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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Quantum Sci. Technol.</journal-id>
<journal-title>Frontiers in Quantum Science and Technology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Quantum Sci. Technol.</abbrev-journal-title>
<issn pub-type="epub">2813-2181</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1220015</article-id>
<article-id pub-id-type="doi">10.3389/frqst.2023.1220015</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Quantum Science and Technology</subject>
<subj-group>
<subject>Perspective</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Multimodal quantum metrology in living systems using nitrogen-vacancy centres in diamond nanocrystals</article-title>
<alt-title alt-title-type="left-running-head">Hart and Knowles</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/frqst.2023.1220015">10.3389/frqst.2023.1220015</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Hart</surname>
<given-names>Jack W.</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2366739/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Knowles</surname>
<given-names>Helena S.</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2240541/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>Cavendish Laboratory</institution>, <institution>Department of Physics</institution>, <institution>University of Cambridge</institution>, <addr-line>Cambridge</addr-line>, <country>United Kingdom</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/886023/overview">Philipp Reineck</ext-link>, RMIT University, Australia</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1624506/overview">Taras Plakhotnik</ext-link>, The University of Queensland, Australia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Helena S. Knowles, <email>hsk35@cam.ac.uk</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>2</volume>
<elocation-id>1220015</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Hart and Knowles.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Hart and Knowles</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Nitrogen-vacancy centres in diamond nanocrystals are among the leading candidates for realising nanoscale quantum sensing under ambient conditions. Due to their exceptional electronic spin coherence at room temperature and optical addressability, these solid state spin-based sensors can achieve a wide selection of sensing modalities, including probing temperature, external magnetic and electric field, as well as the detection of nearby electronic and nuclear spins. In this article, we discuss recent progress made utilizing nanodiamond quantum sensors in living systems and explore both opportunities for future advances and challenges that lie ahead.</p>
</abstract>
<kwd-group>
<kwd>nanodiamond</kwd>
<kwd>quantum sensing</kwd>
<kwd>biosensing</kwd>
<kwd>nitrogen-vacancy center</kwd>
<kwd>nanoscale probes</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Quantum Sensing and Metrology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction to nanodiamond bio-sensing</title>
<p>Nitrogen vacancy (NV) centres in diamond nanocrystals provide an exciting platform for realising high sensitivity and high spatial resolution quantum sensing in living systems (<xref ref-type="bibr" rid="B60">Yu et al. (2005)</xref>; <xref ref-type="bibr" rid="B39">McGuinness et al. (2011)</xref>; <xref ref-type="bibr" rid="B46">Perona Martinez et al. (2020)</xref>; <xref ref-type="bibr" rid="B49">Qureshi et al. (2022)</xref>). Their robust optical signature, along with coherent control and readout of the ground state spin levels through microwave and optical excitation have opened the door to realising quantum sensing in a range of different modalities with the same sensor device (<xref ref-type="bibr" rid="B13">Degen et al. (2017)</xref>). Several characteristics of this quantum probe have made it an attractive candidate for sensing biological phenomena. These include the small probing volume (on the order of 10s of zeptolitres (corresponding to the volume of a 50&#xa0;nm diameter sphere) (<xref ref-type="bibr" rid="B23">Holzgrafe et al., 2020</xref>), low nanodiamond cytotoxicity even in high concentrations (<xref ref-type="bibr" rid="B59">Woodhams et al., 2018</xref>), their straightforward uptake into living cells through endocytosis (<xref ref-type="fig" rid="F1">Figure 1A</xref>) (<xref ref-type="bibr" rid="B35">Liu et al., 2009</xref>; <xref ref-type="bibr" rid="B11">Chu et al., 2014</xref>), the possibility to decouple the signal of interest from background fluorescence fluctuations (<xref ref-type="bibr" rid="B32">Kuo et al., 2013</xref>), and practical <italic>in-situ</italic> calibration protocols for quantitative metrology (<xref ref-type="bibr" rid="B61">Yukawa et al., 2020</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Utilising NV centres inside nanoscale diamond crystals for sensing under ambient conditions. <bold>(A)</bold> Illustration of nanodiamond uptake by a cell and subsequent proximity of the sensor to organelles (such as mitochondria). Examples of the typical readout for different nanodiamond sensor modalities including photoluminescence-based modalities <bold>(B)</bold> (passive microrheology, charge state conversion for voltage sensing) and spin-based modalities <bold>(C)</bold> (optically detected magnetic resonance for temperature and external magnetic field sensing, T1-relaxation, spin-echo double resonance and nuclear magnetic resonance).</p>
</caption>
<graphic xlink:href="frqst-02-1220015-g001.tif"/>
</fig>
<p>Different sensing modalities can be realised using purely the photoluminescence signal of the NV centre (<xref ref-type="fig" rid="F1">Figure 1B</xref>), while others rely on a combination of optical and microwave modulation (<xref ref-type="fig" rid="F1">Figure 1C</xref>). For thermometry, magnetometry and nearby spin detection, the relevant sensor signal originates from detecting a shift of the ground state spin energy levels as a result of a change in the immediate nanoscale environment of the NV (<xref ref-type="bibr" rid="B1">Acosta et al., 2010</xref>). Readout of this change in energy can be achieved either by pulsed or continuous wave approaches. In the simplest protocol, the fluorescence signal from the NV is monitored when an external microwave resonantly excites the NV centre ground state from the <italic>m</italic>
<sub>
<italic>s</italic>
</sub> &#x3d; 0 state into the <italic>m</italic>
<sub>
<italic>s</italic>
</sub> &#x3d; &#xb1;1 state, which promotes relaxation through a transition with reduced fluorescence in the visible detection range. This method is termed optically detected magnetic resonance (ODMR) (<xref ref-type="bibr" rid="B17">Gruber et al., 1997</xref>). For achieving nuclear and electronic spin detection, more sophisticated schemes are required, that lock to the precession frequency of the target spins and provide selective detection of a chosen spin species (<xref ref-type="bibr" rid="B37">Mamin et al., 2013</xref>).</p>
</sec>
<sec id="s2">
<title>2 Recent advances</title>
<p>A number of sensing protocols have been developed that do not require coherent spin control, but instead rely on the NV centre&#x2019;s optical and charge state properties. Due to their stable photoluminescence (<xref ref-type="bibr" rid="B50">Reineck et al., 2016</xref>), NV-containing nanodiamonds have been used as long-lived tracer probes in a variety of biological systems ranging from neurons (<xref ref-type="bibr" rid="B21">Haziza et al., 2017</xref>) to mice (<xref ref-type="bibr" rid="B24">Hui et al., 2014</xref>). Information about local rheological properties or active trafficking mechanisms can be extracted from the motion of nanodiamonds in cells using the mean squared displacement (MSD). Different regimes of motion can be identified by the power-law exponent of the MSD, <italic>&#x3b1;</italic>. When <italic>&#x3b1;</italic> &#x3c; 1, the motion is known as sub-diffusive, indicating local trapping of the probe or movement in a viscoelastic medium. In the case where <italic>&#x3b1;</italic> &#x3e; 1, the motion is super-diffusive, suggesting active directed motion, such as flow or intracellular trafficking (<xref ref-type="bibr" rid="B58">Waigh, 2016</xref>). Due to the absence of bleaching and the exceptional photostability of NV centres compared with commonly used fluorescent dyes (which typically have a photobleaching half-life on the order of 100s of seconds (<xref ref-type="bibr" rid="B22">Hirano et al., 2022</xref>), nanodiamond-based sensors can be tracked over the entire life cycle of a cell or organism, facilitating long term passive microrheology analysis