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PATHOS Project (2019-2024).

It is the purpose of PATHOS to pursue our potentially ground-breaking multidisciplinary effort in biomedical diagnostics. Starting from novel fundamental approaches to dynamical control, we seek to create new paradigms concerning control or guidance of spin evolutions in complex spin networks, so as to gear them to hitherto unforeseen MR applications in chemistry, biology and medicine. In a nutshell, PATHOS aims to further the very fruitful synergy pioneered by our partners towards developing new task-oriented comprehensive sensing strategies and exploring the new frontiers they entail for NMR, optical and MRI based analysis.
   PATHOS focuses on the theoretical and experimental investigations of new sensing tools optimizing the transfer of information from the environment/noise (to be probed) to the physical system (probe). In this context, methods as dynamical control, noise spectroscopy, and compressed sensing will be combined together to enhance the sensitivity of weak magnetic fields and temperature variations, and finally tested with very diverse but complementary experimental platforms as nuclei (MR), photons, and atoms (NV/ODMR). In all cases the probe will be manipulated by coherent driving and Zeno measurements, while the noise may be also correlated in space and in time. The shared goal is to have a higher signal-to-noise rate and/or a shorter acquisition time, with the future perspective of being applied in biomedicine diagnostics.
 
   More specifically, the PATHOS shared objectives are:
  • Develop advanced control schemes:
    • polarization transfer/cooling
    • control of interacting spin systems
  • Characterize and mitigate effects of (possibly unwanted) non-classical noise
  • Study and characterize non-classical effects in spin networks:
    • Classify network topology in the context of:
    • polarization/cooling
    • quantum state transfer
  • Develop high-resolution, high-sensitivity, high-bandwidth sensing
 
The exploited complementary approaches are:
  • Combine closely theory with experiment:
    • NMR, NV, Optics
    • machine learning classification approaches
    • compressed sensing
  • Sensing:
    • radical sensing/imaging
    • super-resolution microscopy
    • feedback schemes
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PATHOS FOR THE GENERAL AUDIENCE

​During the first half of the 20th century, physicists were able to unravel the basic properties of the constituents of matter and their interactions in what became known as the quantum revolution or simply the theory of quantum mechanics. Since then quantum mechanics has been firmly established as the fundamental theory of most fields of physics and its validity has been tested successfully in a vast array of different settings.

​During the last decades, the second quantum revolution has emerged: with the foundations firmly established, scientists are discovering a range of opportunities where quantum mechanics offers improvements on existing technologies and generating fundamentally new ones, such as quantum communication and quantum computing. In the context of magnetic resonance imaging, quantum mechanics has always been essential for understanding the phenomenon. Now, we are learning how quantum mechanics can be harnessed to improve the sensitivity, resolution and information content of the imaging process. In extreme cases, such as the one shown in the image above, it is possible to obtain images with atomic resolution, using atomic systems such as the nitrogen-vacancy center in diamond to emit single quanta of light (photons) and provide detailed information at the atomic scale on material properties or important biological samples.
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​As part of our PATHOS research project, we have realised (at INRiM) a set-up for Optically Detected Magnetic Resonance (ODMR) techniques exploiting Nitrogen Vacancy (NV) centers in diamond, which is an emerging technique of extremely promising  application in the fields of magnetometry and thermometry, especially in biosensing due to the perfect biocompatibility of nanodiamonds (hosting the NV centers) and the possibility of positioning them in close proximity to the cell membrane, thus allowing a nanometric spatial resolution down to the nano-scale
The first field of application of this technique concerns NV based thermometry. We have demonstrated magnetic sensing and temperature measurements, starting to work with  living cells. The current sensitivity for temperature measurements is in line with the state of the art, normalized to the  sensing volume, [PHYSICAL REVIEW APPLIED 13, 054057 (2020)]. We expect to demonstrate enhanced sensitivity in such scenarios using the techniques developed here.
Furthermore, besides the well known NV centers, affected by broadband spectral emission at room temperature, a quest for more bright and more monochromatic centers is ongoing. In the course of the project, new promising colour centres in diamond besides NV, such as Pb and F, are being investigated [New J. Phys. 23 (2021) 063032, Sci. Rep. 10 21537 (2020)]. 
In parallel, at HUJI we have focused on a diamond-based platform, in which small (atomic) defects act as optically addressable quantum systems. We developed novel techniques for manipulating these quantum systems, enabling advanced sensing and control:

