Measurement incompatibility under loss

• URL: http://arxiv.org/abs/2411.05920v2
• Date: Tue, 12 Nov 2024 08:07:22 GMT
• Title: Measurement incompatibility under loss
• Authors: Mohammad Mehboudi, Fatemeh Rezaeinia, Saleh Rahimi-Keshari,
• Abstract summary: We investigate the measurement incompatibility of continuous-variable quantum systems under the influence of pure losses. We design a set of measurements that remains incompatible even under extreme losses, where the number of measurements in the set increases with the amount of loss. These measurements rely on on-off photo-detection and linear optics, making them feasible for implementation in realistic laboratory conditions.
• Score: 0.0
• License:
• Abstract: Measurement incompatibility plays a critical role in quantum information processing, as it is essential for the violation of Bell and steering inequalities. Identifying sets of incompatible measurements is thus a key task in this field. However, practical implementations of quantum systems are inherently noisy, making it crucial to understand how noise affects measurement incompatibility. While it is known that noise can destroy incompatibility, it cannot create it. Despite extensive research on measurement incompatibility in finite-dimensional systems -- often tackled using semi-definite programming -- there has been limited progress in understanding this phenomenon in infinite-dimensional continuous-variable (CV) systems, which are highly relevant for quantum information applications. In this work, we investigate the measurement incompatibility of CV systems under the influence of pure losses, a fundamental noise source in quantum optics and a significant challenge for long-distance quantum communication. We first establish a quantitative relationship between the degree of loss and the minimum number of measurements required to maintain incompatibility. Furthermore, we design a set of measurements that remains incompatible even under extreme losses, where the number of measurements in the set increases with the amount of loss. Importantly, these measurements rely on on-off photo-detection and linear optics, making them feasible for implementation in realistic laboratory conditions.

Related papers

• On compatibility of binary qubit measurements [0.0]
  This work approaches the problem through functions defined on the Boolean hypercube and their Fourier transformations. We show that this reformulation of the problem leads to a complete geometric characterisation of joint measurability of any finite set of unbiased binary qubit measurements. We discuss our results in the realm of quantum steering, where they translate into a family of steering inequalities.
  arXiv  Detail & Related papers  (2024-07-10T14:44:12Z)
• 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)
• Witnessing Quantum Incompatibility Structures in High-Dimensional Multimeasurement Systems [10.275541065101345]
  Quantum incompatibility is the phenomenon that some quantum measurements cannot be performed simultaneously. We propose a modified quantum state discrimination protocol that decomposes complex compatibility structures into pairwise ones. We experimentally demonstrate our results and connect them with quantum steering, quantum simulability and quantum communications.
  arXiv  Detail & Related papers  (2023-06-21T09:12:51Z)
• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• High-dimensional entanglement certification: bounding relative entropy of entanglement in $2d+1$ experiment-friendly measurements [77.34726150561087]
  Entanglement -- the coherent correlations between parties in a quantum system -- is well-understood and quantifiable. Despite the utility of such systems, methods for quantifying high-dimensional entanglement are more limited and experimentally challenging. We present a novel certification method whose measurement requirements scale linearly with dimension subsystem.
  arXiv  Detail & Related papers  (2022-10-19T16:52:21Z)
• 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)
• Quantifying incompatibility of quantum measurements through non-commutativity [0.0]
  Incompatible measurements are an important distinction between quantum mechanics and classical theories. We explore a family of incompatibility measures based on non-commutativity. We show that they satisfy some natural information-processing requirements. We also consider the behavior of our measures under different types of compositions.
  arXiv  Detail & Related papers  (2021-10-20T16:37:10Z)
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction [48.43720700248091]
  In quantum information processing quantum operations are often processed alongside measurements which result in classical data. Non-unitary dynamical processes can take place on the system, for which common quantum channel descriptions fail to describe the time evolution. Quantum measurements are correctly treated by means of so-called quantum instruments capturing both classical outputs and post-measurement quantum states.
  arXiv  Detail & Related papers  (2021-10-13T18:00:13Z)
• Device-independent quantification of measurement incompatibility [0.0]
  Incompatible measurements are necessary to observe nonlocal correlations. We provide the direct link between Bell nonlocality and the quantification of measurement incompatibility.
  arXiv  Detail & Related papers  (2020-10-16T15:47:20Z)
• Impossible measurements require impossible apparatus [0.0]
  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.
  arXiv  Detail & Related papers  (2020-03-10T12:25:10Z)

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.