using recently developed neural networks (<xref ref-type="bibr" rid="B20">Han et al., 2020</xref>). Typically, NV centre-based quantum sensing uses the negatively charged spin state (i.e., NV<sup>&#x2212;</sup>), however, the transition to the neutral (NV<sup>0</sup>) and positively charged states (NV<sup>&#x2b;</sup>) can occur and can be exploited for electric field sensing (<xref ref-type="fig" rid="F1">Figure 1B</xref>, right). A strong local electrostatic field (which can be achieved through a negatively charged surface termination or adsorbate layer) can change the energy levels the NV centre relative to the diamond Fermi energy in such as way as to facilitate voltage-dependent charge state conversion (<xref ref-type="bibr" rid="B38">McCloskey et al., 2022</xref>). Implementation of this sensing modality has been demonstrated in nanodiamonds (<xref ref-type="bibr" rid="B26">Karaveli et al., 2016</xref>), but has yet to be applied in a biological setting where it could be used to sense physiological changes to the environment, such as local changes in pH (<xref ref-type="bibr" rid="B55">Sow et al., 2020</xref>).</p>
<p>The behaviour of intracellular temperature, long assumed to be homogeneous throughout the cell interior, has recently come under question following the observation of large local gradients within the mitochondrial intermembrane space (<xref ref-type="bibr" rid="B10">Chretien et al., 2018</xref>). This experimental result, along with others (<xref ref-type="bibr" rid="B62">Zhou et al., 2020</xref>; <xref ref-type="bibr" rid="B12">Chung et al., 2022</xref>), has come under scrutiny due to the conflict with theoretical models that suggest that such large temperature gradients should not persist over micron-scale distances in living systems due to the diffusion of heat (<xref ref-type="bibr" rid="B3">Baffou et al., 2014</xref>). Nanodiamonds, by virtue of their nanoscale size, are well suited for sensing temperature gradients on the nanoscale and addressing the open debate. The NV<sup>&#x2212;</sup> centre temperature sensitivity originates from the expansion and contraction of the diamond lattice with changing temperature, which alters the energy separation between the ground state spin levels (<xref ref-type="fig" rid="F1">Figure 1C</xref> top left). In addition, optical and charge state properties are also altered, allowing for a purely optical, ratiometric detection of temperature (<xref ref-type="bibr" rid="B48">Plakhotnik et al. (2015)</xref>, although this has not been applied <italic>in vitro</italic>. A readout technique which provides robustness to background optical fluctuations is enabled by probing the ground state energy level splitting through combined optical and microwave excitation in a scheme called optically detected magnetic resonance (ODMR) <xref ref-type="bibr" rid="B39">McGuinness et al. (2011)</xref>. The application of nanodiamonds for intracellular thermal sensing was first demonstrated by measuring the temperature changes induced by laser-heated gold nanoparticles (<xref ref-type="bibr" rid="B31">Kucsko et al., 2013</xref>). In the decade since, several experiments have expanded on the single-cell temperature sensing regime (<xref ref-type="bibr" rid="B53">Simpson et al., 2017</xref>), investigating how heat affects embryogenesis (<xref ref-type="bibr" rid="B9">Choi et al., 2020</xref>) and the thermogenic effect due to mitochondrial-uncoupling (<xref ref-type="bibr" rid="B16">Fujiwara et al., 2020</xref>) in the multicellular nematode <italic>Caenorhabditis elegans</italic>. Opportunities to measure thermogenic effects arising from mitochndrial uncoupling extend to a range of organisms, including plants (<xref ref-type="bibr" rid="B57">Vlot et al., 2009</xref>).</p>
<p>An external magnetic field will shift the spin energy levels of the NV centre ground state, resulting in a splitting between the two ODMR resonances that corresponds directly to the projection of the magnetic field to the quantisation axis of the NV spin (see illustration in <xref ref-type="fig" rid="F1">Figure 1C</xref> top right). As the magnetic field changes induced in biological systems are often small and transient, magnetic field sensing of living systems has remained limited to NVs implanted close to the diamond surface in bulk diamond samples, where the orientation of the NV axis is known and fixed and higher sensitivities can be achieved. For example, the magnetic field change induced by the action potential of a single neuron in a <italic>Myxicola infundibulum</italic> worm was detected (<xref ref-type="bibr" rid="B5">Barry et al., 2016</xref>) using shallow NV ensemble magnetometry. For intracellular measurements, typical signals of interest can originate from magnetosomes generated by magnetotactic bacteria, imaged at the sub-cellular level with shallow NV quantum sensing (<xref ref-type="bibr" rid="B34">Le Sage et al., 2013</xref>).</p>
