There are more entangled quantum states than non-entangled ones

the verdict

SUPPORTED

the evidence backs this

Recorded sources

2 sources for · 0 against

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Is it true that there are more entangled quantum states than non-entangled ones?

Yes. Studies examining the volume of quantum state spaces demonstrate that the relative measure of separable (non-entangled) states decreases exponentially with system dimension, meaning the vast majority of quantum states are entangled.

Verdict: SUPPORTED · 2 sources for, 0 against · Last checked 6 Aug 2026

The analysis

Papers [0] and [2] directly investigate the proportion of separable (non-entangled) versus entangled states in quantum systems using natural geometric measures. Both studies conclude that the set of separable states has a vanishing measure for higher-dimensional systems, while entanglement is typical, meaning there are vastly more entangled states than non-entangled ones as system size grows. The remaining papers do not directly address the global measure or volume comparison of entangled versus separable states across the entire Hilbert space.

Evidence for · 2

Volume of the set of separable states

1998

Demonstrates that for composite quantum systems, entanglement is typical of pure states, and the volume of separable states decreases exponentially as system dimension increases.

Get citation

Życzkowski, K., Horodecki, P., Sanpera, A., & Lewenstein, M. (1998). Volume of the set of separable states. doi.org. https://doi.org/10.1103/PhysRevA.58.883

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More for · 1

On the volume of the set of mixed entangled states II

1999

Shows that while separable states exist, the probability of a randomly chosen state being separable decreases exponentially with the system size, implying the vast majority of states are entangled.

Get citation

Życzkowski, K. (1999). On the volume of the set of mixed entangled states II. doi.org. https://doi.org/10.1103/PhysRevA.60.3496

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first checked06 Aug 2026

judged → SUPPORTED · 8206 Aug 2026

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