  • Quantum sensing
Radicals are active chemical species, that affect many processes in our daily lives, from the degradation of batteries in our cellphones, to our body’s inflammatory response. Despite their importance, our ability to measure and quantify radical concentration and dynamics in real-world processes is still quite limited.
We developed an optical microscope based on diamond defects, which allows the direct, non-invasive measurement of radical concentrations, with high-sensitivity and resolution.
 
On a more general note, we developed and demonstrated advanced techniques to enhance our sensitivity based on “compressed sensing”. In this approach only part of the data is sampled in an informed way, such that along with specialized algorithms we can extract the signal with high fidelity in a short amount of time.
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  • Polarizing (cooling) samples for MRI
While MRI diagnostics (see section below) are common and quite useful, their sensitivity is limited since the signal arises from randomly oriented magnets (spins) in our body. If we could use a contrast agent in which the spins are well-aligned, the resulting MRI sensitivity will increase.
Such alignment of the spins, called polarization (or cooling) is difficult to achieve in state-of-the-art techniques. We are working on novel techniques in which we can use a dense ensembles of diamond defects to polarize a contrast agent, e.g. for MRI. We proposed a scheme that improves over existing processes, and holds the promise of achieving enhanced polarization.
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​Moreover, INRIM, in order to reach the goal of performing quantum sensing of magnetic fields in living cells, has upgraded the setup in several ways. In particular, together with the already reported upgrades (high-power source, LIA, low noise amplifier, simultaneous driving of all three NV hyperfine peaks) recent upgrades consist of an optimised pulsed excitation source, and a trans-impedance amplifier for increasing measurement bandwidth.  During the project, INRIM has developed ODMR sensing protocols with NV centres showing approximately 70 nT/Hz^1/2 magnetic sensitivity in continuous excitation and in biocompatible conditions [EPJ Quantum technology 7,13 (2020)]. This is in line with the state of the art for the investigated sensing volume (Adv. Quantum Technol. 2020, 2000066 (2020)). In order to furtherly increase the sensitivity, advanced pulsed techniques (Rabi, Ramsey, pulsed ODMR) are being investigated. In order to perform them a pulsed excitation source based on an acusto-opric modulator was implemented. Preliminary measurement show a promising improvement of the performance in terms signal-to-noise ratio of the measurement.
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  • Magnetic Resonance Imaging
Magnetic Resonance Imaging (MRI) uses the interaction of atomic nuclei, in particular the hydrogen atoms of water, with magnetic fields to obtain detailed information on various types of materials. Besides the three-dimensional structure, it is able to map also dynamical processes, such as diffusion or directional motion. This is useful, e.g., for understanding the relevant processes in the human brain (left-hand picture above) or characterising the properties of other materials, such as capsules used for delivering drugs to specific parts of the body (righ-hand picture above).
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Sensing via Zeno effects

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A joint paper, involving INRIM, UNIFI and Weizmann Units, on the experimental study of (anti-)Zeno dynamics as proof of noise (anti-)correlations in quantum systems has been drafted and submitted to a high-profile scientific journal, and is now under consideration. Here we demonstrate, for the first time, the ability of a single photon, subjected to random polarisation noise, to diagnose temporal correlations within such a noise process. Specifically, a noise with positive temporal correlations makes our single photon undergo a dynamical regime characterized by the quantum Zeno effect, while noise characterized by negative correlations corresponds to regimes associated with the anti-Zeno effect.
Subsequently, a second experiment involving Zeno-dynamics for stochastic noise sensing in optical systems has begun. Suppose to have a system with D possible noise sources, stochastically distributed with different probabilities within our channel; the main purpose of this experiment is to reconstruct such noise probability distribution by performing a set of N Zeno-based samplings along the channel.

