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the claim
There are more entangled quantum states than non-entangled ones
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
2 sources for · 0 against

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.

Evidence for · 2
Volume of the set of separable states
1998 · cited by 1,125
Demonstrates that for composite quantum systems, entanglement is typical of pure states, and the volume of separable states decreases exponentially as system dimension increases.
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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.

More for · 1
On the volume of the set of mixed entangled states II
1999 · cited by 186
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.
Everything we examined (12)
We also searched for evidence AGAINST this claim, not only for it.
  1. Volume of the set of separable statespeer-reviewedsupports
  2. Robustness of entanglementpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  3. On the volume of the set of mixed entangled states IIpeer-reviewedsupports
  4. An observable measure of entanglement for pure states of multi-qubit systemspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  5. Entanglement and Stabilizer entropies of random bipartite pure quantum statespeer-reviewedno side takennot shown: read and judged not to bear on this claim
  6. Effect of a large number of parties on the monogamy of quantum correlationspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  7. Entanglement of assistance as a measure of multiparty entanglementpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  8. Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  9. Tetrahedron genuine entanglement measure of four-qubit systemspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  10. Toward a Full Configurational Accuracy Calculation of an Arbitrary Molecule via Fragment Embedding and a Stochastic Solver.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  11. Complexity of quantum tomography from genuine non-Gaussian entanglement.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  12. Coalition of explainable artificial intelligence and quantum computing in precision medicine.peer-reviewedno side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked06 Aug 2026
judged → SUPPORTED · 8206 Aug 2026
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