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<node TEXT="Control error propagation" ID="ID_1993082238" CREATED="1373433222309" MODIFIED="1373433286097">
<node TEXT="transversal gates" ID="ID_1454320942" CREATED="1373433287923" MODIFIED="1373433320074"/>
<node TEXT="Quotient group" ID="ID_1888676382" CREATED="1373433321151" MODIFIED="1373433337983"/>
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<node TEXT="Features" ID="ID_1389838816" CREATED="1372793527834" MODIFIED="1372793531545">
<node TEXT="Valid to linear combination of states" ID="ID_935534660" CREATED="1372793533770" MODIFIED="1372793553062"/>
<node TEXT="Differences from Classical error corrections" ID="ID_1807313669" CREATED="1372793954123" MODIFIED="1372793979912"/>
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<node TEXT="QEC constructions" ID="ID_535858959" CREATED="1372793793912" MODIFIED="1372793804151">
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<node TEXT="5-qubit code" ID="ID_96385228" CREATED="1372793815405" MODIFIED="1372793823448"/>
<node TEXT="7-qubit code" ID="ID_771779431" CREATED="1372793824088" MODIFIED="1372793831608"/>
<node TEXT="9-qubit Shor code" ID="ID_716833071" CREATED="1372793832087" MODIFIED="1372793892408"/>
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<node TEXT="Topological codes" ID="ID_1819005860" CREATED="1372793839707" MODIFIED="1372793849862">
<node TEXT="Toric code" ID="ID_764812378" CREATED="1372793853146" MODIFIED="1372793858072"/>
<node TEXT="Surface code" ID="ID_796856427" CREATED="1372793858731" MODIFIED="1372793870327">
<node TEXT="Graph problem" ID="ID_885503687" CREATED="1373479326343" MODIFIED="1373479331243"/>
<node TEXT="creating scalable logical qubits" ID="ID_1105064056" CREATED="1373479334263" MODIFIED="1373479361050"/>
<node TEXT="Moving logical qubits" ID="ID_655930995" CREATED="1373479362664" MODIFIED="1373479369626"/>
<node TEXT="Cut and correct errors" ID="ID_1406307930" CREATED="1373483197510" MODIFIED="1373483207631"/>
<node TEXT="Feasibility of low error rates" ID="ID_247386826" CREATED="1373489224982" MODIFIED="1373489238713">
<node TEXT="2D nearest neighboring ~1% threshold" ID="ID_422334143" CREATED="1373489514630" MODIFIED="1373489552711"/>
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<node TEXT="Low-overhead logical Hadamand/S gates" ID="ID_239377835" CREATED="1373489259975" MODIFIED="1373489294634"/>
<node TEXT="e.g.: Logical CNOT gate, drag and turns into X-cut CNOT, gate teleportation" ID="ID_524635309" CREATED="1373479378390" MODIFIED="1373479441599"/>
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<node TEXT="Color code" ID="ID_889409448" CREATED="1372793870796" MODIFIED="1372793875382"/>
<node TEXT="Topological quantum computing" ID="ID_1827353854" CREATED="1373489300678" MODIFIED="1373489314090">
<node TEXT="Dragging path=quantum gate" ID="ID_1275228570" CREATED="1373489314790" MODIFIED="1373489326409"/>
<node TEXT="QC=Turning on the right pattern of patches" ID="ID_242304090" CREATED="1373489564249" MODIFIED="1373489609626"/>
<node TEXT="Bridge compression" ID="ID_1832816110" CREATED="1373489336551" MODIFIED="1373489346008">
<node TEXT="game: www.mequanics.com" ID="ID_402098603" CREATED="1373489347015" MODIFIED="1373489359193"/>
</node>
<node TEXT="Time-optimal quantum computing" ID="ID_283555423" CREATED="1373489368775" MODIFIED="1373489379161">
<node TEXT="Clifford gate can be implemented without time cost but volume cost" ID="ID_1289393099" CREATED="1373489387126" MODIFIED="1373489417977"/>
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<node TEXT="Fault Tolerance circuits" ID="ID_276249735" CREATED="1373433424329" MODIFIED="1373433445514">
<node TEXT="Error rate propagation" ID="ID_558789077" CREATED="1373433447823" MODIFIED="1373433477541"/>
<node TEXT="Threshold theorem" ID="ID_404978718" CREATED="1373433479834" MODIFIED="1373433495107"/>
<node TEXT="Assumption of FT" ID="ID_387463233" CREATED="1373433495575" MODIFIED="1373433508351">
<node TEXT="Fast measurements and reliable classical computation (not necessary)" ID="ID_315387128" CREATED="1373433509427" MODIFIED="1373433559113"/>
