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Microwave single-photon detection using a hybrid spin-optomechanical quantum interface

MetadataDetails
Publication Date2025-10-21
Journalnpj Quantum Information
AuthorsPratyush Anand, Ethan G. Arnault, Matthew E. Trusheim, Kurt Jacobs, Dirk Englund
AnalysisFull AI Review Included
  • Core Value Proposition: Proposal for a hybrid spin-optomechanical interface utilizing Silicon-Vacancy (SiV-) centers in diamond to achieve high-efficiency, low-noise single microwave (MW) photon detection at cryogenic temperatures.
  • Architecture: The system couples MW photons to a phononic resonator via piezoelectric actuation. The phononic cavity is integrated with SiV- spins, allowing the MW state to be mapped onto the electron spin state, which is then read out optically.
  • Performance Metrics: Simulations predict a maximum detection success probability (Ps) of 0.94 and a mutual information I(A; B) up to 0.676 ln(2) for cavity-confined detection (Scheme A).
  • Traditional Counter Performance: The traditional photon counter architecture (Scheme C, Ensemble Mapping) achieves Ps = 0.912 and a low dark count rate (D) of 0.216 kHz, suggesting near state-of-the-art performance for low-noise applications.
  • Speed and Bandwidth: The fastest protocol (Scheme A) has a total time of 2.6 ”s, while the instantaneous bandwidth (IBW) is highest for the traveling-wave schemes (Schemes B/C) at 0.25 MHz.
  • Key Advantage: Leveraging the long coherence times (T2 up to 13 ms) of SiV- spins to preserve the incoming quantum state over long periods, enabling integration into broader quantum network components.
  • Operating Environment: Requires operation within a dilution refrigerator at temperatures around 100-500 mK to maintain low thermal photon background (nth ~ 0.1).
ParameterValueUnitContext
Operating Temperature~mKKelvinThermal equilibrium with dilution refrigerator
Thermal Photon Background (nth)~0.1PhotonsAt cryogenic operating temperature
SiV Electron Spin T2 (Typical)4”sAt 100-500 mK
SiV Electron Spin T2 (Decoupled)1-10msWith dynamical decoupling sequences
Optical Readout Fidelity (Demonstrated)>99.9%High-fidelity single-shot readout
Optimal Single-Shot Readout Time (TSSR)~300nsFor Schemes A and B
Scheme A (QST) PerformanceCavity-confined detection
Success Probability (Ps)0.94-True Positive rate
Dark Count Rate (D)23kHzFalse Positive rate per detection interval
Total Protocol Time (TPR)2.6”sTLI + TQST + TSSR
Instantaneous Bandwidth (IBW)0.01MHzLimited by MW cavity linewidth
Mutual Information I(X; Y)0.676 ln(2)-Maximum correlation achieved
Scheme C (EnM) PerformanceTraditional photon counter (Ensemble)
Success Probability (Ps)0.912-True Positive rate
Dark Count Rate (D)0.216kHzLowest dark count rate achieved
Total Protocol Time (TPR)0.408msTLI + TEnM + TDR
Instantaneous Bandwidth (IBW)0.25MHzTunable via optimal drive gpe(t)
Dispersive Readout Fidelity (F)0.924-Achieved via phase shift measurement
Phononic Cavity Decay Rate (Îłph/2π)5kHzUsed for dispersive readout simulation

The detection process is divided into three stages: Initialization, Mapping (Transduction), and Readout.

  1. Initialization (Laser Initialization, LI):

    • The system is cooled to cryogenic temperatures (~mK) to minimize thermal noise.
    • A laser is used to drive the SiV- center, initializing the electron spin state to the |down> state via the nonzero cyclicity of optical transitions.
  2. Mapping (MW Photon State Transduction):

    • Quantum State Transduction (QST, Scheme A): Used for detecting cavity-confined photons.
      • The tunable electro-mechanical coupling (gmp(t)) is switched ON to swap the MW photon state into the phononic cavity state.
      • The spin-strain coupling (gpe(t)) is then switched ON to swap the phonon state into the SiV- electron spin state.
    • Adiabatic Mapping (AdM, Scheme B): Used for traveling-wave photons with known arrival time/shape.
      • The coupling gmp is always ON. The drive gpe(t) is tailored (optimized hyperbolic secant pulse) to maximize transfer efficiency of the incoming MW wavepacket to the electron spin.
    • Ensemble Mapping (EnM, Scheme C): Used for arbitrary incident photons (traditional counter).
      • The MW photon is coupled to an ensemble of SiV- centers.
      • The bright collective spin state, initially excited by the photon, irreversibly dephases into the dark collective spin states due to ensemble inhomogeneity (T2 timescale), effectively absorbing the photon.
  3. Readout (Spin State Measurement):

    • Single-Shot Readout (SSR, Schemes A/B): Used for single SiV- centers.
      • Cavity-enhanced optical readout is performed by probing the cavity transmittivity with a laser pulse (duration T ~300 ns).
      • The cavity transmission/reflection coefficient depends on the SiV- spin state, allowing non-destructive measurement.
    • Dispersive Readout (DR, Scheme C): Used for the SiV- ensemble.
      • Stage 1 (Coherent Drive): A coherent drive populates the phononic cavity mode (target occupation ncrit ~ 5377).
      • Stage 2 (Phase Evolution): Phonons interact with the spin ensemble, accumulating a phase shift in the coherent state proportional to the collective spin excitation.
      • Stage 3 (Detection): Heterodyne detection measures the phase and amplitude of the output from the cavity, distinguishing between the presence (N=1) or absence (N=0) of the MW photon.
Industry/SectorApplication/ProductRelevance to Paper
Quantum ComputingHigh-fidelity, non-destructive qubit readout and state verification.Scheme A (QST) is ideal for detecting photons within a superconducting quantum processor cavity.
Quantum CommunicationSingle-photon receivers for long-distance quantum networks.Scheme B (AdM) provides efficient detection for known wavepackets in communication protocols.
Quantum Networks & MemoryHybrid quantum transducers and spin-based quantum memories.SiV- long coherence times (T2 up to 13 ms) allow the device to function as a memory-integrated detector.
Cryogenic InstrumentationUltra-low noise microwave photon counters for dilution refrigerators.Provides a high-efficiency alternative to current quantum-limited amplifiers and homodyne measurement techniques.
Quantum Sensing & MetrologyHigh-sensitivity detection of weak microwave fields or anomalies.Scheme C (EnM) acts as a traditional photon counter with a very low dark count rate (0.216 kHz).
View Original Abstract

Abstract Semiconductor single-photon detectors cannot be straightforwardly adapted for the microwave regime, primarily because microwave photons carry far less energy and thus require cryogenic temperatures and specialized architectures. Here, we propose a hybrid spin-optomechanical interface to detect single microwave photons where the microwave photons are coupled to a phononic resonator via piezoelectric actuation. This phononic cavity also acts as a photonic cavity with either a single embedded Silicon-Vacancy (SiV−) center in diamond or an ensemble of these centers, bridging optical single-photon detection protocols into the microwave domain. We model the detection process as a communication channel whose capacity is quantified by the mutual information I(A; B) between the true photon occupancy (A) and the detector outcome (B). Depending on experimentally achievable parameters, simulations predict I(A; B) in the range $$0.57,\ln (2)$$ 0.57 ln ( 2 ) to $$0.67,\ln (2)$$ 0.67 ln ( 2 ) , corresponding to true-positive (detection) probabilities above 90% and false-positive (dark count) probabilities below 10% per detection interval. These results suggest a viable path to low-noise, high-efficiency single-photon detection at microwave frequencies.