Zeno to the rescue: Tackling the Covid Pandemic with advanced quantum physics

​Covid-19 is a pandemic threat caused by a recently emerged coronavirus (CoV) containing a single-stranded positive-sense RNA genome encapsulated within a membrane envelope. The viral RNA offers valuable drug targeting opportunities, as its heterogeneous dynamic nature, opens numerous possibilities of locking it into non-pathogenic states.  Nuclear Magnetic Resonance (NMR) is a tool that ideally posed to help in this task. NMR can “see” the environment of each atomic side in the RNA -or in proteins, or in sugars– by looking at the nuclear “spins”: a physical property whereby each atom behaves like a microscopic “quantum compass needles”.  NMR is a powerful tool for screening pharmaceuticals and help in rational drug design and could be of decisive help in helping to defeat the pandemic and other diseases – provided it gets the sensitivity needed to tackle very large structures like the Covid virus. Unfortunately, NMR is a relatively insensitive technique. One of PATHOS’s main aims is to substantially increase NMR’s sensitivity, and it tries of doing so by “cooling” the spins –that is, by introducing a stronger alignment the “quantum compass needles” without using a bigger magnet, and of course while keeping the sample at physiological room temperature. To do so we rely on a variant of the Zeno effect; a phenomenon that finds its source in paradoxes that Zeno of Elea posed some 2500 years ago. According to Zeno’s paradox –which had to wait for calculus to appear in order to be fully resolved– multiple observations of a moving object would “stop” the object. As Ben Franklin said “A watched pot never boils”. These classical paradox finds a one-to-one translation in the quantum world: doing repetitive observations –projections, in quantum parlance– stops a system evolution. This is known as the quantum Zeno effect.  The PATHOS network members have discovered, however, that the quantum world offers the possibility of a most counterintuitive “anti-Zeno effect” (AZE), whereby projective measurements actually speed up the time evolution of the system. The NMR experiments in PATHOS build on this quirky quantum effect, to sensitize by tens and hundreds of times the sensitivity per unit time of certain NMR experiments.  In particular, it has developed a series of experiments that enables the study RNA regions taken from the SARS-CoV-2 virus. Our main goals include extending the power of AZE to other NMR experiments, including insight to facilitate the guided screening of small molecules’ binding to RNA, that could eventually support drug development campaigns. 
 
For additional information on this project, see L. Frydman’s video in Bruker video interview:  https://www.bruker.com/it/products-and-solutions/mr/make-mr-more-relevant/covid19-nmr-consortium.html, or written article in  https://www.bruker.com/en/landingpages/bbio/resolution-in-a-new-dimension-for-solving-challenges-of-society/israeli-scientists-collaborate-to-speed-up-covid-19-rna-research-using-ultra-sensitive-nmr-techniques.html.
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A 3D heteronuclear-resolved version for structural NMR is introduced based on AZE-derived effects, where sensitivity is enhanced by ≈2-5x as compared to conventional counterparts. The enhanced signal sensitivity can greatly facilitate RNA assignments and secondary structure determinations, as demonstrated by Kim et al (JACS, 2021) with the analysis of genome fragments derived from the SARS-CoV-2 virus.

More details for Experts

As part of our PATHOS research project, we have focused on the experimental platform of nitrogen-vacancy (NV) defects in diamond. We developed novel techniques for manipulating and controlling NVs, in the context of open quantum dynamics, quantum sensing, compressed sensing and many-body dynamics:
​
  • Quantum sensing
The quantification of radical concentration and dynamics is a long-standing problem, with broad relevance in the fields of chemistry and biology, as such radicals play important roles in various catalytic processes. Existing schemes for sensing radicals usually require invasive modifications of the sample (or non-in-situ measurements), low spatial resolution and/or limited sensitivity.
We developed an optical microscope based on shallow NVs in a diamond substrate, in which the radical sample placed near the diamond modifies the NV charge state, leading to changes in the measured fluorescence spectrum. We have demonstrated this effect using hydroxyl radicals, exhibiting direct, non-invasive measurement of radical concentrations, with a sensitivity of  and a spatial resolution of  [Y. Ninio et. al., ACS Photonics, 8,1917-1921 (2021)].
 
