{"id":181039,"date":"2024-01-21T18:35:09","date_gmt":"2024-01-22T00:35:09","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2024\/01\/microwave-quantum-diode"},"modified":"2024-01-21T18:35:09","modified_gmt":"2024-01-22T00:35:09","slug":"microwave-quantum-diode","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2024\/01\/microwave-quantum-diode","title":{"rendered":"Microwave quantum diode"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/microwave-quantum-diode.jpg\"><\/a><\/p>\n<p>Quantum engineering, a dynamic discipline bridging the fundamentals of quantum mechanics and established engineering fields has developed significantly in the past few decades. Two-level systems such as superconducting quantum bits are the building blocks of quantum circuits. Qubits of this type are currently the most researched and used in quantum computing applications<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Clarke, J. & Wilhelm, F. K. Superconducting quantum bits. Nature 453, 1031 (2008).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR1\" id=\"ref-link-section-d222925586e412\">1<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wendin, G., & Shumeiko, V.S. Superconducting Quantum Circuits, Qubits and Computing. arXiv: cond-mat\/0508729 (2005).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR2\" id=\"ref-link-section-d222925586e412_1\">2<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Devoret, M.H., Wallraff, A. & Martinis, J.M. Superconducting Qubits: A Short Review. arXiv: cond-mat\/0411174 (2004).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR3\" id=\"ref-link-section-d222925586e412_2\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Gu, X., Kockum, A. F., Miranowicz, A., Liu, Y. & Nori, F. Microwave photonics with superconducting quantum circuits. Phys. Rep. 718, 1 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR4\" id=\"ref-link-section-d222925586e412_3\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 5\" title=\"Ronzani, A. et al. Tunable photonic heat transport in a quantum heat valve. Nat. Phys. 14,991 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR5\" id=\"ref-link-section-d222925586e415\">5<\/a><\/sup>. The characteristics of the superconducting qubits such as eigen energies, non-linearity, coupling strengths etc. can be tailored easily by adjusting the design parameters<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 6\" title=\"Rasmussen, S. E. et al. Superconducting circuit companion-an introduction with worked examples. PRXQuantum 2, 040204 (2021).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR6\" id=\"ref-link-section-d222925586e419\">6<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 7\" title=\"Orlando, T. P. et al. A superconducting persistent-current qubit. Phys. Rev. B 60, 15398 (1999).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR7\" id=\"ref-link-section-d222925586e422\">7<\/a><\/sup>. Qubits have large non-linearity, which makes it possible to selectively address and control them<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 1\" title=\"Clarke, J. & Wilhelm, F. K. Superconducting quantum bits. Nature 453, 1031 (2008).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR1\" id=\"ref-link-section-d222925586e426\">1<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 3\" title=\"Devoret, M.H., Wallraff, A. & Martinis, J.M. Superconducting Qubits: A Short Review. arXiv: cond-mat\/0411174 (2004).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR3\" id=\"ref-link-section-d222925586e429\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 7\" title=\"Orlando, T. P. et al. A superconducting persistent-current qubit. Phys. Rev. B 60, 15398 (1999).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR7\" id=\"ref-link-section-d222925586e432\">7<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 8\" title=\"Mooij, J. E. et al. Josephson persistent-current qubit. Science 285, 1036 (1999).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR8\" id=\"ref-link-section-d222925586e435\">8<\/a><\/sup>. This dynamic property makes superconducting qubits a strong candidate for plethora of applications. Other two-level microscopic quantum systems<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Loss, D. & DiVincenzo, D. P. Quantum computation with quantum dots. Phys. Rev. A 57,120 (1998).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR9\" id=\"ref-link-section-d222925586e439\">9<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Kane, B. E. A silicon-based nuclear spin quantum computer. Nature 393,133 (1998).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR10\" id=\"ref-link-section-d222925586e439_1\">10<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Goto, A., Hashi, K., Ohki, S. & Shimizu, T. Optically induced nuclear spin-spin couplings in GaAs manifested by spin echo decays under optical pumping. Quantum Inf. 8, 59 (2022).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR11\" id=\"ref-link-section-d222925586e439_2\">11<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Petta, J. R. et al. Coherent manipulation of coupled electron spins in semiconductor quantum dots. Science 309, 2180 (2005).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR12\" id=\"ref-link-section-d222925586e439_3\">12<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wang, Z. et al. Double quantum dot-like transport in controllably doped graphene nanoribbon. Appl. Phys. Lett. 118, 083105 (2021).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR13\" id=\"ref-link-section-d222925586e439_4\">13<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 14\" title=\"Hanson, R., Kouwenhoven, L. P., Petta, J. R., Tarucha, S. & Vandersypen, L. M. K. Spins in few-electron quantum dots. Rev. Mod. Phys. 79, 1217 (2007).