Optimum detection for extracting maximum information from symmetric qubit sets

Abstract

We demonstrate a class of optimum detection strategies for extracting the maximum information from sets of equiprobable real symmetric qubit states of a single photon. These optimum strategies have been predicted by Sasaki et al. [Phys. Rev. A{\bf 59}, 3325 (1999)]. The peculiar aspect is that the detections with at least three outputs suffice for optimum extraction of information regardless of the number of signal elements. The cases of ternary (or trine), quinary, and septenary polarization signals are studied where a standard von Neumann detection (a projection onto a binary orthogonal basis) fails to access the maximum information. Our experiments demonstrate that it is possible with present technologies to attain about 96% of the theoretical limit.

10 pages, 11 figures, to be submitted to Phys. Rev. A Converted to REVTeX4 format, and a few other minor modifications according to the comments from PRA referree

References in corpus (7)

• Quantum State Discrimination
• Unambiguous Discrimination Between Linearly-Independent Quantum States
• Experimental Demonstration of Optimal Unambiguous State Discrimination
• Quantum channels showing superadditivity in capacity
• Accessible information and optimal strategies for real symmetrical quantum sources
• Experimental realization of optimal detection strategies for overcomplete states
• Realization of a collective decoding of codeword states

Cited by in corpus (14)

• Maximum Confidence Quantum Measurements
• Exceeding classical capacity limit in quantum optical channel
• Minimum-error discrimination between three mirror-symmetric states
• Structure of minimum-error quantum state discrimination
• Experimental Realization of Maximum Confidence State Discrimination for the Extraction of Quantum Information
• Measurement does not always aid state discrimination
• Binary optical communication in single-mode and entangled quantum noisy channels
• Implementation of generalized quantum measurements: superadditive quantum coding, accessible information extraction, and classical capacity limit
• Minimum-error discrimination of entangled quantum states
• Experimental quantum state discrimination using the optimal fixed rate of inconclusive outcomes strategy
• Enhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies
• Distinguishability Measures and Ensemble Orderings
• Optimal minimum-cost quantum measurements for imperfect detection
• Quantum state discrimination