Quantum Signal Processing and Non-Orthogonal State Detection

Abstract

Quantum state signal for most time is Non-orthogonal signal; it's not fit to applying the classical signal processing methods to their signal analyzing and estimating. In accordance with this, we discussed a basic model for pure quantum signal processing. By combining the least-squares estimation and Positive-Operator-Valued Measure, we furthermore developed a novel quantum detection method for non-orthogonal state signal. The simulation test result in addition verified its effectiveness.

Keywords

• Signal processing
• Quantum detection
• Non-orthogonal state
• Least-square estimation
• POVM.