We have further addressed the limited bandwidth of NV-based magnetic sensing in the large-field regime, by utilizing compressed sensing techniques to improve the accuracy of sub-sampling. We demonstrated significant improvements of the resulting measurement error, specifically for short-time measurements [G. Haim et. al., in preparation].
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  • Spin bath cooling (hyperpolarization)
We studied the quantum many-body dynamics of an interacting open spin system (ensemble of NV centers), coupled to a spin bath (nuclear spins of a target sample). This scenario addresses the basic aspects of PATHOS in terms of system-bath coupling and control, and connects to real-world applications, such as enhanced sensitivity in sensing magnetic samples and hyperpolarization of samples for NMR/MRI.
We analyzed these dynamics theoretically and developed a general framework for the control of interacting spin systems in the average Hamiltonian picture [K. Ben’Attar et. al., PRR 2, 013061 (2020)]. We then utilized this framework to develop and optimize a polarization transfer scheme which combines resonant transfer approaches (such as Hartmann-Hahn) with decoupling protocols. We showed that our approach can improve over existing methods in terms of achievable polarization level and speed of polarization transfer [K. Ben’Attar et. al., in preparation].
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Sensing via Zeno effects

Following the results of this work, after an initial feasibility study a second experiment involving Zeno-dynamics for stochastic noise sensing in optical systems is now ongoing. Suppose to have a system with D possible noise sources, stochastically distributed with different probabilities within our channel; the main purpose of this experiment is to reconstruct such noise probability distribution by performing a set of N Zeno-based samplings along the channel.
To do so, we exploit an optical setup in which a laser, collimated in a Gaussian mode and prepared in the polarisation state |+⟩=1/√2 (|H⟩+|V⟩), is sent to a series of N=6 steps, each composed of a pair of birefringent crystals and a polariser projecting the photons onto the |+⟩ state. In each step, a birefringent crystal pair (playing the role of our stochastic noise) can be chosen among a set of D=5 possible thickness entries (0, g, 2g, 3g, and 4g, being g the minimum thickness available). At the end of the optical path, photons are detected by an EM-CCD: from the final photon count distribution registered by the EM-CCD, we are able to extract the exact number and type of birefringent crystals encountered by the photons, i.e. the probability distribution of the D noise sources along our optical channel. ​
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(Anti-)Zeno based noise diagnostics: results for positive (left), null (middle) and negative (right) noise temporal correlations, with (in blue) and without (in yellow) frequent measurement on the single photon.