<p>An alternative and popular sensing modality that does not require microwave excitation is to measure the spin relaxation time (T1), the time taken for the polarised NV state to return to a thermal equilibrium polarisation. This timescale is affected by the local electromagnetic noise at the NV location and provides an indication of charge and spin concentration changes in the immediate environment of the NV centre (<xref ref-type="fig" rid="F1">Figure 1C</xref> bottom left). The readout is performed optically by acquiring the change in fluorescence between spin initialisation and a finite time, typically a microsecond scale relaxation time (<xref ref-type="bibr" rid="B42">Mzyk et al., 2022</xref>). There are many reports of intracellular T1 sensing to detect reactive oxygen species and nitrogen oxide radicals (<xref ref-type="bibr" rid="B43">Nie et al., 2021</xref>; <xref ref-type="bibr" rid="B52">Sigaeva et al., 2022</xref>). Whilst minimally invasive, T1 measurements alone lack specificity, as the individual spin species influencing the polarisation relaxation can not be resolved. This can make the interpretation of results challenging. If the target spin species can be externally driven by a radio-frequency pulse, it becomes possible to isolate the noise effect through the coupling between the NV centre and the spin target (in a pulse delivery technique called spin echo double resonance, SEDOR, illustrated in <xref ref-type="fig" rid="F1">Figure 1C</xref> bottom middle). Whilst this technique has been experimentally demonstrated in nanodiamonds to detect local nitrogen impurities within the diamond lattice (<xref ref-type="bibr" rid="B29">Knowles et al. (2014</xref>; <xref ref-type="bibr" rid="B28">2016)</xref>), no biological application has yet been realised.</p>
<p>Nuclear magnetic resonance (NMR) spectroscopy detects the precession of nuclear spins in an external magnetic field. Realised with chemical shift resolution, where changes in spin-active nuclear isotope resonances due to the local electronic environment surrounding the nucleus are resolved, the technique can reveal structural information about a molecule or protein of interest. Conventional NMR however requires macroscopic samples (around 1&#xa0;mm<sup>3</sup>) and an external magnetic field of several Tesla. NV centres can realise NMR spectroscopy by exploiting the coupling between the electronic NV spin and nearby nuclear spins (<xref ref-type="fig" rid="F1">Figure 1C</xref> bottom right). Shallow ensemble experiments are even able to resolve chemical shifts (<xref ref-type="bibr" rid="B2">Aslam et al., 2017</xref>), and nanodiamond sensors containing single NV centres have demonstrated the capability to detect spin-active nuclei in &#x223c;1500 oil molecules within a sensing volume of 7 zeptolitres (<xref ref-type="bibr" rid="B23">Holzgrafe et al., 2020</xref>).</p>
</sec>
<sec id="s3">
<title>3 Challenges and future opportunities</title>
<p>Nanodiamond quantum sensors offer a powerful platform for nanoscale sensing <italic>in vivo</italic>, conveniently combining a number of different modalities into one single nanoparticle device. While these have been able to give us many new insights into soft systems at the nanoscale, there remain a number of outstanding challenges. Heat damage caused by continuous microwave and optical excitation can be a significant source of perturbation for a living system. As nanodiamond tracking is often required for <italic>in vitro</italic> experiments, many modalities rely on continuous excitation. Microwave radiation can cause heating in cellular environments due to the prevalence of water, which has a broad absorption spectrum in the microwave range. Laser illumination for continuous spin initialisation and readout (commonly at 