Experimental benchmarking of quantum state overlap estimation strategies with photonic systems

• URL: http://arxiv.org/abs/2406.06810v2
• Date: Wed, 12 Jun 2024 08:10:58 GMT
• Title: Experimental benchmarking of quantum state overlap estimation strategies with photonic systems
• Authors: Hao Zhan, Ben Wang, Minghao Mi, Jie Xie, Liang Xu, Aonan Zhang, Lijian Zhang,
• Abstract summary: We compare four strategies for overlap estimation, including tomography-tomography, tomography-projection, Schur collective measurement and optical swap test. With a photonic system, the overlap-dependent estimation precision for each strategy is quantified in terms of the average estimation variance over uniformly sampled states. Our results shed new light on extracting the parameter of interest from quantum systems, prompting the design of efficient quantum protocols.
• Score: 17.062416865186307
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Accurately estimating the overlap between quantum states is a fundamental task in quantum information processing. While various strategies using distinct quantum measurements have been proposed for overlap estimation, the lack of experimental benchmarks on estimation precision limits strategy selection in different situations. Here we compare the performance of four practical strategies for overlap estimation, including tomography-tomography, tomography-projection, Schur collective measurement and optical swap test. With a photonic system, the overlap-dependent estimation precision for each strategy is quantified in terms of the average estimation variance over uniformly sampled states, which highlight the different performance of different strategies. We further propose an adaptive strategy with optimized precision in full-range overlap estimation. Our results shed new light on extracting the parameter of interest from quantum systems, prompting the design of efficient quantum protocols.

