  <author>John C. Baez</author>
  <year>2006</year>
  <title>Structural foundations of quantum gravity</title>
  <chapter>Quantum quandaries: a category-theoretic perspective</chapter>
  <pages>240&#8211;265</pages>
  <publisher>Oxford University Press</publisher>
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 <citation type="article" key="barnumetal:nobroadcasting">
  <author>Howard Barnum</author>
  <author>Jonathan Barrett</author>
  <author>Matthew Leifer</author>
  <author>Alexander Wilce</author>
  <year>2007</year>
  <title>A generalized no-broadcasting theorem</title>
  <journal>Physical Review Letters</journal>
  <volume>99</volume>
  <pages>240501</pages>
  <doi>10.1103/PhysRevLett.99.240501</doi>
 </citation>
 <citation type="book" key="bhatia:positivematrices">
  <author>Rejandra Bhatia</author>
  <year>2007</year>
  <title>Positive definite matrices</title>
  <publisher>Princeton University Press</publisher>
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 <citation type="article" key="boixo_decoherence_2006">
  <author>Sergio Boixo</author>
  <author>Carlton M. Caves</author>
  <author>Animesh Datta</author>
  <author>Anil Shaji</author>
  <year>2006</year>
  <title>On decoherence in quantum clock synchronization</title>
  <journal>Laser Physics</journal>
  <volume>16</volume>
  <number>11</number>
  <pages>1525&#8211;1532</pages>
  <doi>10.1134/S1054660X06110065</doi>
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 <citation type="article" key="boixo_generalized_2007">
  <author>Sergio Boixo</author>
  <author>Steven T. Flammia</author>
  <author>Carlton M. Caves</author>
  <author>John M. Geremia</author>
  <year>2007</year>
  <title>Generalized Limits for Single-Parameter Quantum Estimation</title>
  <journal>Physical Review Letters</journal>
  <volume>98</volume>
  <number>9</number>
  <pages>090401&#8211;4</pages>
  <doi>10.1103/PhysRevLett.98.090401</doi>
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 <citation type="article" key="boixoheunen:prl">
  <author>Sergio Boixo</author>
  <author>Chris Heunen</author>
  <year>2012</year>
  <title>Entangled and sequential quantum protocols with dephasing</title>
  <journal>Physical Review Letters</journal>
  <volume>108</volume>
  <pages>120402</pages>
  <doi>10.1103/PhysRevLett.108.120402</doi>
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 <citation type="article" key="choieffros:injectivity">
  <author>Man-Duen Choi</author>
  <author>Edward G. Effros</author>
  <year>1977</year>
  <title>Injectivity and Operator spaces</title>
  <journal>Journal of Functional Analysis</journal>
  <volume>24</volume>
  <pages>156&#8211;209</pages>
  <doi>10.1016/0022-1236(77)90052-0</doi>
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 <citation type="article" key="coeckeduncan:observables">
  <author>Bob Coecke</author>
  <author>Ross Duncan</author>
  <year>2011</year>
  <title>Interacting quantum observables: categorical algebra and diagrammatics</title>
  <journal>New Journal of Physics</journal>
  <volume>13</volume>
  <number>4</number>
  <pages>043016</pages>
  <doi>10.1088/1367-2630/13/4/043016</doi>
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 <citation type="inproceedings" key="coeckepaquette:practisingphysicist">
  <author>Bob Coecke</author>
  <author>&#201;ric O. Paquette</author>
  <year>2011</year>
  <title>Categories for the practising physicist</title>
  <booktitle>New structures for Physics</booktitle>
  <series>Lecture Notes in Physics</series>
  <volume>813</volume>
  <publisher>Springer</publisher>
  <pages>173&#8211;286</pages>
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 <citation type="article" key="coeckepavlovicvicary:bases">
  <author>Bob Coecke</author>
  <author>Du&#x0161;ko Pavlovi\'c</author>
  <author>Jamie Vicary</author>
  <year>2012</year>
  <title>A new description of orthogonal bases</title>
  <journal>Mathematical Structures in Computer Science</journal>
  <url>arXiv:0810.0812</url>
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 <citation type="article" key="gardner:absolutevalue">
  <author>L. Terrell Gardner</author>
  <year>1979</year>
  <title>Linear maps of C^-algebras preserving the absolute value</title>
  <journal>Proceedings of the American Mathematical Society</journal>
  <volume>76</volume>
  <number>2</number>
  <pages>271&#8211;278</pages>
