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  "path": "/papers/q-2026-04-01-2051/",
  "publishedAt": "2026-04-01T11:59:21.000Z",
  "site": "https://quantum-journal.org",
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    "https://doi.org/10.22331/q-2026-04-01-2051"
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  "textContent": "Quantum 10, 2051 (2026).\n\nhttps://doi.org/10.22331/q-2026-04-01-2051\n\nMaximal sets of mutually unbiased bases are useful throughout quantum physics, both in a foundational context and for applications. To date, it remains unknown if complete sets of mutually unbiased bases exist in Hilbert spaces of dimensions different from a prime power, i.e. in composite dimensions such as six or ten. Fourteen mathematically equivalent formulations of the existence problem are presented. We comprehensively summarise analytic, computer-aided and numerical results relevant to the case of composite dimensions. Known modifications of the existence problem are reviewed and potential solution strategies are outlined.",
  "title": "Mutually Unbiased Bases in Composite Dimensions – A Review"
}