AZE for Biomolecular NMR Improvements

​The bulk of the magnetic resonance work done at Weizmann in this project’s WP1: Demonstrate anti-Zeno-effects (AZEs) for enhancing the sensitivity of homonuclear and heteronuclear transfer experiments.  We have found significant successes when applying AZE concepts within the framework of in vitro NMR investigations –particularly within the framework of SARSCoV-2 biophysical elucidations. Indeed, it was foundusing AZE- related concepts that these approaches could lead to sizable enhancements in cross-peaks arising between exchangeable and non-exchangeable protons in crucial homonuclear experiments like NOESY or TOCSY. These enhancements are particularly strong for intrinsically for the rapidly exchangingimino, amino and hydroxyl sugar protons in sugars and in RNAs, as described in numerous recent PATHOS-acknowledging publications (Novakovic et al, “Hadamard magnetization transfers achieve dramatic sensitivity enhancements in homonuclear multidimensional NMR correlations of labile sites in proteins, polysaccharides and nucleic acids”, Nature Communications 11, 5317, 2020; Novakovic et al, “Magnetization transfer to enhance NOE cross-peaks among labile protons: Applications to imino-imino sequential walks in COVID-derived RNAs”, Angewandte Chemie, 60, 11884, 2021; Novakovic et al, “The Incorporation of Labile Protons into Multidimensional NMR Analyses: Glycan Structures Revisited”, J. Am. Chem. Soc.,143, 8935, 2021). This becomes particularly important in the elucidation of nucleic acids, including RNAs like those forming the genome of the SARS-CoV-2 viruses.  We have recently observed that these AZE-related sensitivity enhancements can lead to ≥ 500-fold reductions in the effective acquisition times involved in observing NOE-derived cross-peaks  involving  imino  protons.  Such  experiments  are  crucial  in establishing the chemical  identity  and  the  structure  of  SARS-CoV-2  RNAs.  Such sensitivity-enhancing performance maximizes at ultrahigh fields, opening up an even brighter future when implemented inmachines like the 1 GHz NMR that operates at the Weizmann. In this respect, we envision that the AZE-likeeffects facilitating these sensitivity enhancements will also be evidenced when using NMR to assay the binding of small molecules to larger constructs –with the dynamic on/off effects of the binding taking the role adopted by the labile imino protons. This means that binding studies of small molecules (e.g., drugs) to RNAs and proteins, will also be greatly facilitated by this new kind of methods. In addition to this progress entailing homonuclear correlations, we also tested the advantages of AZE-related concepts in heteronuclearpolarization transfer processes. Once again, our AZE proposals lead to distinct advantages that we have started to describe in PATHOS acknowledging publications (Kim et al, “3D Heteronuclear Magnetization Transfers for the establishment of secondary structures in SARS-CoV-2-derived RNAs”, J. Am. Chem. Soc., 143, 4942, 2021) utilizing again data collected on fragments derived from the SARS-CoV-2 RNA. This kindof experiments relate to WP1’s AZE to optimize heteronuclear polarization transfer milestone. This research is also particularly relevant for labile hydrogens in general and for RNAs imino and intrinsically disordered protein amide sites in particular; these are normally resolved thanks to heteronuclear correlation experiments to their bound 15N and, in effecting this, solvent exchanges act as a well-known, harmful source ofdecoherence. Using advanced quantum-mechanical simulations that incorporate both the NMR dynamics as well as relaxation and chemical exchange superoperators, we found that our hypothesis concerning thesuperiority of cross-polarization-related procedures for implementing these heteronuclear transfers over commonly-used INEPT counterparts, were well founded. We are now working on tailoring these experiments to imino RNA 1H-15N pairs, once again in the hope of bringing the enhancements afforded by theseconcepts into our coronavirus-related research efforts.

PATHOS Deliverables so far

Deliverable Number

Deliverable Title

WP

Lead beneficiary

Type

Dissemination Level

Due Date

(in months)

D4.1

WEB

4

UNIFI

Web, etc.

Public

2

D4.2

Data Management Plan

4

Weizmann

ORDP

Public

6

D4.9

Dissemination & Exploitation Plan 1

4

Weizmann

Report

Confidential

6

D2.5

Non-Markovian probes

2

UNIFI

Report

Public

11

D1.5

AZE heteronuclear

1

Weizmann

Report

Confidential

12

D1.6

AZD homonuclear

1

Weizmann

Report

Public

12

D3.5

NV imager

3

HUJI

Report

Public

12

D3.6

Optical CS imaging

3

HUJI

Report

Public

12

D2.6

DD Spectral density

2

TUDO

Report

Public

18

D1.1

AZE cooling

1

Weizmann

Report

Public

24

D2.1

DD probing

2

UNIFI

Report

Public

24

D3.1

NV-imaging + CS

3

HUJI

Report

Public

24

D3.7

ODMR neurons

3

INRIM

Report

Public

24

D1.2

ADRT cooling

1

HUJI

Report

Public

36

D2.2

Optical ZD

2

INRIM

Report

Public

36

D2.3

Correlated spectra

2

HUJI

Report

Public

40

D3.2

Magnetic sensing

3

TUDO

Report

Public

36

 

Public deliverable reports:
D4.1 WEB
D4.2 Data Management Plan
D2.5 Non-Markovian Probes
D1.6 AZD homonuclear
D3.5 NV imager
D3.6 Optical CS imaging
​D2.6 Spectral density
D1.1 AZE cooling: Refs. 23-25, 33-34 in Dissemination
D2.1 DD probing
D3.1 NV-imaging+CS
D3.7 ODMR neurons
D.1.2 ADRT cooling
D2.2 Optical ZD
D2.3 Correlated spectra
D3.2 Magnetic sensing

