# Informational power of quantum measurements

@article{DallArno2011InformationalPO, title={Informational power of quantum measurements}, author={Michele Dall’Arno and Giacomo Mauro D’Ariano and Massimiliano F. Sacchi}, journal={Physical Review A}, year={2011}, volume={83}, pages={062304} }

We introduce the informational power of a quantum measurement as the maximum amount of classical information that the measurement can extract from any ensemble of quantum states. We prove the additivity by showing that the informational power corresponds to the classical capacity of a quantum-classical channel. We restate the problem of evaluating the informational power as the maximization of the accessible information of a suitable ensemble. We provide a numerical algorithm to find an optimal…

## 39 Citations

### The application of optimal quantum measurements to quantum channels

- Computer Science
- 2015

It is found that traditional optimal measurement techniques do not necessarily maximise information transfer rates and therefore the maximisation of the mutual information must be done explicitly.

### The information capacity of entanglement-assisted continuous variable quantum measurement

- Physics, Computer ScienceJournal of Physics A: Mathematical and Theoretical
- 2020

The present paper is devoted to the investigation of the entropy reduction and entanglement-assisted classical capacity (information gain) of continuous variable quantum measurements. These…

### Device-Independent Tests of Quantum Measurements.

- PhysicsPhysical review letters
- 2017

The main result is to provide a closed-form, full characterization of the set of input-output correlations that can be generated by an arbitrarily given quantum measurement, and to discuss its geometrical interpretation.

### On the Proof of the Entanglement-assisted Coding Theorem for a Quantum Measurement Channel

- Computer ScienceLobachevskii Journal of Mathematics
- 2021

The notion of conditional entropy in hybrid (quantum-classical) systems and some of its properties are considered and the proof of the coding theorem for the entanglement-assisted classical capacity of the measurement channel with arbitrary output alphabet is refined.

### Efficient Accessible Bounds to the Classical Capacity of Quantum Channels.

- Computer SciencePhysical review letters
- 2019

A method to detect lower bounds to the classical capacity of quantum communication channels by means of few local measurements, reconstruction of sets of conditional probabilities, and classical optimization is presented.

### The information capacity of entanglement-assisted continuous variable measurement

- Physics, Computer Science
- 2020

The present paper is devoted to investigation of the entropy reduction and entanglement-assisted classical capacity (information gain) of continuous variable quantum measurements. These quantities…

### Information capacity of a quantum observable

- PhysicsProbl. Inf. Transm.
- 2012

The classical capacities of quantum-classical channels corresponding to measurement of observables, and formulas for unassisted and entanglement-assisted classical capacities C and Cea, to show that Cea for the measurement channel is related to the χ-quantity for the dual ensemble in the same way as C isrelated to the accessible information.

### Coherence of Quantum Ensemble as a Dual to Uncertainty for a Single Observable

- PhysicsLobachevskii Journal of Mathematics
- 2019

The coherence of an ensemble of quantum states is considered — a quantity having a similarity with the uncertainty of the quantum observable that arises from the entropic uncertainty relations. We…

### Optimal signal states for quantum detectors

- Computer Science
- 2011

The framework presented here provides a natural way to characterize generalized quantum measurements in terms of their information readout capabilities and provides analytical proofs of optimality in some relevant cases.

### Tradeoff Relations Between Accessible Information, Informational Power, and Purity

- Computer ScienceIEEE Transactions on Information Theory
- 2019

The present results provide, as a corollary, novel sufficient conditions for the tightness of the Jozsa–Robb–Wootters lower bound to the accessible information.

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