Focusing particularly on one-qubit and two-qubit systems, I explain how the quantum state of a system of n qubits can be expressed as a real function—a generalized Wigner function—on a discrete 2 n × 2 n phase pace. The phase space is based on the finite field having 2 n elements, and its geometric structure leads naturally to the construction of a complete set of 2 n + 1 mutually conjugate bases.
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William K. Wootters (2004) studied this question.
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