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We construct an oracle relative to which $\mathsf{BQP} \not\subseteq \mathsf{IP}$, resolving a long-standing open question in quantum complexity theory. Together with recent work due to Aaronson et al., our work also gives the first oracle separation between $\mathsf{IP}$ and $\mathsf{MIP}$, answering a question dating back to Fortnow's thesis.
[Submitted on 4 Jun 2026 (v1), last revised 23 Sep 2026 (this version, v2)] View PDF HTML (experimental) Subjects: Quantum Physics (quant-ph); Cryptography and Security (cs.CR) Cite as: arXiv:2606.05527 [quant-ph] (or arXiv:2606.05527v2 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.05527
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