Impossible measurements require impossible apparatus
- URL: http://arxiv.org/abs/2003.04660v4
- Date: Mon, 26 Apr 2021 11:57:35 GMT
- Title: Impossible measurements require impossible apparatus
- Authors: Henning Bostelmann, Christopher J. Fewster, Maximilian H. Ruep
- Abstract summary: Generalisations of quantum measurement rules can allow for superluminal signalling ('impossible measurements')
We analyse this issue in a recently proposed framework in which local measurements are described physically by coupling the system to a probe.
We show that the state-update rule in this setting is consistent with causality provided that the coupling between the system and probe is local.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A well-recognised open conceptual problem in relativistic quantum field
theory concerns the relation between measurement and causality. Naive
generalisations of quantum measurement rules can allow for superluminal
signalling ('impossible measurements'). This raises the problem of delineating
physically allowed quantum measurements and operations. We analyse this issue
in a recently proposed framework in which local measurements (in possibly
curved spacetime) are described physically by coupling the system to a probe.
We show that the state-update rule in this setting is consistent with causality
provided that the coupling between the system and probe is local. Thus, by
establishing a well-defined framework for successive measurements, we also
provide a class of physically allowed operations. Conversely, impossible
measurements can only be performed using impossible (non-local) apparatus.
Related papers
- Classification of joint quantum measurements based on entanglement cost of localization [42.72938925647165]
We propose a systematic classification of joint measurements based on entanglement cost.
We show how to numerically explore higher levels and construct generalizations to higher dimensions and multipartite settings.
arXiv Detail & Related papers (2024-08-01T18:00:01Z) - Towards a measurement theory in QFT: "Impossible" quantum measurements
are possible but not ideal [0.0]
We show that the same problem arises in non-relativistic quantum physics, where joint nonlocal measurements lead to signaling.
We develop a non-relativistic quantum information approach developed independently of the impossible measurements in QFT.
These considerations could help guide the development of a complete theory of measurement in QFT.
arXiv Detail & Related papers (2023-11-22T19:00:16Z) - Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.
This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
arXiv Detail & Related papers (2023-10-04T09:51:00Z) - Measurement incompatibility is strictly stronger than disturbance [44.99833362998488]
Heisenberg argued that measurements irreversibly alter the state of the system on which they are acting, causing an irreducible disturbance on subsequent measurements.
This article shows that measurement incompatibility is indeed a sufficient condition for irreversibility of measurement disturbance.
However, we exhibit a toy theory, termed the minimal classical theory (MCT), that is a counterexample for the converse implication.
arXiv Detail & Related papers (2023-05-26T13:47:00Z) - Quantifying measurement-induced quantum-to-classical crossover using an
open-system entanglement measure [49.1574468325115]
We study the entanglement of a single particle under continuous measurements.
We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
arXiv Detail & Related papers (2023-04-06T09:45:11Z) - Bell inequalities with overlapping measurements [52.81011822909395]
We study Bell inequalities where measurements of different parties can have overlap.
This allows to accommodate problems in quantum information.
The scenarios considered show an interesting behaviour with respect to Hilbert space dimension, overlap, and symmetry.
arXiv Detail & Related papers (2023-03-03T18:11:05Z) - Some Entanglement Survives Most Measurements [1.3812010983144802]
We investigate the limitations of repeated non-projective measurements in preparing a quantum system.
We show that some entanglement remains unless one of the measurement operators becomes perfectly projective.
We present results for $n$-qubit and $n$-dimensional input states.
arXiv Detail & Related papers (2023-02-14T08:02:27Z) - Self-testing nonlocality without entanglement [0.0]
We show that a measurement exhibiting nonlocality without entanglement can be certified in a device-independent manner.
This result also demonstrates that genuine network quantum nonlocality can be obtained using only non-entangled measurements.
arXiv Detail & Related papers (2022-03-24T16:45:41Z) - Experimentally determining the incompatibility of two qubit measurements [55.41644538483948]
We describe and realize an experimental procedure for assessing the incompatibility of two qubit measurements.
We demonstrate this fact in an optical setup, where the qubit states are encoded into the photons' polarization degrees of freedom.
arXiv Detail & Related papers (2021-12-15T19:01:44Z) - Entanglement detection in quantum many-body systems using entropic
uncertainty relations [0.0]
We study experimentally accessible lower bounds on entanglement measures based on entropic uncertainty relations.
We derive an improved entanglement bound for bipartite systems, which requires measuring joint probability distributions in only two different measurement settings per subsystem.
arXiv Detail & Related papers (2021-01-21T20:50:11Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.