Related papers

• Photonic Quantum Receiver Attaining the Helstrom Bound [0.9674145073701151]
  We propose an efficient decomposition scheme for a quantum receiver that attains the Helstrom bound in the low-photon regime for discriminating binary coherent states. We account for realistic conditions by examining the impact of photon loss and imperfect photon detection, including the presence of dark counts. Our scheme motivates testing quantum advantages with cubic-phase gates and designing photonic quantum computers to optimize symbol-by-symbol measurements in optical communication.
  arXiv  Detail & Related papers  (2024-10-29T07:08:39Z)
• Five-fold precision enhancement in a cold atom experiment via adaptive symmetry-informed Bayesian strategies [2.477017847456471]
  We demonstrate an adaptive Bayesian measurement strategy for atom number estimation in a quantum technology experiment. Compared to a standard unoptimised strategy, our method yields a five-fold reduction in the fractional variance of the atom number estimate.
  arXiv  Detail & Related papers  (2024-10-14T15:20:13Z)
• Entanglement of photonic modes from a continuously driven two-level system [34.50067763557076]
  We experimentally generate entangled photonic modes by continuously exciting a quantum emitter, a superconducting qubit, with a coherent drive. We show that entanglement is generated between modes extracted from the two sidebands of the resonance fluorescence spectrum. Our approach can be utilized to distribute entanglement at a high rate in various physical platforms.
  arXiv  Detail & Related papers  (2024-07-10T18:48:41Z)
• MB-RACS: Measurement-Bounds-based Rate-Adaptive Image Compressed Sensing Network [65.1004435124796]
  We propose a Measurement-Bounds-based Rate-Adaptive Image Compressed Sensing Network (MB-RACS) framework. Our experiments demonstrate that the proposed MB-RACS method surpasses current leading methods.
  arXiv  Detail & Related papers  (2024-01-19T04:40:20Z)
• Entanglement-Enhanced Quantum Strategies for Accurate Estimation of Multibody Group Motion and Moving Object Characteristics [2.4533167913340757]
  This study presents a quantum strategy for simultaneous estimation of two physical quantities using different entanglement resources. The proposed method enables the detection of central position and relative velocity of multibody systems, as well as precise measurement of size and velocity of moving objects.
  arXiv  Detail & Related papers  (2023-09-27T10:09:13Z)
• Super-resolution and super-sensitivity of quantum LiDAR with multi-photonic state and binary outcome photon counting measurement [2.2120851074630177]
  We are using multi-photonic state (MPS), superposition of four coherent states as the input state and binary outcome parity photon counting measurement. We found enhancement in resolution and phase sensitivity in comparison to the coherent state and even coherent superposition state based quantum LiDAR.
  arXiv  Detail & Related papers  (2023-09-21T13:46:26Z)
• Simulating Gaussian boson sampling quantum computers [68.8204255655161]
  We briefly review recent theoretical methods to simulate experimental Gaussian boson sampling networks. We focus mostly on methods that use phase-space representations of quantum mechanics. A brief overview of the theory of GBS, recent experiments and other types of methods are also presented.
  arXiv  Detail & Related papers  (2023-08-02T02:03:31Z)
• Reliable confidence regions for quantum tomography using distribution moments [0.0]
  We suggest a computationally efficient and reliable scheme for determining well-justified error bars for quantum tomography. We benchmark our approach for a number of quantum tomography protocols using both simulation and demonstration with the use of a cloud-accessible quantum processor.
  arXiv  Detail & Related papers  (2023-07-24T14:21:35Z)
• Variational preparation of entangled states on quantum computers [0.0]
  We propose a variational approach for preparing entangled quantum states on quantum computers. We employ various gradient-based optimization techniques to enhance performance. We demonstrate the effectiveness of the variational algorithm in maximizing the efficiency of quantum state preparation.
  arXiv  Detail & Related papers  (2023-06-30T06:29:24Z)
• 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)
• Experimental Multi-state Quantum Discrimination in the Frequency Domain with Quantum Dot Light [40.96261204117952]
  In this work, we present the experimental realization of a protocol employing a time-multiplexing strategy to optimally discriminate among eight non-orthogonal states. The experiment was built on a custom-designed bulk optics analyser setup and single photons generated by a nearly deterministic solid-state source. Our work paves the way for more complex applications and delivers a novel approach towards high-dimensional quantum encoding and decoding operations.
  arXiv  Detail & Related papers  (2022-09-17T12:59:09Z)
• Experimental multiparameter quantum metrology in adaptive regime [0.0]
  We demonstrate the simultaneous estimation of three optical phases in a programmable integrated photonic circuit. Results show the possibility of successfully combining different fundamental methodologies towards transition to quantum sensors applications.
  arXiv  Detail & Related papers  (2022-08-30T18:02:51Z)
• Large-scale full-programmable quantum walk and its applications [18.832850380803333]
  Quantum walks are powerful kernels for developing new and useful quantum algorithms. Here we realize large-scale quantum walks using a fully programmable photonic quantum computing system. In the 400-dimensional Hilbert space, the average fidelity of random entangled quantum states after the whole on-chip circuit evolution reaches as high as 94.29$pm$1.28$%$.
  arXiv  Detail & Related papers  (2022-08-28T09:36:32Z)
• Experimental multi-state quantum discrimination through a Quantum network [63.1241529629348]
  We have experimentally implemented two discrimination schemes in a minimum-error scenario based on a receiver featured by a network structure and a dynamical processing of information. The first protocol achieves binary optimal discrimination, while the second one provides a novel approach to multi-state quantum discrimination, relying on the dynamical features of the network-like receiver.
  arXiv  Detail & Related papers  (2021-07-21T09:26:48Z)
• Post-Training Quantization for Vision Transformer [85.57953732941101]
  We present an effective post-training quantization algorithm for reducing the memory storage and computational costs of vision transformers. We can obtain an 81.29% top-1 accuracy using DeiT-B model on ImageNet dataset with about 8-bit quantization.
  arXiv  Detail & Related papers  (2021-06-27T06:27:22Z)
• Optimal Adaptive Strategies for Sequential Quantum Hypothesis Testing [87.17253904965372]
  We consider sequential hypothesis testing between two quantum states using adaptive and non-adaptive strategies. We show that these errors decrease exponentially with decay rates given by the measured relative entropies between the two states.
  arXiv  Detail & Related papers  (2021-04-30T00:52:48Z)
• Scalable multiphoton quantum metrology with neither pre- nor post-selected measurements [0.0]
  We experimentally demonstrate a scalable protocol for quantum-enhanced optical phase estimation. The robustness of two-mode squeezed vacuum states against loss allows us to outperform schemes based on N00N states. Our work is important for quantum technologies that rely on multiphoton interference.
  arXiv  Detail & Related papers  (2020-11-04T18:11:33Z)
• Experimental quantum reading with photon counting [0.0]
  We show that quantum advantage is obtained by practical photon-counting measurements combined with a simple maximum-likelihood decision. Our experimental findings demonstrate that quantum entanglement and simple optics are able to enhance the readout of digital data.
  arXiv  Detail & Related papers  (2020-04-21T18:00:01Z)
• 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.