Residual and Destroyed Accessible Information after Measurements

Abstract

When quantum states are used to send classical information, the receiver performs a measurement on the signal states. The amount of information extracted is often not optimal due to the receiver's measurement scheme and experimental apparatus. For quantum non-demolition measurements, there is potentially some residual information in the post-measurement state, while part of the information has been extracted and the rest is destroyed. Here, we propose a framework to characterize a quantum measurement by how much information it extracts and destroys, and how much information it leaves in the residual post-measurement state. The concept is illustrated for several receivers discriminating coherent states.

5 pages, 1 figure

References in corpus (4)

• Discrimination of the binary coherent signal: Gaussian-operation limit and simple non-Gaussian near-optimal receivers
• Information-disturbance tradeoff in quantum measurement on the uniform ensemble and on the mutually unbiased bases
• Near optimal discrimination of binary coherent signals via atom-light interaction
• The Helstrom measurement: A nondestructive implementation

Cited by in corpus (7)

• Targeted free energy estimation via learned mappings
• Robust Measurement for the Discrimination of Binary Coherent States
• Efficient and Low-Backaction Quantum Measurement Using a Chip-Scale Detector
• The Helstrom measurement: A nondestructive implementation
• Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
• Generalized Holevo theorem and distinguishability notions
• Monitoring the energy of a cavity by observing the emission of a repeatedly excited qubit