532&#xa0;nm) can result in localised heat spots within the cell and can produce cytotoxic compounds such as reactive oxygen species (<xref ref-type="bibr" rid="B33">Lavi et al., 2010</xref>). Heating damage can be mitigated in a number of ways. Targeted, lower power microwave delivery can be achieved through the design of waveguide structures that are evaporated onto cell substrates and enable efficient excitation of the NV centre without heating the biological sample (<xref ref-type="bibr" rid="B44">Oshimi et al., 2022</xref>). In order to reduce the overall microwave power delivered to the surrounding medium, pulse sequences that allow time for the heat conduction away from the sample can be used. Pulsed illumination can be used to reduce the local photothermal load in a particular region of the cell, and could even increase sensitivity (<xref ref-type="bibr" rid="B4">Barry et al., 2020</xref>).</p>
<p>A further challenge is the mechanically dynamic nature of the samples of interest, which typically leads to nanodiamond motion. Nanodiamonds are actively transported around living cells by the collective motion of motor proteins and cytoskeleton remodelling, exhibiting velocities up to 200&#xa0;nm/s (<xref ref-type="bibr" rid="B54">Simpson et al., 2014</xref>). This can make targeted sensing in specific locations difficult, e.g., in the outer membranes of mitochondria. As well as translational motion, nanodiamonds also undergo rotational motion, which can make alignment of an external magnetic field with a crystal axis, required for magnetic field sensing, SEDOR and NMR modalities, a significant challenge. Translational movement of the nanodiamond can be compensated for with reactive tracking techniques, allowing continued probing of the quantum sensor even at high velocities (<xref ref-type="bibr" rid="B39">McGuinness et al., 2011</xref>). Rotational diffusion rates can be inferred from the change in angle between the NV quantisation axis and a fixed external magnetic field, which is reflected in the relative change of the ODMR resonances over time. Simultaneous translational and rotational tracking of nanodiamonds on cell membranes has been demonstrated, with a maximum nanodiamond rotation tracking speed of 5&#xb0;C per second (<xref ref-type="bibr" rid="B15">Feng et al., 2021</xref>), much faster than previously reported intracellular rotational speeds (<xref ref-type="bibr" rid="B39">McGuinness et al., 2011</xref>).</p>
<p>A different approach, based on reducing nanodiamond movement and rotation in cells can be achieved through chemical treatment of the living system. Nocodazole, a binding agent to beta-tubulin, effectively disrupts the microtubule network by preventing tubulin polymerization. This has been shown to reduce intracellular trafficking and cell motility, whilst being reversible and, if used transiently, has minimal effect on overall cell viability (<xref ref-type="bibr" rid="B45">Pelling et al., 2007</xref>). Depending on the parameter of interest, ATP depletion has also been shown to reduce intracellular movement (<xref ref-type="bibr" rid="B19">Guo et al., 2014</xref>). Nanodiamond movement may also be reduced by surface functionalization, which has been shown to facilitate organelle targeting (<xref ref-type="bibr" rid="B41">Mkandawire et al., 2009</xref>).</p>
<p>Alternatively, physically moving the nanodiamond to a desired location or holding it in position is possible with optical trapping. This is enabled by the high refractive index difference between the nanodiamond and the surrounding medium. By switching between trapping and pulsed MW excitation, sequential trapping and pulsed ODMR readout of a nanodiamond in an aqueous environment has been shown, including rotational control of the nanodiamond by changing the polarisation of the trapping beam (<xref ref-type="bibr" rid="B51">Russell et al., 2021</xref>). Modulation of the infrared beam also minimizes the localised heating effects (which are particularly prescient due to the strong absorption of infrared radiation by water (<xref ref-type="bibr" rid="B47">Peterman et al., 2003</xref>). Successful non-disruptive optical trapping would additionally present the opportunity to use nanodiamonds for active microrheology, both inside and outside of a cellular environment. Active microrheology, where the response of the nano