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR14\" id=\"ref-link-section-d222925586e442\">14<\/a><\/sup> also have certain advantages and may be used in the future.<\/p>\n<p>Quantum devices operate at low temperatures and require good isolation from external noises. Microwave devices, such as circulators and isolators, protect quantum circuits by unidirectionally routing the output signal, whilst simultaneously isolating noise from the output channel back to the quantum circuit. Their non-reciprocal character relies on the properties of ferrites<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pozar, D. M. Microwave Engineering, 4th ed. Wiley, Hoboken, NJ, (2012).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR15\" id=\"ref-link-section-d222925586e449\">15<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Hamann, A. R. et al. Nonreciprocity realized with quantum nonlinearity. Phys. Rev. Lett. 121, 123601 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR16\" id=\"ref-link-section-d222925586e449_1\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 17\" title=\"Kodera, T., Sounas, D. L. & Caloz, C. Magnetless Nonreciprocal Metamaterial (MNM) technology: Application to microwave components. IEEE Trans. Microw. Theory Tech. 61, 1030 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR17\" id=\"ref-link-section-d222925586e452\">17<\/a><\/sup>. Ferrite-based non-reciprocal devices are bulky<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pozar, D. M. Microwave Engineering, 4th ed. Wiley, Hoboken, NJ, (2012).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR15\" id=\"ref-link-section-d222925586e456\">15<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Hamann, A. R. et al. Nonreciprocity realized with quantum nonlinearity. Phys. Rev. Lett. 121, 123601 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR16\" id=\"ref-link-section-d222925586e456_1\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 17\" title=\"Kodera, T., Sounas, D. L. & Caloz, C. Magnetless Nonreciprocal Metamaterial (MNM) technology: Application to microwave components. IEEE Trans. Microw. Theory Tech. 61, 1030 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR17\" id=\"ref-link-section-d222925586e459\">17<\/a><\/sup>, and they cannot be positioned near the quantum circuit because they require strong magnetic fields. Although commercial ferrite based non-reciprocal devices harness high isolation and low insertion loss, their dependency on magnetic components limits the scalability of cryogenic quantum circuits<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 15\" title=\"Pozar, D. M. Microwave Engineering, 4th ed. Wiley, Hoboken, NJ, (2012).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR15\" id=\"ref-link-section-d222925586e463\">15<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 16\" title=\"Hamann, A. R. et al. Nonreciprocity realized with quantum nonlinearity. Phys. Rev. Lett. 121, 123601 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR16\" id=\"ref-link-section-d222925586e466\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 18\" title=\"Viola, G. & DiVincenzo, D. P. Hall effect gyrators and circulators. Phys. Rev. X 4, 021019 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR18\" id=\"ref-link-section-d222925586e469\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 19\" title=\"Ranzani, L. et al. Wideband isolation by frequency conversion in a Josephson-junction Transmission Line. Phys. Rev. Appl. 8, 054035 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR19\" id=\"ref-link-section-d222925586e472\">19<\/a><\/sup>. Various ferrite-free approaches based on non-linear behavior of artificial atoms<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 16\" title=\"Hamann, A. R. et al. Nonreciprocity realized with quantum nonlinearity. Phys. Rev. Lett. 121, 123601 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR16\" id=\"ref-link-section-d222925586e476\">16<\/a><\/sup>, dc superconducting quantum interference devices (dc-SQUID)<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Kamal, A., Clarke, J. & Devoret, M. H. Gain, directionality, and noise in microwave SQUID amplifiers: Input-output approach. Phys. Rev. B 86, 144510 (2012).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR20\" id=\"ref-link-section-d222925586e480\">20<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 21\" title=\"Zhang, Yu-X., Carceller, C. R., Kjaergaard, M. & S\u00f8rensen, A. S. Charge-noise insensitive chiral photonic interface for waveguide wircuit QED. Phys. Rev. Lett. 127, 233601 (2021).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR21\" id=\"ref-link-section-d222925586e483\">21<\/a><\/sup>, and arrays of Josephson junctions (JJ\u2019s)<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 19\" title=\"Ranzani, L. et al. Wideband isolation by frequency conversion in a Josephson-junction Transmission Line. Phys. Rev. Appl. 8, 054035 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR19\" id=\"ref-link-section-d222925586e488\">19<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Yaakobi, O., Friedland, L., Macklin, C. & Siddiqi, I. Parametric amplification in Josephson junction embedded transmission lines. Phys. Rev. B 87, 144301 (2013).