Optimal discrimination of single-qubit mixed states

Abstract

We consider the problem of minimum-error quantum state discrimination for single-qubit mixed states. We present a method which uses the Helstrom conditions constructively and analytically; this algebraic approach is complementary to existing geometric methods, and solves the problem for any number of arbitrary signal states with arbitrary prior probabilities.

8 pages, 1 figure

References in corpus (6)

• Quantum state discrimination and its applications
• Maximum Confidence Quantum Measurements
• Dimension witnesses and quantum state discrimination
• Qubit State Discrimination
• Optimal measurements for the discrimination of quantum states with a fixed rate of inconclusive results
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Cited by in corpus (8)

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• Geometric Bloch Vector Solution to Minimum Error Discriminations of Mixed Qubit States
• Quantum State Discrimination Circuits Inspired by Deutschian Closed Timelike Curves
• POVMs are equivalent to projections for perfect state exclusion of three pure states in three dimensions