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<node TEXT="Long range gates (not necessary)" ID="ID_1181072456" CREATED="1373433570782" MODIFIED="1373433585072"/>
<node TEXT="No big error correlations" ID="ID_1900582591" CREATED="1373433585571" MODIFIED="1373433598472"/>
<node TEXT="Fresh ancillas (redo)" ID="ID_1703296352" CREATED="1373433598925" MODIFIED="1373433613901"/>
<node TEXT="No leakage errors (not necessary)" ID="ID_351563163" CREATED="1373433615476" MODIFIED="1373433632980">
<node TEXT="Leakage/loss can be compensated by adding extra gates" ID="ID_525297485" CREATED="1373489449495" MODIFIED="1373489496503"/>
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<node TEXT="Demonstrations" ID="ID_25012748" CREATED="1373489644471" MODIFIED="1373489650138">
<node TEXT="To show FT QC, we need at least 10 qubits in surface code." ID="ID_1310406214" CREATED="1373489651223" MODIFIED="1373489676201"/>
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</node>
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<node TEXT="Entanglement manipulation" ID="ID_1700922374" CREATED="1373486514231" MODIFIED="1373486522154">
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<node TEXT="Separability-preserved (SEPP) map--&gt;LOCC" ID="ID_736039781" CREATED="1373486562390" MODIFIED="1373486599191"/>
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<node TEXT="Correlation in space and time" FOLDED="true" ID="ID_299177401" CREATED="1372793232265" MODIFIED="1372793240053">
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<node TEXT="Correlation in quantum optics" FOLDED="true" ID="ID_359150432" CREATED="1372793302907" MODIFIED="1372793359781">
<node TEXT="EIT" ID="ID_914601620" CREATED="1372793362120" MODIFIED="1372793364456"/>
<node TEXT="Antibunching and bunching" ID="ID_599288793" CREATED="1372793365930" MODIFIED="1372793377063"/>
<node TEXT="Coherent measurement and information processing" ID="ID_1720677728" CREATED="1372793390584" MODIFIED="1372793421207"/>
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</node>
</node>
<node TEXT="Statistical nature of QI" ID="ID_1457389551" CREATED="1372659460207" MODIFIED="1372659472520">
<node TEXT="Quantum noise and chaos" ID="ID_112012926" CREATED="1372739827936" MODIFIED="1372739844397">
<node TEXT="Noise and disturbance in quantum measurements: an information-theoretic&#xd; approach" ID="ID_1752742102" CREATED="1385514410804" MODIFIED="1385514425390" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/Buscemi2013.pdf" TEXT_SHORTENED="true">
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<node TEXT="Pure states and mixed states" FOLDED="true" ID="ID_1336356792" CREATED="1372739849021" MODIFIED="1372739902984">
<node TEXT="Density matrix presentation" ID="ID_692245527" CREATED="1372739908623" MODIFIED="1372739929456"/>
<node TEXT="Mode-square property of quantum statistics" ID="ID_544807987" CREATED="1372739932339" MODIFIED="1372740004315"/>
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<node TEXT="Quantum measurements" ID="ID_6714496" CREATED="1372740023395" MODIFIED="1372740062045">
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<node TEXT="POVM" ID="ID_127431704" CREATED="1372740097036" MODIFIED="1372740105623"/>
<node TEXT="Maximum fidelity problems" ID="ID_147803251" CREATED="1372740106367" MODIFIED="1372740153424"/>
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<node TEXT="Statistical Fundations of quantum mechanics" ID="ID_180529079" CREATED="1385404355241" MODIFIED="1385409950811">
<node TEXT="QBism" ID="ID_947377591" CREATED="1385404372713" MODIFIED="1385411461908">
<node TEXT="Quantum-Bayesian Coherence: The No-Nonsense Version" ID="ID_366618409" CREATED="1385411418800" MODIFIED="1385411428854" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/Fuchs2013a.pdf" TEXT_SHORTENED="true" MOVED="1385411434463">
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<node TEXT="Review of QBism and locality" ID="ID_1226338863" CREATED="1385404403177" MODIFIED="1385404508646" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/Fuchs2013.pdf" TEXT_SHORTENED="true">
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<attribute NAME="title" VALUE="{An Introduction to QBism with an Application to the Locality of Quantum Mechanics}"/>
