{"id":299,"date":"2023-03-20T13:58:42","date_gmt":"2023-03-20T12:58:42","guid":{"rendered":"https:\/\/web.infn.it\/qub-it\/?page_id=299"},"modified":"2024-05-05T21:49:10","modified_gmt":"2024-05-05T19:49:10","slug":"qubit3dcavity","status":"publish","type":"page","link":"https:\/\/web.infn.it\/qub-it\/qubit3dcavity\/","title":{"rendered":"qubit3Dcavity"},"content":{"rendered":"\n\n\n\n\n\n\n<h6>Superconducting Qubit in a 3D Resonant Cavity<\/h6>\n<p style=\"text-align: center; \"><span style=\"color: rgb(242, 242, 242);\"><img decoding=\"async\" src=\"https:\/\/web.infn.it\/qub-it\/wp-content\/uploads\/2023\/03\/image.png\"><\/span><\/p>\n<p style=\"text-align: center; \">\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><span style=\"mso-ansi-language:EN-US\" lang=\"EN-US\">Fig 1: Half\nresonant cavity in aluminum with qubit inside. Cavity and qubit were fabricated by TII&nbsp; (<a href=\"https:\/\/www.tii.ae\">www.tii.ae<\/a>)<br><\/span><\/p>\n<p style=\"text-align: center; \">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><br><\/p>\r\n\r\n\r\n\r\n\r\n\r\n<p style=\"text-align: center; \"><style>@font-face\r\n\t{font-family:\"Cambria Math\";\r\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:roman;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face\r\n\t{font-family:Calibri;\r\n\tpanose-1:2 15 5 2 2 2 4 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:swiss;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536859905 -1073732485 9 0 511 0;}p.MsoNormal, li.MsoNormal, div.MsoNormal\r\n\t{mso-style-unhide:no;\r\n\tmso-style-qformat:yes;\r\n\tmso-style-parent:\"\";\r\n\tmargin:0cm;\r\n\tmso-pagination:widow-orphan;\r\n\tfont-size:12.0pt;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New Roman\";\r\n\tmso-bidi-theme-font:minor-bidi;\r\n\tmso-fareast-language:EN-US;}.MsoChpDefault\r\n\t{mso-style-type:export-only;\r\n\tmso-default-props:yes;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New Roman\";\r\n\tmso-bidi-theme-font:minor-bidi;\r\n\tmso-fareast-language:EN-US;}div.WordSection1\r\n\t{page:WordSection1;}<\/style><\/p>\n<p style=\"text-align: center; \"><span style=\"color: rgb(242, 242, 242);\"><img decoding=\"async\" src=\"https:\/\/web.infn.it\/qub-it\/wp-content\/uploads\/2023\/03\/image-1.png\"><\/span><\/p>\n<p style=\"text-align: center; \">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><span style=\"mso-ansi-language:EN-US\" lang=\"EN-US\">Fig 2:\r\nResonant cavity with qubit inside mounted on the LNF dilution refrigerator <\/span><\/p>\r\n\r\n\r\n\r\n\r\n\r\n<p class=\"MsoNormal\" style=\"text-align: center;\"><style>@font-face\r\n\t{font-family:\"Cambria Math\";\r\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:roman;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face\r\n\t{font-family:Calibri;\r\n\tpanose-1:2 15 5 2 2 2 4 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:swiss;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536859905 -1073732485 9 0 511 0;}p.MsoNormal, li.MsoNormal, div.MsoNormal\r\n\t{mso-style-unhide:no;\r\n\tmso-style-qformat:yes;\r\n\tmso-style-parent:\"\";\r\n\tmargin:0cm;\r\n\tmso-pagination:widow-orphan;\r\n\tfont-size:12.0pt;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New Roman\";\r\n\tmso-bidi-theme-font:minor-bidi;\r\n\tmso-fareast-language:EN-US;}.MsoChpDefault\r\n\t{mso-style-type:export-only;\r\n\tmso-default-props:yes;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New Roman\";\r\n\tmso-bidi-theme-font:minor-bidi;\r\n\tmso-fareast-language:EN-US;}div.WordSection1\r\n\t{page:WordSection1;}<\/style><\/p>\r\n\r\n\r\n\r\n\r\n\r\n<p style=\"text-align: center; \"><style>@font-face\r\n\t{font-family:\"Cambria Math\";\r\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:roman;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face\r\n\t{font-family:Calibri;\r\n\tpanose-1:2 15 5 2 2 2 4 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:swiss;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536859905 -1073732485 9 0 511 0;}p.MsoNormal, li.MsoNormal, div.MsoNormal\r\n\t{mso-style-unhide:no;\r\n\tmso-style-qformat:yes;\r\n\tmso-style-parent:\"\";\r\n\tmargin:0cm;\r\n\tmso-pagination:widow-orphan;\r\n\tfont-size:12.0pt;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New Roman\";\r\n\tmso-bidi-theme-font:minor-bidi;\r\n\tmso-fareast-language:EN-US;}.MsoChpDefault\r\n\t{mso-style-type:export-only;\r\n\tmso-default-props:yes;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New Roman\";\r\n\tmso-bidi-theme-font:minor-bidi;\r\n\tmso-fareast-language:EN-US;}div.WordSection1\r\n\t{page:WordSection1;}<\/style><\/p>\n<p style=\"text-align: center; \">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><br><\/p>\r\n\r\n\r\n\r\n\r\n\r\n<p style=\"text-align: center; \"><style>@font-face\r\n\t{font-family:\"Cambria