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Title: Multipartite quantum systems: Phases do matter after all
Author: Sanchez-Soto, L.L.
Klimov, Andrei B.
De Guise, H.
Issue Date: 2006
Abstract: A comprehensive theory of phase for finite-dimensional quantum systems is developed. The only physical requirement imposed is that phase is complementary to amplitude. This complementarity is implemented by resorting to the notion of mutually unbiased bases. For a d-dimensional system, where d is a power of a prime, we explicitly construct d + 1 classes of maximally commuting operators, each one consisting of d - 1 operators. One of this class consists of diagonal operators that represent amplitudes and, by the finite Fourier transform, operators in this class are mapped to off-diagonal operators that can be appropriately interpreted as phases. The relevant example of a system of qubits is examined in detail. Zapotitlán World Scientific Publishing Company.
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