Quantum Noise Calculator
Enter optical power or photon rate. The Quantum Noise Calculator instantly computes shot noise, standard quantum limit (SQL), and squeezing improvement.
About the Quantum Noise Calculator
The Quantum Noise Calculator is a precise, scientifically accurate tool that computes fundamental quantum noise limits in optical measurements — shot noise, the standard quantum limit (SQL), and improvement from squeezing. This Quantum Noise Calculator implements the exact formulas from quantum optics for photon shot noise and vacuum fluctuations. Proudly supported by Agri Care Hub.
Scientific Formulas
Photon shot noise: ΔN = √⟨N⟩
Relative shot noise: ΔP/P = 1/√⟨N⟩
SQL for phase/interferometry: Δφ_SQL = 1/√⟨N⟩
Squeezed: Δφ = Δφ_SQL × 10^(-S_dB/20)
Why This Calculator Is Essential
Quantum noise sets the ultimate limit in: • Gravitational wave detection (LIGO) • Precision interferometry and atomic clocks • Optical communication • Quantum imaging and microscopy • Laser radar and sensing Shot noise is the fundamental quantum limit for classical states — squeezing beats it.
How to Use
- Enter optical power P in watts.
- Enter wavelength λ in nm.
- Enter squeezing level in dB (positive = below SQL).
- Enter measurement bandwidth Δf.
- Click “Calculate Quantum Noise”.
When Should You Use This Tool?
- Precision measurement and metrology
- Gravitational wave detector design
- Quantum-enhanced sensing
- Optical communication SNR
- Quantum optics research
- Teaching quantum limits
Scientific Foundation
Quantum noise arises from vacuum fluctuations and photon shot noise, setting the standard quantum limit (SQL). Squeezed light reduces noise in one quadrature below the vacuum level. These limits are fundamental in quantum optics and precision measurement. Full theory at Quantum Noise on Wikipedia and Caves & Schumaker papers.
Conclusion
The Quantum Noise Calculator brings the fundamental limits of measurement to your browser — with perfect accuracy and beautiful design. Whether you’re a student learning quantum limits, a researcher designing LIGO-like detectors, or an engineer building quantum sensors, this tool delivers precise results every time. For more quantum tools, visit Agri Care Hub.