Math\";\r\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:roman;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face\r\n\t{font-family:Calibri;\r\n\tpanose-1:2 15 5 2 2 2 4 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:swiss;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536859905 -1073732485 9 0 511 0;}p.MsoNormal, li.MsoNormal, div.MsoNormal\r\n\t{mso-style-unhide:no;\r\n\tmso-style-qformat:yes;\r\n\tmso-style-parent:\"\";\r\n\tmargin:0cm;\r\n\tmso-pagination:widow-orphan;\r\n\tfont-size:12.0pt;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New Roman\";\r\n\tmso-bidi-theme-font:minor-bidi;\r\n\tmso-fareast-language:EN-US;}.MsoChpDefault\r\n\t{mso-style-type:export-only;\r\n\tmso-default-props:yes;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New Roman\";\r\n\tmso-bidi-theme-font:minor-bidi;\r\n\tmso-fareast-language:EN-US;}div.WordSection1\r\n\t{page:WordSection1;}<\/style><\/p>\n<p style=\"text-align: center; \"><span style=\"color: rgb(242, 242, 242);\"><img decoding=\"async\" src=\"https:\/\/web.infn.it\/qub-it\/wp-content\/uploads\/2023\/03\/image-2.png\"><\/span><\/p>\n<p style=\"text-align: center; \">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><span style=\"mso-ansi-language:EN-US\" lang=\"EN-US\">Fig 3: Transmission\r\nof the cavity with the qubit inside as a funcion of VNA power and frequency.\r\nAbove -5 dbm the bare cavity frequency appears.<\/span><\/p><p style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><style>@font-face\r\n\t{font-family:\"Cambria Math\";\r\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:roman;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face\r\n\t{font-family:Calibri;\r\n\tpanose-1:2 15 5 2 2 2 4 3 2 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4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:roman;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face\r\n\t{font-family:Calibri;\r\n\tpanose-1:2 15 5 2 2 2 4 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:swiss;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536859905 -1073732485 9 0 511 0;}p.MsoNormal, li.MsoNormal, div.MsoNormal\r\n\t{mso-style-unhide:no;\r\n\tmso-style-qformat:yes;\r\n\tmso-style-parent:\"\";\r\n\tmargin:0cm;\r\n\tmso-pagination:widow-orphan;\r\n\tfont-size:12.0pt;\r\n\tfont-family:\"Calibri\",sans-serif;\r\n\tmso-ascii-font-family:Calibri;\r\n\tmso-ascii-theme-font:minor-latin;\r\n\tmso-fareast-font-family:Calibri;\r\n\tmso-fareast-theme-font:minor-latin;\r\n\tmso-hansi-font-family:Calibri;\r\n\tmso-hansi-theme-font:minor-latin;\r\n\tmso-bidi-font-family:\"Times New 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center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><span style=\"mso-ansi-language:EN-US\" lang=\"EN-US\">Fig 4: Chevron\r\nplot showing the Rabi oscillation as a function of the frequency of the qubit\r\ncontrol-pulse and time duration of the pulse itself.<\/span><\/p><p style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><style>@font-face\r\n\t{font-family:\"Cambria Math\";\r\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:roman;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536870145 1107305727 0 0 415 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\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><span style=\"mso-ansi-language:EN-US\" lang=\"EN-US\">Fig 5:\r\nMicrowave photon population measured inside the resonant cavity by means of\r\nqubit spectroscopy.<\/span><\/p>\r\n\r\n\r\n\r\n\r\n\r\n<p class=\"MsoNormal\" style=\"text-align: center;\"><style>@font-face\r\n\t{font-family:\"Cambria Math\";\r\n\tpanose-1:2 4 5 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decoding=\"async\" src=\"https:\/\/web.infn.it\/qub-it\/wp-content\/uploads\/2023\/03\/image-8.png\">&nbsp;<img decoding=\"async\" src=\"https:\/\/web.infn.it\/qub-it\/wp-content\/uploads\/2023\/03\/image-9.png\"><\/span><\/p>\n<p style=\"text-align: center; \">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\">\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n<\/p><p class=\"MsoNormal\" style=\"text-align: center;\"><span style=\"mso-ansi-language:EN-US\" lang=\"EN-US\">Fig 6:\r\nRamsey Spectroscopy<\/span><\/p>\r\n\r\n\r\n\r\n\r\n\r\n<p class=\"MsoNormal\" style=\"text-align: center;\"><style>@font-face\r\n\t{font-family:\"Cambria Math\";\r\n\tpanose-1:2 4 5 3 5 4 6 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:roman;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face\r\n\t{font-family:Calibri;\r\n\tpanose-1:2 15 5 2 2 2 4 3 2 4;\r\n\tmso-font-charset:0;\r\n\tmso-generic-font-family:swiss;\r\n\tmso-font-pitch:variable;\r\n\tmso-font-signature:-536859905 -1073732485 9 0 511 0;}p.MsoNormal, li.MsoNormal, 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