
Quantum correlated spectroscopy is a method using quantum correlations to detect and analyze molecules with high sensitivity.Quantum correlated spectroscopy is a technique that uses pairs of entangled or otherwise quantum-correlated photons to probe molecules with sensitivity and resolution beyond what classical light can achieve. By exploiting the quantum statistics of light, it can extract information about molecular structure, chirality, or dynamics that would otherwise be masked by noise or classical limitations.
The concept emerged from quantum optics in the late 20th century, with foundational proposals in the 1990s and early 2000s, but experimental implementations have flourished only in the last decade with improved single-photon detectors and sources.
In a typical setup, a source produces pairs of correlated photons (e.g., via spontaneous parametric down-conversion). One photon interacts with the sample, while the other serves as a reference. Because the two photons share quantum correlations, measuring them in coincidence reveals interference patterns that encode the sample's properties. This allows, for instance, distinguishing left- and right-handed molecules (enantiomers) by their different response to the quantum state of light, or detecting weak signals buried in a bright background.
It is used in quantum-enhanced sensing for biomedical diagnostics, chiral molecule detection in pharmaceuticals, and in fundamental studies of light-matter interaction at the quantum level.
Quantum correlated spectroscopy can, in principle, detect a single molecule's chirality without destroying it, something classical circular dichroism struggles to do at low concentrations.
| C_{xy}(f) | variable | Magnitude squared coherence at frequency f — coherence |
| P_{xy}(f) | variable | Cross-spectral density between signals x and y at frequency f — cross spectral density watt per hertz |
| P_{xx}(f) | variable | Power spectral density of signal x at frequency f — power spectral density watt per hertz |
| P_{yy}(f) | variable | Power spectral density of signal y at frequency f — power spectral density watt per hertz |
| | \cdot | | operator | Magnitude (absolute value) of a complex number — absolute value |
| F | variable | Correlation function — correlation function |
| F_0 | variable | Normalization constant — correlation function |
| C_QE | variable | Degree of quantum entanglement — entanglement degree |
| A(\theta_1) | variable | Angular modulation factor at angle theta_1 — modulation factor |
| A(\theta_2) | variable | Angular modulation factor at angle theta_2 — modulation factor |
| \theta_1 | variable | Scattering angle for first particle — angle radian |
| \theta_2 | variable | Scattering angle for second particle — angle radian |
| \phi | variable | Azimuthal angle — angle radian |
| \cos | operator | Trigonometric cosine function — cosine |