Work performed from the beginning of the project

​
​During the first reporting period of PATHOS, we have advanced as planned towards the expected long-term objectives. From the theory side, we have introduced conceptually novel approaches to the enhancement of heteronuclear spin-polarization transfer by means of repeated measurements, phase flips or spin-orientation flips for one of the spin species (alias the probe). Secondly, we have proposed new optics experiments for Zeno-based noise spectroscopy and studied several aspects of non-Markovian probes where the noise is correlated in time.
From the experimental side, we have constructed a widefield NV-based magnetic microscope, to form the basis for the experimental demonstrations in this project. We have initiated studies of enhanced magnetic sensing capabilities through compressed sensing techniques. We have developed novel schemes for controlling dense, interacting spin ensembles, through robust pulses relying on rapid adiabatic passage, as well as generalized sequences based on the icosahedral symmetry group. Besides, we have studied spin bath coupling through advanced noise spectroscopy schemes, achieving both efficient bath characterization using uneven echo sequences, as well as detailed spectroscopy with modulated, continuous control (the gDYSCO scheme).

During its second reporting period, at Weizmann we have found that the Anti-Zeno Effect (AZE) can lead to ≥500-fold reductions in the effective acquisition times in NMR experiments that are crucial for assigning protons in RNAs like those forming the genome of the SARS-CoV-2 viruses. In parallel, at HUJI we have developed and demonstrated enhanced magnetic and noise sensing using our diamond-based magnetic microscope, along with a novel optical scheme for radical concentration characterization. At INRIM we have completed the realization of an optical set up for quantum Zeno measurements (started during RP1). In addition, we have exploited our ODMR setup for magnetic sensing, showing 40 nT/Hz^1/2 magnetic sensitivity in continuous excitation and 70 nT/Hz^½ in biocompatible conditions. Furthermore, while at TUDO new dynamical decoupling (DD) pulse sequences have been proposed and experimentally tested in MRI systems, at UNIFI we have also started to develop other optimization methods based on Machine Learning (ML) methods, to predict the unknown noise spectrum avoiding the very large sets of DD measurements.

During its third reporting period, we have performed (at Weizmann) further experimental progress on the use of AZE to optimize heteronuclear polarization transfer in the presence of fast solvent chemical exchanges, demonstrating sensitivity-enhancing performance on RNA fragments derived from the SARS-CoV-2 genome. Novel 2D NMR techniques has been experimentally implemented it on murine brains in vivo at 15.2 T and ex vivo at 14.1 T. At HUJI we have further contributed to the use of NVs for enhanced sensing, aimed at using shallow NVs for thermal sensing and relaxometry in biological contexts. We have also studied advanced control techniques based on compressed sensing (CS) for improved sensitivity in ODMR. At INRIM, we have developed a dedicated setup for the simultaneous detection of neural cell activity and temperature NV sensing. Furthermore, we have published in Phys. Rev. Lett. a joint, involving INRIM, UNIFI and Weizmann, on Zeno-based photonic noise sensing. Another theoretical and experimental collaboration involving the same three PATHOS partners has led to another noise-sensing technique being able to unravel microscopic noise events affecting a continuous variable of a quantum system. At INRIM we have also demonstrated for the first time the detection of neural temperature variations (1 °C) associated with potentiation and inhibition of neuronal firing, by exploiting a nanoscale NV thermometer based on nanodiamond ODMR. Finally, at UNIFI, we have designed a new protocol of quantum pattern recognition, tested also on binary images of human blood vessel obtained from MRI (at TUDO).​


PATHOS Objectives

Objective WP1: Achieving orders-of-magnitude improvement of imaging, spectroscopy and/or thermometry resolution/quality, by experimentally demonstrating the efficacy of conceptually innovative dynamically controlled cooling schemes, pioneered by our partners, based on alternating coherent and stochastic spin control pulses, towards realistic NMR/MRI medical diagnostic applications.
 
