High-precision tomography of ion qubits based on registration of fluorescent photons

• URL: http://arxiv.org/abs/2307.02890v1
• Date: Thu, 6 Jul 2023 09:53:39 GMT
• Title: High-precision tomography of ion qubits based on registration of fluorescent photons
• Abstract summary: We develop a new method for high-precision tomography of ion qubit registers under conditions of limited distinguishability of its logical states. We show that the developed model contains significantly more information about the state of the qubit and provides a higher accuracy of state reconstruction compared to the model based on the threshold algorithm.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We develop a new method for high-precision tomography of ion qubit registers under conditions of limited distinguishability of its logical states. It is not always possible to achieve low error rates during the readout of the quantum states of ion qubits due to the finite lifetime of excited levels, photon scattering, dark noise, low numerical aperture, etc. However, the model of fuzzy quantum measurements makes it possible to ensure precise tomography of quantum states. To do this, we developed a fuzzy measurement model based on counting the number of fluorescent photons. A statistically adequate algorithm for the reconstruction of quantum states of ion qubit registers based on fuzzy measurement operators is proposed. The algorithm uses the complete information available in the experiment and makes it possible to account for systematic measurement errors associated with the limited distinguishability of the logical states of ion qubits. We show that the developed model, although computationally more complex, contains significantly more information about the state of the qubit and provides a higher accuracy of state reconstruction compared to the model based on the threshold algorithm.

Related papers

• Enhancing Optical Imaging via Quantum Computation [39.552727943241145]
  We show that coherently encoding photonic amplitude information into qubit registers can be used to process the stored information from asynchronously arriving optical signals.<n>We demonstrate that orders-of-magnitude improvements in performance can be achieved under realistic imaging conditions using relatively small scale quantum processors.
  arXiv  Detail & Related papers  (2025-09-11T13:48:51Z)
• Digital quantum simulation of squeezed states via enhanced bosonic encoding in a superconducting quantum processor [33.56337116542515]
  We present a fully digital approach for simulating single-mode squeezed states on a superconducting quantum processor.<n>By mapping up to 2n photonic Fock states onto n qubits, our framework leverages Gray-code-based encodings to reduce gate overhead.<n>We further optimize resource usage by restricting the simulation on Fock states with even number of photons only.
  arXiv  Detail & Related papers  (2025-05-16T06:02:25Z)
• Experimental verification of Threshold Quantum State Tomography on a fully-reconfigurable photonic integrated circuit [0.0]
  We show experimentally the application of an approach, called threshold quantum state tomography, in an advanced hybrid photonic platform. This approach does not require a priori knowledge on the state, and selects only the informative projectors starting from the measurement of the density matrix diagonal. We show the effectiveness of this approach in a photonic platform, showing that a consistent reduction in the number of measurement is obtained while reconstructing relevant states for quantum protocols, with only very limited loss of information.
  arXiv  Detail & Related papers  (2025-04-07T13:47:41Z)
• CondiQuant: Condition Number Based Low-Bit Quantization for Image Super-Resolution [59.91470739501034]
  We propose CondiQuant, a condition number based low-bit post-training quantization for image super-resolution. We show that CondiQuant outperforms existing state-of-the-art post-training quantization methods in accuracy without computation overhead.
  arXiv  Detail & Related papers  (2025-02-21T14:04:30Z)
• Neural Network Enhanced Single-Photon Fock State Tomography [6.434126816101052]
  We report the experimental implementation of single-photon quantum state tomography by directly estimating target parameters. Our neural network enhanced quantum state tomography characterizes the photon number distribution for all possible photon number states from the balanced homodyne detectors. Such a fast, robust, and precise quantum state tomography provides us a crucial diagnostic toolbox for the applications with single-photon Fock states and other non-Gaussisan quantum states.
  arXiv  Detail & Related papers  (2024-05-05T04:58:18Z)
• Making Every Photon Count: A Quantum Polyspectra Approach to the Dynamics of Blinking Quantum Emitters at Low Photon Rates Without Binning [0.0]
  We present an evaluation scheme that eliminates the need for a minimum photon flux and the usual binning of photon events. By virtue of this approach we can determine on- and off-switching rates of a semiconductor quantum dot at light levels 1000 times lower than in a standard experiment.
  arXiv  Detail & Related papers  (2023-10-16T14:43:42Z)
• Multi-qubit State Tomography with Few Pauli Measurements [8.611891055029076]
  A characterization tool, Quantum state tomography, reconstructs the density matrix of an unknown quantum state. This is less practical owing to the huge burden of measurements and data processing for large numbers of qubits. We build an efficient framework that requires fewer measurements but yields an expected accuracy.
  arXiv  Detail & Related papers  (2023-05-31T14:10:26Z)
• Experimental realization of deterministic and selective photon addition in a bosonic mode assisted by an ancillary qubit [50.591267188664666]
  Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss. Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states. Here, we realize a collection of photon-number-selective, simultaneous photon addition operations on a bosonic mode.
  arXiv  Detail & Related papers  (2022-12-22T23:32:21Z)
• 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)
• Quantum state tomography with tensor train cross approximation [84.59270977313619]
  We show that full quantum state tomography can be performed for such a state with a minimal number of measurement settings. Our method requires exponentially fewer state copies than the best known tomography method for unstructured states and local measurements.
  arXiv  Detail & Related papers  (2022-07-13T17:56:28Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• High-fidelity tomography of fluorescent ion qubits under conditions of limited discrimination between bright and dark levels [0.0]
  In the considered ion qubits, the identification of the quantum state is achieved by measuring the fluorescence of the ion. We show that the factor of reducing the loss of accuracy with the use of the model of fuzzy measurements can reach values of the order of 1000 or more in comparison with standard measurements.
  arXiv  Detail & Related papers  (2022-01-09T19:11:08Z)
• Bosonic field digitization for quantum computers [62.997667081978825]
  We address the representation of lattice bosonic fields in a discretized field amplitude basis. We develop methods to predict error scaling and present efficient qubit implementation strategies.
  arXiv  Detail & Related papers  (2021-08-24T15:30:04Z)
• Conditional preparation of non-Gaussian quantum optical states by mesoscopic measurement [62.997667081978825]
  Non-Gaussian states of an optical field are important as a proposed resource in quantum information applications. We propose a novel approach involving displacement of the ancilla field into the regime where mesoscopic detectors can be used. We conclude that states with strong Wigner negativity can be prepared at high rates by this technique under experimentally attainable conditions.
  arXiv  Detail & Related papers  (2021-03-29T16:59:18Z)
• Semi-device-dependent blind quantum tomography [1.3075880857448061]
  Current schemes typically require measurement devices for tomography that are a priori calibrated to high precision. We show that exploiting the natural low-rank structure of quantum states of interest suffices to arrive at a highly scalable blind' tomography scheme. We numerically demonstrate that robust blind quantum tomography is possible in a practical setting inspired by an implementation of trapped ions.
  arXiv  Detail & Related papers  (2020-06-04T18:00:04Z)
• Gaussian Process States: A data-driven representation of quantum many-body physics [59.7232780552418]
  We present a novel, non-parametric form for compactly representing entangled many-body quantum states. The state is found to be highly compact, systematically improvable and efficient to sample. It is also proven to be a universal approximator' for quantum states, able to capture any entangled many-body state with increasing data set size.
  arXiv  Detail & Related papers  (2020-02-27T15:54:44Z)

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.