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Single-Shot Readout and Weak Measurement of a Tin-Vacancy Qubit in Diamond

MetadataDetails
Publication Date2024-03-19
JournalarXiv (Cornell University)
AuthorsEric I. Rosenthal, Souvik Biswas, Giovanni Scuri, Hope Lee, Abigail Stein
InstitutionsUniversity of Illinois Urbana-Champaign, Stanford University
Citations1
AnalysisFull AI Review Included
  • High-Fidelity Readout: Demonstrated single-shot electronic spin readout of a tin-vacancy (SnV-) qubit in diamond with a fidelity of 87.4%.
  • Conditional Performance: Achieved a conditional readout fidelity of 98.5% by post-selecting on the outcome of two consecutive measurements.
  • Compatibility Established: Confirmed that high-fidelity readout is compatible with rapid microwave spin control, demonstrating a favorable parameter regime for SnV- as a spin-photon interface.
  • Rapid Spin Control: Demonstrated coherent spin manipulation with a microwave π-pulse time of 80 ns at 3.677 GHz.
  • Efficiency Benchmark: Used weak quantum measurement to characterize the measurement apparatus, determining an overall measurement efficiency (η) of approximately 0.1%.
  • Qubit Robustness: SnV- utilizes a large ground state splitting (minimum 820 GHz), making it robust to thermal decoherence and enabling coherent control at temperatures greater than 1 Kelvin.
  • Fundamental Metrology: Developed a universal method using measurement-induced dephasing to characterize the efficiency of solid-state color center spin readout.
ParameterValueUnitContext
Qubit TypeSnV-N/ANegatively charged tin-vacancy center in diamond.
Operating Temperature1.7KUsed for T2 and T1 measurements.
Single-Shot Readout Fidelity (Fr)87.4%50 µs integration window.
Conditional Readout Fidelity (Fc)98.5%Conditioning on two readouts.
Measurement Efficiency (η)0.1%Overall loss between qubit and detector.
Cyclicity (Λ)2244 ± 108N/ARatio of spin-preserving to spin-flipping decay.
Polarization Rate (Γp)49.02 ± 0.72kHzRate of spin polarization at maximum cyclicity.
Microwave π-Pulse Time80nsRapid spin control demonstration.
Qubit Frequency (ωq/2π)3.677GHzUsed for 80 ns π-pulse.
Ground State Splitting (GSS)903GHzMeasured GSS for this moderately strained center.
Minimum GSS (SnV-)820GHzInherent property, allows higher temperature operation.
Coherence Time (T2CPMG-2)270 ± 30µsMeasured at 1.7 K,
Optical Decay Rate (γ)2π x (35 ± 1.6)MHzSnV- intrinsic property.
Magnetic Field Amplitude (B)125
Readout Integration Window (τ)50µsUsed for single-shot fidelity calculation.
Saturation Power (Psat)313 ± 8nWOptical drive power specified at cryostat input (Fig. 4).

The experiment utilizes a combination of optical, microwave, and magnetic field control techniques within a cryogenic confocal microscopy setup:

  1. Qubit Platform and Environment:
    • The SnV- center is located in a diamond mesa structure (1 µm height, 2.5 µm width) on a (100) diamond chip.
    • The system is cooled to 1.7 K using a cryostat.
  2. Spin State Preparation and Readout:
    • Spin Initialization: Achieved via resonant optical pumping using the A1 transition (spin-preserving) or B2 transition.
    • Optical Drive: Resonant laser light (619 nm range) is modulated by Acousto-Optic Modulators (AOMs) and an Electro-Optic Modulator (EOM) to drive the first sideband.
    • Readout: Spin-dependent photoluminescence (PL) is collected confocally, filtered to isolate the phonon sideband (PSB, using a 635 nm long pass filter), and detected by a single-photon counter.
    • Fidelity Optimization: The magnetic field (B) is precisely aligned near the spin dipole axis (azimuthal angle ζ ≈ 147°, misalignment ≈ 10°) to maximize cyclicity (Λ).
  3. Microwave Spin Control:
    • Microwaves are delivered via a wire bond draped over the diamond chip.
    • Rabi oscillations are used to demonstrate rapid coherent control (80 ns π-pulse).
  4. Noise and Stability Management:
    • Charge Resonance Checks (CRCs): Applied before and after readout steps. CRCs involve simultaneously driving both A1 and B2 transitions to ensure the qubit remains in the correct charge state and is not spectrally diffusing.
    • Post-Selection: Data analysis is post-selected based on successful CRC passes (retaining ~7.5% of total cycles) to ensure high fidelity.
  5. Weak Quantum Measurement (Characterization):
    • The qubit is prepared in a superposition state and subjected to a weak resonant laser pulse of variable power (p) and duration (τ).
    • This pulse is placed within a dynamical decoupling sequence (CPMG-2) to measure the resulting measurement-induced dephasing rate (Γφ).
    • Comparison of the dephasing rate (Γφ) and the collected photon signal (ñb - ñd) is used to calculate the measurement efficiency (η).

The SnV- platform, validated by these high-fidelity readout and control results, is highly relevant for next-generation quantum technologies, particularly those requiring robust, high-rate spin-photon interfaces.

  • Quantum Networking and Communication:
    • Quantum Repeater Nodes: SnV- is a strong candidate for building quantum repeater nodes, offering advantages over SiV- due to its robustness at elevated temperatures (several Kelvin) and high quantum efficiency (80%-90%).
    • High-Rate Entanglement Generation: The high cyclicity (Λ ≈ 2200) and strong zero-phonon line (ZPL) emission (Debye-Waller factor ~60%) promise significantly higher entanglement generation rates compared to NV- centers.
  • Solid-State Quantum Computing:
    • Quantum Memory: The long spin coherence time (T2CPMG-2 = 270 µs) enables the SnV- spin to serve as a robust quantum memory element.
    • Integrated Qubit Registers: The compatibility of SnV- with nanophotonic structures (waveguides, cavities) supports the development of scalable, integrated quantum registers.
  • Quantum Metrology and Sensing:
    • Efficiency Benchmarking: The weak quantum measurement methodology developed provides a universal tool for characterizing the efficiency and performance of readout systems across various solid-state platforms (including SiV- and superconducting qubits).
  • Diamond Material Requirements (Relevant to CVD):
    • The work relies on high-quality diamond material containing implanted SnV- centers, typically requiring High-Purity CVD Diamond for low nitrogen and defect concentrations to maximize coherence.
View Original Abstract

The negatively charged tin-vacancy center in diamond (SnV$^-$) is an emerging platform for building the next generation of long-distance quantum networks. This is due to the SnV$^-$‘s favorable optical and spin properties including bright emission, insensitivity to electronic noise, and long spin coherence times at temperatures above 1 Kelvin. Here, we demonstrate measurement of a single SnV$^-$ electronic spin with a single-shot readout fidelity of $87.4%$, which can be further improved to $98.5%$ by conditioning on multiple readouts. We show this performance is compatible with rapid microwave spin control, demonstrating that the trade-off between optical readout and spin control inherent to group-IV centers in diamond can be overcome for the SnV$^-$. Finally, we use weak quantum measurement to study measurement induced dephasing; this illuminates the fundamental interplay between measurement and decoherence in quantum mechanics, and makes use of the qubit’s spin coherence as a metrological tool. Taken together, these results overcome an important hurdle in the development of the SnV$^-$ based quantum technologies, and in the process, develop techniques and understanding broadly applicable to the study of solid-state quantum emitters.