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<node TEXT="Priors in Quantum Bayesian Inference" ID="ID_1857722056" CREATED="1385410635329" MODIFIED="1385410646002" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/Fuchs2009.pdf" TEXT_SHORTENED="true">
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<node TEXT="Quantum-Bayesian Coherence" ID="ID_1506309797" CREATED="1385410873888" MODIFIED="1385410885716" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/Fuchs2009a.pdf" TEXT_SHORTENED="true">
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<node TEXT="Properties of QBist State Spaces" ID="ID_1480088977" CREATED="1385411058626" MODIFIED="1385411069924" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/Appleby2009.pdf" TEXT_SHORTENED="true">
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<attribute NAME="authors" VALUE="{Appleby}, D.~M. and {Ericsson}, A. and {Fuchs}, C.~A."/>
<attribute NAME="title" VALUE="{Properties of QBist State Spaces}"/>
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    <pdf_title>Properties of QBist State Spaces</pdf_title>
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<node TEXT="A Quantum-Bayesian Route to Quantum-State Space" ID="ID_139013377" CREATED="1385411193202" MODIFIED="1385411205875" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/Fuchs2011.pdf" TEXT_SHORTENED="true">
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<attribute NAME="title" VALUE="{A Quantum-Bayesian Route to Quantum-State Space}"/>
<attribute NAME="year" VALUE="2011"/>
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    <pdf_title>{}</pdf_title>
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<node TEXT="Some other articles" ID="ID_114477" CREATED="1385513792630" MODIFIED="1385513805868">
<node TEXT="Quantum Probability Theory and the Foundations of Quantum Mechanics" ID="ID_1056337187" CREATED="1385513829054" MODIFIED="1385513841434" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/Frohlich2013.pdf" TEXT_SHORTENED="true">
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<attribute NAME="authors" VALUE="{Fr{\&quot;o}hlich}, J. and {Schubnel}, B."/>
<attribute NAME="title" VALUE="{Quantum Probability Theory and the Foundations of Quantum Mechanics}"/>
<attribute NAME="year" VALUE="2013"/>
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    <pdf_title>X O</pdf_title>
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</node>
</node>
<node TEXT="Other perspectives of quantum fundations" ID="ID_592141146" CREATED="1387576638568" MODIFIED="1387576654171">
<node TEXT="Relative-state formulations of quantum mechanics" ID="ID_1909973863" CREATED="1387576655911" MODIFIED="1387576694388" LINK="project://13FA727FDA42AATC45LPZ5G3LUB2K3USM83Q/../../../References/Archive/EverettIII1957.pdf" TEXT_SHORTENED="true">
<attribute NAME="key" VALUE="EverettIII1957"/>
<attribute NAME="journal" VALUE="Reviews of modern physics"/>
<attribute NAME="authors" VALUE="Everett III, Hugh"/>
<attribute NAME="title" VALUE="&quot; Relative state&quot; formulation of quantum mechanics"/>
<attribute NAME="year" VALUE="1957"/>
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    <pdf_title>&quot;:</pdf_title>
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</node>
</node>
<node TEXT="Quantum information storage" FOLDED="true" ID="ID_1217782890" CREATED="1372743396565" MODIFIED="1372788005096">
<node TEXT="Storage format or organization" ID="ID_528978252" CREATED="1372788073322" MODIFIED="1372788097207"/>
<node TEXT="On-site storage" ID="ID_447335804" CREATED="1372788097706" MODIFIED="1372788113412"/>
<node TEXT="Short period storage" ID="ID_264852047" CREATED="1372788114186" MODIFIED="1372824060705"/>
<node TEXT="Long period storage" ID="ID_592470617" CREATED="1372788127648" MODIFIED="1372824067905"/>
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<node TEXT="Information load and readout" ID="ID_1894583141" CREATED="1372788306729" MODIFIED="1372788322980" MOVED="1372793031808"/>
<node TEXT="Relativistic QI theory" FOLDED="true" ID="ID_919592165" CREATED="1372739145823" MODIFIED="1373486739540">
