Bachelor’s Thesis Optimal Determination of States of D-level Quantum Systems
نویسنده
چکیده
A basic overview of quantum theory fundamentals (pure states, density matrix, observables) is presented, then density matrices in finite dimensional Hilbert spaces are examined in more detail. Then the problem of optimal quantum state determination is dealt with. This leads to definition of mutually unbiased bases. An explicit form of such bases for prime dimensions is given. An alternative proof of existence of N + 1 mutually unbiased bases in Hilbert spaces of prime dimension N is given by exploiting the Pauli group and vector space ZN × ZN .
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تاریخ انتشار 2006