Experimental Optimal Quantum State Estimation with Genuine Three-copy Collective Measurements

• URL: http://arxiv.org/abs/2312.01651v1
• Date: Mon, 4 Dec 2023 06:03:02 GMT
• Title: Experimental Optimal Quantum State Estimation with Genuine Three-copy Collective Measurements
• Authors: Kai Zhou, Changhao Yi, Wen-Zhe Yan, Zhibo Hou, Huangjun Zhu, Guo-Yong Xiang, Chuan-Feng Li and Guang-Can Guo
• Abstract summary: We experimentally demonstrate the power of genuine tripartite nonclassicality in quantum measurements. Our work opens the door for exploring genuine multipartite nonclassical measurements and their power in quantum information processing.
• Score: 3.189199381356096
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Nonclassical phenomena tied to entangled states are focuses of foundational studies and powerful resources in many applications. By contrast, the counterparts on quantum measurements are still poorly understood. Notably, genuine multipartite nonclassicality is barely discussed, not to say experimental realization. Here we experimentally demonstrate the power of genuine tripartite nonclassicality in quantum measurements based on a simple estimation problem. To this end we realize an optimal genuine three-copy collective measurement via a nine-step two-dimensional photonic quantum walk with 30 elaborately designed coin operators. Then we realize an optimal estimation protocol and achieve an unprecedented high estimation fidelity, which can beat all strategies based on restricted collective measurements by more than 11 standard deviations. These results clearly demonstrate that genuine collective measurements can extract more information than local measurements and restricted collective measurements. Our work opens the door for exploring genuine multipartite nonclassical measurements and their power in quantum information processing.

Related papers

• 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)
• Quantification of Entanglement and Coherence with Purity Detection [16.01598003770752]
  Entanglement and coherence are fundamental properties of quantum systems, promising to power near future quantum technologies. Here, we demonstrate quantitative bounds to operationally useful entanglement and coherence. Our research offers an efficient means of verifying large-scale quantum information processing.
  arXiv  Detail & Related papers  (2023-08-14T11:03:40Z)
• Discriminating mixed qubit states with collective measurements [0.2621730497733947]
  We propose and experimentally demonstrate a protocol for distinguishing two copies of single qubit states using collective measurements. We implement our measurements on an IBM Q System One device, a superconducting quantum processor.
  arXiv  Detail & Related papers  (2023-02-17T14:02:26Z)
• Guaranteed efficient energy estimation of quantum many-body Hamiltonians using ShadowGrouping [55.47824411563162]
  Estimation of the energy of quantum many-body systems is a paradigmatic task in various research fields. We aim to find the optimal strategy with single-qubit measurements that yields the highest provable accuracy given a total measurement budget. We develop a practical, efficient estimation strategy, which we call ShadowGrouping.
  arXiv  Detail & Related papers  (2023-01-09T14:41:07Z)
• Anticipative measurements in hybrid quantum-classical computation [68.8204255655161]
  We present an approach where the quantum computation is supplemented by a classical result. Taking advantage of its anticipation also leads to a new type of quantum measurements, which we call anticipative. In an anticipative quantum measurement the combination of the results from classical and quantum computations happens only in the end.
  arXiv  Detail & Related papers  (2022-09-12T15:47:44Z)
• Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
  We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees. Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation. We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
  arXiv  Detail & Related papers  (2022-03-30T02:02:16Z)
• A perspective on few-copy entanglement detection in experiments [0.0]
  An overview is provided of a probabilistic approach that enables high-confidence genuine multipartite entanglement detection. A study is presented that shows that this protocol remains efficient also in the presence of noise.
  arXiv  Detail & Related papers  (2022-01-07T19:01:07Z)
• Overlapped grouping measurement: A unified framework for measuring quantum states [2.1166716158060104]
  We propose a unified framework of quantum measurements, incorporating advanced measurement methods as special cases. An intuitive understanding of the scheme is to partition the measurements into overlapped groups with each one consisting of compatible measurements. Our numerical result shows significant improvements over existing schemes.
  arXiv  Detail & Related papers  (2021-05-27T12:38:18Z)
• Experimental progress on quantum coherence: detection, quantification, and manipulation [55.41644538483948]
  Recently there has been significant interest in the characterization of quantum coherence as a resource. We discuss the main platforms for realizing the experiments: linear optics, nuclear magnetic resonance, and superconducting systems. We also review experiments exploring the connections between coherence and uncertainty relations, path information, and coherence of operations and measurements.
  arXiv  Detail & Related papers  (2021-05-14T14:30:47Z)
• Some quantum measurements with three outcomes can reveal nonclassicality where all two-outcome measurements fail to do so [0.0]
  We show that there are instances, where the results of all two-outcome measurements can be explained in a classical manner. This points at the important role of the number of outcomes in revealing the nonclassicality hidden in a quantum system.
  arXiv  Detail & Related papers  (2020-01-10T15:30:11Z)
• Direct estimation of quantum coherence by collective measurements [54.97898890263183]
  We introduce a collective measurement scheme for estimating the amount of coherence in quantum states. Our scheme outperforms other estimation methods based on tomography or adaptive measurements. We show that our method is accessible with today's technology by implementing it experimentally with photons.
  arXiv  Detail & Related papers  (2020-01-06T03:50:42Z)

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.