<node TEXT="Relativisty correction to QI" ID="ID_1941485866" CREATED="1372739186712" MODIFIED="1373486753705">
<node TEXT="Theories" ID="ID_898202856" CREATED="1372740637205" MODIFIED="1372740643726">
<node TEXT="Relativistic entanglement correction" ID="ID_456467454" CREATED="1373434032278" MODIFIED="1373434055522">
<node TEXT="Covariance matrix formalism" ID="ID_1918755814" CREATED="1373434057160" MODIFIED="1373434069562">
<node TEXT="Define operators" ID="ID_1400291077" CREATED="1373434226966" MODIFIED="1373434236030"/>
<node TEXT="commutators" ID="ID_256403360" CREATED="1373434236607" MODIFIED="1373434248120"/>
<node TEXT="symplectic matrix/form" ID="ID_291285524" CREATED="1373434258447" MODIFIED="1373434309662"/>
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<node TEXT="Entanglement in a moving frame" ID="ID_842726634" CREATED="1373483499125" MODIFIED="1373483525946">
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<node TEXT="Accelerating region II" ID="ID_99941696" CREATED="1373483536054" MODIFIED="1373483547575"/>
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<node TEXT="Unruh transformation and Unruh basis" ID="ID_387514940" CREATED="1373483571350" MODIFIED="1373483605034"/>
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<node TEXT="Motion and gravity created entanglement" ID="ID_322334104" CREATED="1373487197815" MODIFIED="1373487213035"/>
<node TEXT="Entanglement resonances" ID="ID_1151746501" CREATED="1373487225302" MODIFIED="1373487242743">
<node TEXT="from phase change due to Bogoliubov transformation when acceleration changes." ID="ID_816855263" CREATED="1373487243895" MODIFIED="1373487276442"/>
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<node TEXT="Multi-partite cases" ID="ID_832972330" CREATED="1373487310006" MODIFIED="1373487337994">
<node TEXT="Rob accelerates--&gt;entanglement creation" ID="ID_1430882886" CREATED="1373487356472" MODIFIED="1373487376682"/>
<node TEXT="Sudden stops--&gt;entanglement degrades (use proper time to correct)" ID="ID_1014637201" CREATED="1373487377015" MODIFIED="1373487410264"/>
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<node TEXT="Quantum gates in motion" ID="ID_1343327819" CREATED="1373487296566" MODIFIED="1373487303499"/>
<node TEXT="e.g.: Gaussian states (squeezing, coherent states, etc) represented by covariance matrix form" ID="ID_1798930172" CREATED="1373434074476" MODIFIED="1373434322267">
<node TEXT="Computable measures for ent if the covariance matrix is Gaussian" ID="ID_45125213" CREATED="1373434331892" MODIFIED="1373434374028"/>
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<node TEXT="Quantum Field Theory framework" ID="ID_1290719294" CREATED="1373434111776" MODIFIED="1373434126736">
<node TEXT="Klein-Golden equation" ID="ID_994181743" CREATED="1373434128312" MODIFIED="1373434139403"/>
<node TEXT="Killing vector field and light cone" ID="ID_362681135" CREATED="1373434396429" MODIFIED="1373434416834"/>
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<node TEXT="\latex problem: negative \omega and ill-defined subsys/particles" ID="ID_1642014929" CREATED="1373434457566" MODIFIED="1373434515520"/>
<node TEXT="Minkowski field and Minkowski vaccum" ID="ID_1872992551" CREATED="1373483324518" MODIFIED="1373483347995"/>
<node TEXT="Two-mode squeezed state" ID="ID_928978007" CREATED="1373483348631" MODIFIED="1373483385514"/>
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<node TEXT="Bogoliubov transformation" ID="ID_1574172527" CREATED="1373434524942" MODIFIED="1373487066990">
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<node TEXT="e.g.: Accelerating field and particle creation" ID="ID_12513574" CREATED="1373434541634" MODIFIED="1373434578903">
<node TEXT="Accelerate BEC system in space to study particle creation and entanglement" ID="ID_1965853711" CREATED="1373483760679" MODIFIED="1373483797176"/>
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<node TEXT="Quantum information is physical" ID="ID_1246143250" CREATED="1386795449085" MODIFIED="1386795470170" LINK="http://www.sciencedirect.com/science/article/pii/S0749603697905206" TEXT_SHORTENED="true">
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