{"id":3077,"date":"2022-03-11T15:00:12","date_gmt":"2022-03-11T15:00:12","guid":{"rendered":"https:\/\/www.isical.ac.in\/~pamu\/?post_type=event&#038;p=3077"},"modified":"2023-06-08T11:58:09","modified_gmt":"2023-06-08T11:58:09","slug":"universal-schemes-for-detecting-entanglement-in-two-mode-gaussian-states-stokes-like-operator-based-approach","status":"publish","type":"event","link":"https:\/\/oldweb.isical.ac.in\/~pamu\/event\/universal-schemes-for-detecting-entanglement-in-two-mode-gaussian-states-stokes-like-operator-based-approach\/","title":{"rendered":"Universal schemes for detecting entanglement in two-mode Gaussian states: Stokes-like operator based approach."},"content":{"rendered":"<p>Detection of entanglement in quantum states is one of the most important problems in quantum information processing. However, it is one of the most challenging tasks to find a universal scheme which is also desired to be optimal to detect entanglement for all states of a specific class &#8211; as always preferred by experimentalist. Although, the topic is well studied, at least in the case of lower dimensional compound systems (e.g., two-qubit systems), but in the case of continuous variable systems, this remains as an open problem. Even in the case of two-mode Gaussian states, the problem is not fully resolved. Here, we try to address this issue. At first, a limited number of Hermitian operators is given to test the necessary and sufficient criterion on the covariance matrix of separable two-mode Gaussian states. Thereafter, we present an interferometric scheme to test the same separability criterion in which the measurements are being done via Stokes-like operators. In such case, we consider only single-copy measurements on a two-mode Gaussian state at a time and the scheme amounts to the full state tomography. Although this latter approach is a linear optics based one, nevertheless it is not an economic scheme. Resource-wise a more economical scheme than the full state tomography can be obtained if we consider measurements on two copies of the two-mode Gaussian state at a time. However, optimality of the scheme is not yet known.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Detection of entanglement in quantum states is one of the most important problems in quantum information processing. However, it is one of the most challenging tasks to find a universal scheme which is also desired to be optimal to detect entanglement for&#8230;<\/p>\n","protected":false},"featured_media":2760,"template":"","categories":[107],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/oldweb.isical.ac.in\/~pamu\/wp-json\/wp\/v2\/event\/3077"}],"collection":[{"href":"https:\/\/oldweb.isical.ac.in\/~pamu\/wp-json\/wp\/v2\/event"}],"about":[{"href":"https:\/\/oldweb.isical.ac.in\/~pamu\/wp-json\/wp\/v2\/types\/event"}],"version-history":[{"count":0,"href":"https:\/\/oldweb.isical.ac.in\/~pamu\/wp-json\/wp\/v2\/event\/3077\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oldweb.isical.ac.in\/~pamu\/wp-json\/wp\/v2\/media\/2760"}],"wp:attachment":[{"href":"https:\/\/oldweb.isical.ac.in\/~pamu\/wp-json\/wp\/v2\/media?parent=3077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/oldweb.isical.ac.in\/~pamu\/wp-json\/wp\/v2\/categories?post=3077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/oldweb.isical.ac.in\/~pamu\/wp-json\/wp\/v2\/tags?post=3077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}