Light in a Triangle: Secrets of Collective Quantum Connection express

Original: "Fully-connected three-mode squeezed vacuum: Gaussian entanglement, steering, and collective photon subtraction"
arXiv:2607.17629 · 2026-07-20 · CC BY 4.0 · 2 min
Physicists have created a special three-color beam where light particles are linked in a triangle, and found that their quantum connection works only collectively, not pairwise.

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Three laser beams intertwine into a triangle. Each is linked to the other two: this is the structure of the new scheme that physicists call "fully connected three-mode squeezed vacuum." This is not just three independent light sources: inside a special crystal, triples of entangled photons are born, and the connection between them resembles a complete graph of three points, where all possible lines are drawn.

Squeezed vacuum is a state of light where quantum fluctuations of one characteristic (e.g., phase) are reduced, while those of another are increased, as if we squeezed a balloon: it becomes narrower in one place but wider in another.

The main surprise: pairwise control of these beams is impossible. If you take any two of the three, the quantum influence of one on the other (the so-called "steering") is zero. This is like three people holding hands in a circle: individually, no one leads anyone, but together they can move in harmony. However, you can direct one beam to control the remaining two simultaneously: this is collective steering, and it is stronger the brighter the light.

Experimentalists can test such a connection using three special tests: they are called "Armstrong witnesses." In the triangular scheme, all three tests fire, while in the chain scheme, only one does.

The physicists also tested how robust this connection is to losses. Light passes through fogged glass: at 50% losses, collective steering of one beam over two disappears when the glass transmits only 58% of the light. In contrast, the reverse steering, two beams over one, holds up to 50.2% transparency. The quantum entanglement itself between particles does not vanish as long as any light passes through the glass. Finally, the authors added another trick: if you "subtract" one photon not from a single beam but from a mixture of two beams, a special quantum ripple (negativity of the Wigner function) appears in the remaining light, even with losses up to 33%.

In the chain scheme, where beams are connected sequentially (like train cars), only one of the three Armstrong tests shows quantum correlation. The triangular scheme, however, lights up all three: it's like the difference between a garland where bulbs are connected in a chain and a triangle where each bulb is connected to the other two.

Scientists
William WoottersShuji NakamuraJohn Stewart BellErwin SchrödingerAlain AspectCharles Townes
Concepts
three photon entanglement