Proof of the Orthogonal Measurement Conjecture for Qubit States
Andreas Keil
TL;DR
This paper proves that for two-state qubit signals, the optimal measurement to maximize accessible information is always an orthogonal (von Neumann) measurement, simplifying quantum measurement strategies.
Contribution
It establishes that orthogonal measurements are sufficient to achieve accessible information for two-state qubit signals, confirming a conjecture in quantum information theory.
Findings
Orthogonal measurements suffice for two-state qubit signals
Accessible information is maximized by von Neumann measurements in this case
The proof confirms the conjecture for the orthogonal measurement in qubit systems
Abstract
The accessible information of general signal states is obtained by performing a generalized measurement. In the case that the signal alphabet consists of two states of a qubit system, it is proved that a von Neumann (orthogonal) measurement is sufficient to reach the accessible information.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications · Quantum Computing Algorithms and Architecture