Quantum information theory

Mutually unbiased bases

In quantum information theory, mutually unbiased bases in Hilbert space Cd are two orthonormal bases and such that the square of the magnitude of the inner product between any basis states and equals the inverse of the dimension d: These bases are unbiased in the following sense: if a system is prepared in a state belonging to one of the bases, then all outcomes of the measurement with respect to the other basis are predicted to occur with equal probability. (Wikipedia).

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Related pages

Qubit | Integer factorization | Complex Hadamard matrix | Finite field | Quantum error correction | Root of unity | Dimension | Unitary operator | Square (algebra) | Quantum key distribution | Uncertainty principle | Weyl group | Standard basis | Orthonormal basis | Magnitude (mathematics) | Quantum entanglement | Hilbert space | Measurement in quantum mechanics | Quantum cryptography | Phase factor | Quantum information | Entropy (information theory) | Multiplicative inverse