Qubit State Discrimination

Abstract

We show how one can solve the problem of discriminating between qubit states. We use the quantum state discrimination duality theorem and the Bloch sphere representation of qubits which allows for an easy geometric and analytical representation of the optimal guessing strategies.

6 pages, 4 figures. v2 has small corrections and changes in references

References in corpus (9)

• The operational meaning of min- and max-entropy
• Quantum channels showing superadditivity in capacity
• Minimum-error discrimination between three mirror-symmetric states
• On the conditions for discrimination between quantum states with minimum error
• A family of generalized `pretty good' measurements and the minimal-error pure-state discrimination problems for which they are optimal
• Measurement does not always aid state discrimination
• Minimum error discrimination problem for pure qubit states
• Error rates of Belavkin weighted quantum measurements and a converse to Holevo's asymptotic optimality theorem
• Results in Optimal Discrimination

Cited by in corpus (17)

• Quantum state discrimination and its applications
• Structure of minimum-error quantum state discrimination
• Quantum walk as a generalized measuring device
• Optimal Discrimination of Qubit States - Methods, Solutions, and Properties
• Complete analysis for three-qubit mixed-state discrimination
• Optimal measurements for the discrimination of quantum states with a fixed rate of inconclusive results
• Optimal discrimination of single-qubit mixed states
• An optimal discrimination of two mixed qubit states with a fixed rate of inconclusive results
• Maximum confidence measurement for qubit states
• Generalized quantum process discrimination problems
• Finding optimal solutions for generalized quantum state discrimination problems
• Generalized bipartite quantum state discrimination problems with sequential measurements
• Geometric Bloch Vector Solution to Minimum Error Discriminations of Mixed Qubit States
• Quantum process discrimination with restricted strategies
• The pretty bad measurement
• A time-dependent Tsirelson's bound from limits on the rate of information gain in quantum systems
• Complete analysis to minimum-error discrimination of mixed four qubit states with arbitrary prior probabilities