QUANTUM CIRCUITS FOR SINGLE-QUBIT MEASUREMENTS CORRESPONDING TO PLATONIC SOLIDS

doi:10.1142/S0219749904000298

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QUANTUM CIRCUITS FOR SINGLE-QUBIT MEASUREMENTS CORRESPONDING TO PLATONIC SOLIDS

T. Decker, D. Janzing, T. Beth

Aug 19, 2003

Citations

Journal

International Journal of Quantum Information

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Key Takeaway

Key Takeaway: Simple circuits can implement single-qubit measurements of platonic solids using discrete Fourier transforms and elementary quantum operations.

Abstract

Each platonic solid defines a single-qubit positive operator-valued measure (POVM) by interpreting its vertices as points on the Bloch sphere. We construct simple circuits for implementing these kinds of measurements and other simple types of symmetric POVMs on one qubit. Each implementation consists of a discrete Fourier transform and some elementary quantum operations followed by an orthogonal measurement in the computational basis.

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