Quantum information aspects of approximate position measurement
A. S. Holevo, V. I. Yashin
TL;DR
This paper analyzes the quantum information properties of approximate position measurements in quantum optics, providing explicit formulas for entropy reduction and capacities, especially for multi-mode Gaussian measurements.
Contribution
It establishes the Gaussian maximizer property for entropy reduction in approximate position measurements, offering explicit formulas and detailed analysis for the one-mode case.
Findings
Gaussian maximizer property proven for entropy reduction
Explicit formulas for entanglement-assisted capacity derived
Detailed analysis of one-mode measurement case
Abstract
We perform a quantum information analysis for multi-mode Gaussian approximate position measurements, underlying noisy homodyning in quantum optics. The "Gaussian maximizer" property is established for the entropy reduction of these measurements which provides explicit formulas for computations including their entanglement-assisted capacity. The case of one mode is discussed in detail.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications · Orbital Angular Momentum in Optics