Quantum sensing uses quantum states to measure physical quantities with high precision and sensitivity.Quantum sensing is a high-precision measurement technology based on controlling quantum states (superposition, entanglement) to register physical fields with record sensitivity. It surpasses classical methods as it uses the discreteness and nonlocality of the quantum world.
The concept originated in the 1980s with the development of quantum optics and quantum information theories. John Bell in 1964 formulated Bell's theorem, showing the indispensability of quantum nonlocality. Alain Aspect in the early 1980s experimentally confirmed the violation of Bell's inequalities, paving the way for technologies based on entanglement. Since the 2000s, quantum sensors based on cold atoms and NV centers in diamond have been entering applied fields.
Quantum sensing works by creating sensitive quantum states, such as squeezed or entangled states, and then measuring their response to external fields. It uses effects like quantum superposition and entanglement to amplify the measurement signal. In atomic interferometers, phase calculation is done through the de Broglie formula (λ = h/p), linking the atom's wavelength to its momentum. The standard quantum limit and the Heisenberg limit are used to estimate the precision limit. Bell's theorem provides the basis for protocols where entanglement enhances sensitivity.
Helps create ultra-precise atomic clocks and gravity sensors capable of finding underground voids without excavation.
A quantum magnetometer in your smartphone could sense the heart's magnetic field from across the room if not for noise interference.
| ρ | variable | density operator of the first quantum state — density operator |
| σ | variable | density operator of the second quantum state — density operator |
| tr | operator | sums diagonal elements of an operator in any basis — trace operator |
| log | operator | takes the operator logarithm, defined via spectral decomposition — matrix logarithm |
| F | variable | Quantum fidelity between states — fidelity |
| ρ | variable | Density matrix of first quantum state — density matrix |
| σ | variable | Density matrix of second quantum state — density matrix |
| Tr | operator | Sum of diagonal elements of a matrix — trace operator |
| √ | operator | Principal square root of a positive semidefinite matrix — matrix square root |
| \Delta \theta | variable | Uncertainty in the estimated parameter — parameter uncertainty |
| N | variable | Number of independent probes or particles — particle number |
| \ge | operator | Indicates a lower bound — greater than or equal |
| b_N | variable | quantity of interest for system size N |
| N | variable | system size |
| k | variable | scaling exponent |






