particle to a driven force induced by the trap is probed, and can reveal viscoelastic properties of the environment the particle is experiencing. Several studies have used polystyrene beads to probe the dynamic material properties using this technique during changing physiological conditions (such as ATP depletion or disruption of the cytoskeletal structure) (<xref ref-type="bibr" rid="B19">Guo et al., 2014</xref>) or different stages of cellular mitosis (<xref ref-type="bibr" rid="B25">Hurst et al., 2021</xref>). Implemented for nanodiamond quantum sensing <italic>in vitro</italic>, these solutions for sensor tracking, active localisation and perturbation minimisation present an essential toolkit for realising nanodiamond quantum sensors as a widely applicable biosensing platform.</p>
<p>Nanodiamond quantum sensors offer a plethora of opportunities for sensing both <italic>in vitro</italic> and <italic>in vivo</italic>. They are the basis of ultrasentisive diagnostics with orders of magnitude enhanced sensitivity in biomarker detection (<xref ref-type="bibr" rid="B40">Miller et al., 2020</xref>) and could enable nanoparticle-based drug delivery with integrated nanosensor in model systems (<xref ref-type="bibr" rid="B7">Chauhan et al., 2020</xref>). The ability of NV centres to operate concurrently in different modalities opens the door to implementing interleaved protocols, where multiple parameters are measured simultaneously or in fast succession, without the need to correlate results from different sensors and different experimental runs (<xref ref-type="bibr" rid="B18">Gu et al., 2023</xref>). This unique feature of NV centres facilitates experiments to probe the interdependence of multiple properties at the same time. Nearby nuclear spins may be able to assist in providing higher sensitivity and spectral resolution by acting as a quantum memory for the NV quantum sensor (<xref ref-type="bibr" rid="B2">Aslam et al., 2017</xref>; <xref ref-type="bibr" rid="B27">Knowles et al., 2017</xref>; <xref ref-type="bibr" rid="B23">Holzgrafe et al., 2020</xref>). Optimal control techniques offer many benefits for enhanced sensitivity in nanodiamond-based sensing, where coherent control of NV defects in a complex and dynamic environment is required (<xref ref-type="bibr" rid="B30">Konzelmann et al., 2018</xref>). While many sensing applications for the NV centre have been developed over the last decades, other emerging materials present promising avenues for <italic>in vitro</italic> quantum sensing. Silicon carbide hosts a number of defects that can be used as quantum sensors (<xref ref-type="bibr" rid="B6">Castelletto and Boretti, 2020</xref>). Other defects in diamond, such as silicon-vacancy centres and germanium-vacancy centres, can act as thermometers through a temperature-dependent zero-phonon line, that can be used to read out local temperature in cells without the need for microwave excitation (<xref ref-type="bibr" rid="B14">Fan et al., 2018</xref>; <xref ref-type="bibr" rid="B36">Liu et al., 2022</xref>). Alternatively, emerging opportunities for quantum sensing applications can be found in newly discovered defects in two-dimensional materials, such as hexagonal boron-nitride, where optical thermometry (<xref ref-type="bibr" rid="B8">Chen et al., 2020</xref>) and ODMR (<xref ref-type="bibr" rid="B56">Stern et al., 2022</xref>) have been demonstrated recently. In the near future, next-generation quantum sensors can provide robustness and quantitative sensing, crucial for understanding complexity and interdependencies in living systems at the nanoscale.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s4">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s5">
<title>Author contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec id="s6">
<title>Funding</title>
<p>This work was supported by the Gordon and Betty Moore Foundation (Grant No. GBMF7872), by UKRI (New Investigator Grant EP/V049704/1) and by the Royal Society through a University Research Fellowship held by HK.</p>
</sec>
<ack>
<p>We would like to thank Qiushi Gu, Louise Shanahan, Sophia Belser, Mete Atat&#xfc;re, Ljiljana Fruk, Alexander Evtushenko, Ross Waller, Eric Miska and David Jordan for their helpful insights.</p>
</ack>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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