# The role of system–meter entanglement in controlling the resolution and decoherence of quantum measurements

@article{Patekar2019TheRO, title={The role of system–meter entanglement in controlling the resolution and decoherence of quantum measurements}, author={Kartik Patekar and Holger F. Hofmann}, journal={New Journal of Physics}, year={2019}, volume={21} }

Measurement processes can be separated into an entangling interaction between the system and a meter and a subsequent readout of the meter state that does not involve any further interactions with the system. In the interval between these two stages, the system and the meter are in an entangled state that encodes all possible effects of the readout in the form of non-local quantum correlations between the system and the meter. Here, we show that the entanglement generated in the system–meter…

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## References

SHOWING 1-10 OF 40 REFERENCES

### Quantum optical test of observation and complementarity in quantum mechanics.

- PhysicsPhysical review. A, General physics
- 1989

It is shown that ``which-path'' (particle) information rules out interference (wave) effects due to the system-detector correlations and not due to a randomization of phase.

### Measurement uncertainty from no-signaling and nonlocality

- Physics
- 2017

One of the formulations of Heisenberg uncertainty principle, concerning so-called measurement uncertainty, states that the measurement of one observable modifies the statistics of the other. Here, we…

### Violation of Leggett–Garg inequalities in quantum measurements with variable resolution and back-action

- Physics
- 2012

Quantum mechanics violates Leggett–Garg inequalities because the operator formalism predicts correlations between different spin components that would correspond to negative joint probabilities for…

### Local measurement uncertainties impose a limit on nonlocal quantum correlations

- PhysicsPhysical Review A
- 2019

In quantum mechanics, joint measurements of non-commuting observables are only possible if a minimal unavoidable measurement uncertainty is accepted. On the other hand, correlations between…

### Path detection and the uncertainty principle

- PhysicsNature
- 1994

QUANTUM mechanics predicts that any detector capable of determining the path taken by a particle through a double slit will destroy the interference. This follows from the principle of…

### The Uncertainty Principle Determines the Nonlocality of Quantum Mechanics

- PhysicsScience
- 2010

Two central concepts of quantum mechanics, Heisenberg’s uncertainty principle and a subtle form of nonlocality that Einstein famously called “spooky action at a distance,” are shown to be linked.

### Proof of Heisenberg's error-disturbance relation.

- PhysicsPhysical review letters
- 2013

It is shown that despite recent claims to the contrary, Heisenberg-type inequalities can be proven that describe a tradeoff between the precision of a position measurement and the necessary resulting disturbance of momentum.

### Information and disturbance in operational probabilistic theories

- Computer Science, MathematicsQuantum
- 2020

A structure theorem for operational probabilistic theories is proved, showing that the set of states of any system decomposes as a direct sum of perfectly discriminable sets, and such decomposition is preserved under system composition.

### Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement

- Physics
- 2003

The Heisenberg uncertainty principle states that the product of the noise in a position measurement and the momentum disturbance caused by that measurement should be no less than the limit set by…

### Colloquium: Quantum root-mean-square error and measurement uncertainty relations

- Physics
- 2014

Recent years have witnessed a controversy over Heisenberg's famous error-disturbance relation. Here we resolve the conflict by way of an analysis of the possible conceptualizations of measurement…