{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,17]],"date-time":"2025-09-17T14:44:08Z","timestamp":1758120248207,"version":"3.28.0"},"reference-count":37,"publisher":"IEEE","license":[{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,11]]},"DOI":"10.1109\/anzcc47194.2019.8945608","type":"proceedings-article","created":{"date-parts":[[2020,1,3]],"date-time":"2020-01-03T01:32:37Z","timestamp":1578015157000},"page":"179-184","source":"Crossref","is-referenced-by-count":6,"title":["A Karhunen-Loeve Expansion for One-mode Open Quantum Harmonic Oscillators Using the Eigenbasis of the Two-point Commutator Kernel"],"prefix":"10.1109","author":[{"given":"Igor G.","family":"Vladimirov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matthew R.","family":"James","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ian R.","family":"Petersen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref33","first-page":"482","article-title":"Risk-sensitive performance criteria and robustness of quantum systems with a relative entropy description of state uncertainty","author":"vladimirov","year":"2018","journal-title":"23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018) Hong Kong University of Science and Technology"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-018-9512-y"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2013.03.004"},{"key":"ref30","doi-asserted-by":"crossref","DOI":"10.1201\/9781482288162","author":"vladimirov","year":"2002","journal-title":"Methods of the Theory of Generalized Functions"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2009571"},{"key":"ref36","article-title":"A quantum Karhunen-Loeve expansion and quadratic-exponential functionals for linear quantum stochastic systems","author":"vladimirov","year":"2019","journal-title":"58th Conference on Decision and Control (CDC)"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611975758.6"},{"key":"ref34","article-title":"Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states","author":"vladimirov","year":"2018","journal-title":"Infin Dimen Anal Quant Probab Related Topics"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2017.0226"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2010.01.009"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.69.032108"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1088\/1464-4266\/7\/10\/002"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.929378"},{"journal-title":"Brownian Motion and Stochastic Calculus","year":"1991","author":"karatzas","key":"ref15"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.23919\/ECC.2009.7074743"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0084701"},{"key":"ref18","first-page":"3","article-title":"Variational methods of solution of problems of mathematical physics","volume":"5","author":"mikhlin","year":"1950","journal-title":"Uspekhi Mat Nauk"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.04.018"},{"journal-title":"Modern Quantum Mechanics","year":"1994","author":"sakurai","key":"ref28"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2006.377440"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.2174\/1874444301608010067"},{"key":"ref3","first-page":"425","article-title":"Some properties of quantum Lévy area in Fock and non-Fock quantum stochastic calculus","volume":"33","author":"chen","year":"2013","journal-title":"Prob Math Stat"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/3-7643-7575-2"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.07.070"},{"journal-title":"Matrix Analysis","year":"2007","author":"horn","key":"ref5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61921-2"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1515\/9781400882427"},{"key":"ref2","first-page":"139","article-title":"Stochastic control of operator-valued processes in boson Fock space","volume":"4","author":"boukas","year":"1996","journal-title":"Russian J Math Phys"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01258530"},{"key":"ref1","first-page":"283","article-title":"Normally ordered disentanglement of multidimensional Schrödinger algebra exponentials","volume":"12","author":"accardi","year":"2018","journal-title":"Commun Stoch Anal"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-55201-9"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0058340"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.3390\/e12051194"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.31390\/cosa.4.2.02"},{"journal-title":"An Introduction to Quantum Stochastic Calculus","year":"1992","author":"parthasarathy","key":"ref23"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1142\/S021902571550023X"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s13226-015-0157-0"}],"event":{"name":"2019 Australian & New Zealand Control Conference (ANZCC)","start":{"date-parts":[[2019,11,27]]},"location":"Auckland, New Zealand","end":{"date-parts":[[2019,11,29]]}},"container-title":["2019 Australian & New Zealand Control Conference (ANZCC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8943074\/8945514\/08945608.pdf?arnumber=8945608","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,15]],"date-time":"2022-07-15T03:12:54Z","timestamp":1657854774000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8945608\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11]]},"references-count":37,"URL":"https:\/\/doi.org\/10.1109\/anzcc47194.2019.8945608","relation":{},"subject":[],"published":{"date-parts":[[2019,11]]}}}