Objective WP2: Exploit optimal control theory to extract more information from the noise that the bio-system exerts on the probes, to be compared with the existing diagnostic schemes and tested with NV centre and NMR platforms.
 
Objective WP3: Develop and demonstrate novel data processing tools, and utilize information from environment correlations, combining the WP2 tools with CS schemes and testing them on NV, MRI and optical platforms.
 
In order to further proceed towards these objectives, we have implemented the expected tasks for each WP with an overall progress being well inline with PATHOS planned research activities.
 

Objectives achieved in RP2

  • Novel control schemes for enhanced sensitivity and polarization transfer. The polarization transfer rate has been improved by over a factor of 2.
  • Demonstration of NV magnetic sensing with compressed sensing, achieving improved bandwidth and sensitivity. Achieved bandwidth improvement (for similar sensitivity) of over a factor of 4. 
  • Study of multiple spin baths - characterization of radicals through noise on shallow NVs, demonstrating a sensitivity of ~10 nMol/Hz^½ with sub-micron resolution.
  • AZE-related sensitivity enhancements up to ≥500-fold reductions in the effective acquisition times for NMR experiments involving RNA imino protons, like those forming the genome of the SARS-CoV-2 viruses.
  • Temperature sensing (with possible application in biological samples) based on ODMR measurement (sensitivity 5 mK/Hz^½) in bulk diamond.
  • ODMR sensing protocols with NV centres showing 40 nT/Hz^1/2 magnetic sensitivity in continuous excitation (70 nT/Hz^½ in biocompatible conditions).
  • Discrimination between Markovian and non-Markovian noise sources via machine learning algorithms with a theoretically predicted classification mean absolute error of around 5% (that will be experimentally tested).
  • Automatic assignment of MRI voxels to tissue / liquid with high fidelity.
  • Efficient quantum state tomography for 2 spin qubits of NV center with the minimum number of measurements (16) and high fidelity (99%).


Objectives achieved in RP3

  • A complex molecular environment (as murine brain) was explored using both in and ex vivo at high (14.1, 15.2T) fields, using both conventional 2D NMR and our new AZE technique. In conjunction, these high field experiments have revealed ca. 10 and 29 metabolites in  in and ex vivo, respectively, and lead to the assignment of 137 cross-peaks in total. 
  • Neuronal temperature variation (1K) at single-cell level correlated to modified network firing pattern detected via nanodiamond sensor based on optically detected magnetic resonance.
  • Theoretical schemes for enhanced sensitivity and polarization transfer in spin networks have been developed to fight disorder localization. Network symmetry bottlenecks have been identified and their overriding is being sought (in progress).
  • Theoretical and experimental demonstration of NV-spin coherence time enhancement by 10^3 due to nuclear spin bath noise filtering via AZE measurements.
  • Single-spin sensor for RF fields with unknown frequency, phase and orientation.
  • Extended measurement times for hybrid electron-nuclear spin system beyond T1(electron).
  • Enhanced stability and coherence of shallow NVs through novel nitrogen termination processes, enabling higher sensitivity noise sensing and coupling to external spin baths (in collaboration with Alon Hoffman).
  • Enhanced coupling and polarization transfer between NV and the surrounding nuclear spin bath, through tuning the magnetic field through the level anticrossing, leading to longer coherence times (T2*, by up to almost a factor of 2).
  • Demonstrate robust noise characterization, specifically correlations in spin-bath environments, through novel control and fidelity measurement schemes, suppressing effects of coherent errors (in collaboration with Raam Uzdin).
  • Enhanced magnetic sensing (in the context of ODMR) through both compressed sensing and machine learning schemes (HUJI-UNIFI) - achieve nearly order-of-magnitude improvement in the sensitivity-bandwidth product.
  • Advanced implementations of noise sensing (developed previously in the context of radicals) to singlet-triplet transitions in retinal excitation dynamics and to noise in magnetic excitations.
  • Advanced theoretical analysis of the control and polarization transfer in interacting spin ensembles, working toward characterization of the interplay between interactions and disorder, further improved polarization transfer schemes, and rigorous description of the coherence decay in relevant scenarios.
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