  <doi>10.1090/S0002-9939-1979-0537087-0</doi>
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 <citation type="article" key="giovannetti_quantum_2006">
  <author>Vittorio Giovannetti</author>
  <author>Seth Lloyd</author>
  <author>Lorenzo Maccone</author>
  <year>2006</year>
  <title>Quantum Metrology</title>
  <journal>Physical Review Letters</journal>
  <volume>96</volume>
  <number>1</number>
  <pages>010401&#8211;4</pages>
  <doi>10.1103/PhysRevLett.96.010401</doi>
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 <citation type="article" key="higgins_entanglement-free_2007">
  <author>Brendon L. Higgins</author>
  <author>Dominic W. Berry</author>
  <author>Stephen D. Bartlett</author>
  <author>Howard M. Wiseman</author>
  <author>Geoff J. Pryde</author>
  <year>2007</year>
  <title>Entanglement-free Heisenberg-limited phase estimation</title>
  <journal>Nature</journal>
  <volume>450</volume>
  <number>7168</number>
  <pages>393&#8211;396</pages>
  <doi>10.1038/nature06257</doi>
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 <citation type="article" key="hoyer_quantum_2003">
  <author>Peter H&#248;yer</author>
  <author>Robert &#x0160;palek</author>
  <year>2005</year>
  <title>Quantum fan-out is powerful</title>
  <journal>Theory of computing</journal>
  <volume>1</volume>
  <pages>81&#8211;103</pages>
  <doi>10.4086/toc.2005.v001a005</doi>
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 <citation type="inproceedings" key="keylwerner:lectures">
  <author>Michael Keyl</author>
  <author>Reinhard F. Werner</author>
  <year>2007</year>
  <title>Channels and maps</title>
  <editor>Dagmar Bru&#223;</editor>
  <editor>Gerd Leuchs</editor>
  <booktitle>Lectures on Quantum Information</booktitle>
  <publisher>Wiley-VCH</publisher>
  <pages>73&#8211;86</pages>
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 <citation type="book" key="kock:frobenius">
  <author>Joachim Kock</author>
  <year>2003</year>
  <title>Frobenius algebras and 2-D Topological Quantum Field Theories</title>
  <series>London Mathematical Society Student Texts</series>
  <volume>59</volume>
  <publisher>Cambridge University Press</publisher>
 </citation>
 <citation type="unpublished" key="mccurdyselinger:basicdaggercompactcategories">
  <author>Micah Blake McCurdy</author>
  <author>Peter Selinger</author>
  <year>2006</year>
  <title>Basic dagger compact closed categories</title>
  <note>Unpublished manuscript, Dalhousie University</note>
 </citation>
 <citation type="article" key="moorenilsson:parallel">
  <author>Cristopher Moore</author>
  <author>Martin Nilsson</author>
  <year>2002</year>
  <title>Parallel quantum computation and quantum codes</title>
  <journal>SIAM Journal on Computing</journal>
  <volume>31</volume>
  <number>3</number>
  <pages>799&#8211;815</pages>
  <doi>10.1137/S0097539799355053</doi>
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 <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="pavlovic:frobeniusinrel">
  <author>Du&#x0161;ko Pavlovi\'c</author>
  <year>2009</year>
  <title>Quantum and classical structures in nondeterministic computation</title>
  <editor>Peter Bruza et al.</editor>
  <booktitle>Third International symposium on Quantum Interaction</booktitle>
  <series>Lecture Notes in Artificial Intelligence</series>
  <volume>5494</volume>
  <publisher>Springer</publisher>
  <pages>143&#8211;157</pages>
  <doi>10.1007/978-3-642-00834-413</doi>
 </citation>
 <citation type="article" key="rudolph_quantum_2003">
  <author>Terry Rudolph</author>
  <author>Lov Grover</author>
  <year>2003</year>
  <title>Quantum Communication Complexity of Establishing a Shared Reference Frame</title>
  <journal>Physical Review Letters</journal>
  <volume>91</volume>
  <number>21</number>
  <pages>217905</pages>
  <doi>10.1103/PhysRevLett.91.217905</doi>
 </citation>
 <citation type="inproceedings" key="selinger:superoperators">
  <author>Peter Selinger</author>
  <year>2004</year>
  <title>Towards a semantics for higher-order quantum computation</title>
  <booktitle>Quantum Programming Languages. TUCS General Publication</booktitle>
  <volume>33</volume>
  <pages>127&#8211;143</pages>
 </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>Electronic Notes in Theoretical Computer Science</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>2011</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>
</bibliography>
