Research output: Contribution to journal › Article

**Affine Constellations without Mutually Unbiased Counterparts.** / Weigert, Stefan; Durt, Thomas.

Research output: Contribution to journal › Article

Weigert, S & Durt, T 2010, 'Affine Constellations without Mutually Unbiased Counterparts', *Journal of Physics A: Mathematical and Theoretical*, vol. 43, no. 40, 402002, pp. 1-6. https://doi.org/10.1088/1751-8113/43/40/402002

Weigert, S., & Durt, T. (2010). Affine Constellations without Mutually Unbiased Counterparts. *Journal of Physics A: Mathematical and Theoretical*, *43*(40), 1-6. [402002]. https://doi.org/10.1088/1751-8113/43/40/402002

Weigert S, Durt T. Affine Constellations without Mutually Unbiased Counterparts. Journal of Physics A: Mathematical and Theoretical. 2010 Oct 8;43(40):1-6. 402002. https://doi.org/10.1088/1751-8113/43/40/402002

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title = "Affine Constellations without Mutually Unbiased Counterparts",

abstract = "It has been conjectured that a complete set of mutually unbiased bases in a space of dimension d exists if and only if there is an affine plane of order d. We introduce affine constellations and compare their existence properties with those of mutually unbiased constellations. The observed discrepancies make a deeper relation between the two existence problems unlikely.",

keywords = "FINITE PROJECTIVE-PLANES, STATE DETERMINATION, BASES, DIMENSIONS, EXISTENCE",

author = "Stefan Weigert and Thomas Durt",

year = "2010",

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AU - Durt, Thomas

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N2 - It has been conjectured that a complete set of mutually unbiased bases in a space of dimension d exists if and only if there is an affine plane of order d. We introduce affine constellations and compare their existence properties with those of mutually unbiased constellations. The observed discrepancies make a deeper relation between the two existence problems unlikely.

AB - It has been conjectured that a complete set of mutually unbiased bases in a space of dimension d exists if and only if there is an affine plane of order d. We introduce affine constellations and compare their existence properties with those of mutually unbiased constellations. The observed discrepancies make a deeper relation between the two existence problems unlikely.

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KW - STATE DETERMINATION

KW - BASES

KW - DIMENSIONS

KW - EXISTENCE

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