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Mapping a 50-spin-qubit network through correlated sensing

MetadataDetails
Publication Date2024-03-05
JournalNature Communications
AuthorsG. L. van de Stolpe, Damian Kwiatkowski, C. E. Bradley, J. Randall, M. H. Abobeih
InstitutionsElement Six (United Kingdom), University of Pennsylvania
Citations27
AnalysisFull AI Review Included
  • Record Spin Network Mapping: Successfully mapped a network of 50 coupled 13C nuclear spins surrounding a single Nitrogen-Vacancy (NV) center in diamond, a significant increase over previous state-of-the-art systems (up to 27 spins).
  • High-Resolution Correlated Sensing: Developed and applied concatenated double-resonance sequences to measure connected spin chains, directly resolving network connectivity and overcoming spectral crowding.
  • Spectral Resolution Breakthrough: Achieved T2-limited spectral resolution for spin frequencies (Ai) by integrating electron-nuclear double resonance, improving distinction by approximately 75 times compared to T2*-limited methods.
  • Comprehensive Characterization: The mapping characterized 1225 spin-spin interactions, providing a complete connectivity graph and a validated 3D spatial reconstruction of the 50-qubit register.
  • Enabling Quantum Simulation: The results provide a basis for universal quantum control and readout of a large, programmable solid-state spin register for quantum simulation and computation.
  • Advanced Nano-MRI: The correlated sensing methods are applicable to high-resolution nano-scale magnetic resonance imaging (nano-MRI) of complex spin systems external to the diamond host crystal.
ParameterValueUnitContext
Mapped Spin Count50spins13C nuclear spin network around a single NV center.
Spin Interactions Mapped1225interactionsTotal spin-spin couplings characterized.
Operating Temperature3.7KPerformed using a Montana S50 Cryostation setup.
External Magnetic Field (Bz)403.553GApplied along the NV symmetry axis.
Diamond MaterialHomo-epitaxially grownN/ASample has a natural abundance of 1.1% 13C.
NV Electron T2 (Hahn Echo)1.182(5)msElectron spin coherence time.
Nuclear Spin T2 (Max)0.77(4)sHahn-echo coherence time for isolated nuclear spins.
Nuclear Spin T2* (Inhomog.)~5msTypical inhomogeneous dephasing time.
High-Resolution Linewidth1.8HzAchieved for a specific nuclear spin (Ai = 14549.91(5) Hz).
Spectral Resolution Improvement~75timesImprovement over T2*-limited methods (e.g., 135 Hz to 1.8 Hz).
NV Readout Fidelity (Avg)0.938(2)N/AAverage fidelity for the electronic spin state readout.
MW Pulse Frequency1.746666 (4.008650)GHzUsed for driving electronic ms = 0 → ms = ±1 transitions.
  1. Sample Environment Control: Experiments were conducted on a naturally occurring NV center in a 1.1% 13C diamond sample at 3.7 K, utilizing a gold stripline for applying microwave (MW) and radio-frequency (RF) pulses, and a solid immersion lens (SIL) for enhanced optical readout.
  2. Spin Polarization: The nuclear spin bath was polarized using the PulsePol dynamical-nuclear-polarization (DNP) sequence, transferring polarization from the electron spin to the nuclear spins to maximize the measurable signal.
  3. Spin-Chain Sensing (Correlated SEDOR): Developed concatenated double-resonance sequences (extending the standard SEDOR protocol) to measure chains of coupled spins (up to 5 spins). This technique correlates multiple spin frequencies (Ai) and couplings (Cij) in a single measurement, directly revealing network connectivity and reducing ambiguity from spectral overlap.
  4. T2-Limited Frequency Spectroscopy: Implemented an electron-nuclear double-resonance block within the sensing sequence. By controlling the electron spin state, the hyperfine shift (Ai) was recoupled while decoupling the nuclear spin from quasi-static noise, achieving a high spectral resolution limited by the nuclear T2 time.
  5. Network Reconstruction Algorithm: The network was mapped using a graph search procedure (breadth-first-like search, rooted at the NV electron spin). Measured spin chains were iteratively fused based on overlapping vertices and edges, generating a hypothesis for the network connectivity.
  6. 3D Spatial Validation: The connectivity map was validated and refined using a positioning algorithm that models nuclear-nuclear couplings as dipolar interactions and constrains spin positions based on the measured hyperfine shifts (Ai) and the diamond lattice structure.
  • Quantum Computing and Simulation: The 50-qubit register provides a robust, scalable platform for developing and testing quantum algorithms, particularly for simulating complex many-body physics and quantum chemistry.
  • Quantum Memory and Networks: The characterized nuclear spin network serves as a high-coherence quantum memory register (T2 up to 0.77 s), essential for building long-distance quantum communication networks and performing entanglement distillation.
  • Nano-Scale Magnetic Resonance Imaging (Nano-MRI): The high-resolution, correlated sensing techniques are directly applicable to next-generation nano-MRI, enabling the magnetic imaging and spectroscopy of complex biological samples (e.g., single proteins) and quantum materials with high spatial and spectral precision.
  • Advanced Quantum Sensing: Provides a precise understanding of the local noise environment and hyperfine tensor, which is critical for optimizing the fidelity of quantum control gates (e.g., CNOT gates) in solid-state spin registers.
  • Defect Physics and Materials Science: Offers a testbed for studying the coherence of solid-state spins on a microscopic level, allowing for quantitative tests of open quantum systems and theoretical predictions for defect spin systems (like the NV center).