A detector-based measurement theory for quantum field theory
- URL: http://arxiv.org/abs/2108.02793v3
- Date: Thu, 3 Mar 2022 04:46:46 GMT
- Title: A detector-based measurement theory for quantum field theory
- Authors: Jos\'e Polo-G\'omez, Luis J. Garay and Eduardo Mart\'in-Mart\'inez
- Abstract summary: We propose a measurement theory for quantum fields based on measurements made with localized non-relativistic systems.
We analyze the positive operator-valued measure (POVM) induced on the field when an idealized measurement is carried out on the detector after it coupled to the field.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose a measurement theory for quantum fields based on measurements made
with localized non-relativistic systems that couple covariantly to quantum
fields (like the Unruh-DeWitt detector). Concretely, we analyze the positive
operator-valued measure (POVM) induced on the field when an idealized
measurement is carried out on the detector after it coupled to the field. Using
an information-theoretic approach, we provide a relativistic analogue to the
quantum mechanical L\"uders update rule to update the field state following the
measurement on the detector. We argue that this proposal has all the desirable
characteristics of a proper measurement theory. In particular it does not
suffer from the "impossible measurements" problem pointed out by Rafael Sorkin
in the 90s which shows that idealized measurements cannot be used in quantum
field theory.
Related papers
- Universal quantum frequency comb measurements by spectral mode-matching [39.58317527488534]
We present the first general approach to make arbitrary, one-shot measurements of a multimode quantum optical source.
This approach uses spectral mode-matching, which can be understood as interferometry with a memory effect.
arXiv Detail & Related papers (2024-05-28T15:17:21Z) - Does the system entanglement care about the readout efficiency of
quantum measurement? [49.1574468325115]
We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring.
We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
arXiv Detail & Related papers (2024-02-29T18:10:05Z) - Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
We propose a measurement-device-independent (MDI) test for beyond-quantum state detection.
We discuss the importance of tomographic completeness of the input sets to the detection.
arXiv Detail & Related papers (2023-12-11T06:40:13Z) - A universal scheme to self-test any quantum state and extremal measurement [41.94295877935867]
quantum network considered in this work is the simple star network, which is implementable using current technologies.
For our purposes, we also construct a scheme that can be used to self-test the two-dimensional tomographically complete set of measurements with an arbitrary number of parties.
arXiv Detail & Related papers (2023-12-07T16:20:28Z) - 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) - On the negative-result experiments in quantum mechanics [0.0]
We comment on the so-called negative-result experiments (also known as null measurements, interaction-free measurements, and so on) in quantum mechanics (QM)
All experiments of this kind (null-measurements) can be understood as improper measurements with an intentionally biased detector set up, which introduces exclusion or selection of certain events.
The verification of the prediction made by a null-measurement requires eventually a standard unbiased measurement involving the microsystem-macroscopic detector interactions.
arXiv Detail & Related papers (2023-10-03T10:56:26Z) - Analysing quantum systems with randomised measurements [0.7588690078299699]
We present the advancements made in utilising such measurements in various quantum information problems.
We describe how to detect and characterise various forms of entanglement, including genuine multipartite entanglement and bound entanglement.
Bell inequalities are discussed to be typically violated even with randomised measurements.
arXiv Detail & Related papers (2023-07-03T18:00:01Z) - Entanglement quasidistributions for Bell-state measurements [0.0]
We explore the notion of entanglement for detection devices in theory and experiment.
A method is devised that allows one to determine nonlocal quantum coherence of positive operator-valued measures.
We describe the reconstruction of the aforementioned entanglement quasidistributions from raw data and compare the resulting negativities with the expected from theory.
arXiv Detail & Related papers (2022-09-13T18:00:19Z) - Entanglement and Quantum Correlation Measures from a Minimum Distance
Principle [0.0]
Entanglement, and quantum correlation, are precious resources for quantum technologies implementation based on quantum information science.
We derive an explicit measure able to quantify the degree of quantum correlation for pure or mixed multipartite states.
We prove that our entanglement measure is textitfaithful in the sense that it vanishes only on the set of separable states.
arXiv Detail & Related papers (2022-05-14T22:18:48Z) - Experimental limit on non-linear state-dependent terms in quantum theory [110.83289076967895]
We implement blinded measurement and data analysis with three control bit strings.
Control of systematic effects is realized by producing one of the control bit strings with a classical random-bit generator.
Our measurements find no evidence for electromagnetic quantum state-dependent non-linearity.
arXiv Detail & Related papers (2022-04-25T18:00:03Z) - Towards Optimal Quantum Ranging -- Hypothesis Testing for an Unknown
Return Signal [6.345523830122166]
In rangefinding and LIDAR, the presence or absence of a target can be tested by detecting different states at the receiver.
We use quantum hypothesis testing for an unknown coherent-state return signal in order to derive the limits of symmetric and asymmetric error probabilities.
arXiv Detail & Related papers (2021-09-03T16:20:54Z)
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.