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR22\" id=\"ref-link-section-d222925586e491\">22<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Lecocq, F. et al. Nonreciprocal microwave signal processing with a field-programmable Josephson amplifier. Phys. Rev. Appl. 7, 024028 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR23\" id=\"ref-link-section-d222925586e491_1\">23<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 24\" title=\"O\u2019Brien, K., Macklin, C., Siddiqi, I. & Zhang, X. Resonant phase matching of Josephson junction traveling wave parametric amplifiers. Phys. Rev. Lett. 113, 157001 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR24\" id=\"ref-link-section-d222925586e494\">24<\/a><\/sup>, have been experimentally demonstrated and implemented. Recently, a circuit based on semiconductor mixers has been used to realize a compact microwave isolator, which the authors claim could be extended to an on-chip device using Josephson mixers, although the \u201con-chip\u201d demonstration is not yet reported<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 25\" title=\"Masui, S., Kojima, T., Uzawa, Y. & Onishi, T. A novel microwave nonreciprocal isolator based on frequency mixers. IEEE Microw. Wirel. Technol. Lett. 33, 1051 (2023).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR25\" id=\"ref-link-section-d222925586e498\">25<\/a><\/sup>. Additionally, mesoscopic circulators exploiting the quantum Hall effect to break time-reversal symmetry of electrical transport in 2D systems are explored at a cost of larger magnetic fields deleterious to superconducting circuits<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 18\" title=\"Viola, G. & DiVincenzo, D. P. Hall effect gyrators and circulators. Phys. Rev. X 4, 021019 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR18\" id=\"ref-link-section-d222925586e502\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Mahoney, A. C. et al. On-chip microwave quantum hall circulator. Phys. Rev. X 7, 011007 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR26\" id=\"ref-link-section-d222925586e505\">26<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Stace, T. M., Barnes, C. H. W. & Milburn, G. J. Mesoscopic one-way channels for quantum state transfer via the quantum Hall effect. Phys. Rev. Lett. 93, 126804 (2004).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR27\" id=\"ref-link-section-d222925586e505_1\">27<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Mason, W. P., Hewitt, W. H. & Wick, R. F. Hall Effect Modulators and \u201cgyrators\u201d employing magnetic field independent orientations in germanium. J. Appl. Phys. 24,166 (1953).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR28\" id=\"ref-link-section-d222925586e505_2\">28<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 29\" title=\"Barzanjeh, S. et al. Mechanical on-chip microwave circulator. Nat. Commun. 8,953 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR29\" id=\"ref-link-section-d222925586e508\">29<\/a><\/sup>. More recently, a passive on-chip circulator based on three Josephson elements operating in charge-sensitive regime was demonstrated<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 30\" title=\"Navarathna, R. et al. Mechanical on-chip microwave circulator. Phys. Rev. Lett. 130, 037001 (2023).\" href=\"https:\/\/www.nature.com\/articles\/s41467-024-44908-w#ref-CR30\" id=\"ref-link-section-d222925586e512\">30<\/a><\/sup>. Such devices are frequently limited by their parameter regime, leaving them charge sensitive and therefore difficult to implement in a practical scenario. However, it is possible to mitigate the charge-sensitivity by carefully tuning the device parameters. Our device operates in a parameter regime that is not sensitive to charge fluctuations or charge parity switching, a fundamental requirement for any practical implementation, and requires small magnetic field. The reported device is a proof of concept (PoC), potentially useful in the applications relevant to microwave read-out components in the field of superconducting quantum circuits.<\/p>\n<p>In this work, we present a robust and simple on-chip microwave diode demonstrating transmission rectification based on a superconducting flux qubit<sup>8<\/sup>. The concept of the device is shown in Fig. 1a. The flux qubit is inductively coupled to two superconducting resonators of different lengths with different coupling strengths. The design details are reported later in this section. Probing the qubit at the half-flux (degeneracy point) with one tone-spectroscopy, we observe identical patterns of transmission coefficient for signals propagating in the opposite directions, which are shifted by 5 dB in power. This shift indicates the non-reciprocal behaviour in our device, expressed in terms of transmission rectification ratio \u00ae in this article. The origin of this effect is the non-linearity of the flux qubit, which controls the transmission coefficient of the whole structure.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quantum engineering, a dynamic discipline bridging the fundamentals of quantum mechanics and established engineering fields has developed significantly in the past few decades. Two-level systems such as superconducting quantum bits are the building blocks of quantum circuits. Qubits of this type are currently the most researched and used in quantum computing applications1,2,3,4,5. The characteristics of [\u2026]<\/p>\n","protected":false},"author":661,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1523,38,1617],"tags":[],"class_list":["post-181039","post","type-post","status-publish","format-standard","hentry","category-computing","category-engineering","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/181039","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/661"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=181039"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/181039\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=181039"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=181039"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=181039"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}