Verifiable measurement-based quantum random sampling with trapped ions

• URL: http://arxiv.org/abs/2307.14424v2
• Date: Fri, 28 Jun 2024 13:32:23 GMT
• Title: Verifiable measurement-based quantum random sampling with trapped ions
• Authors: Martin Ringbauer, Marcel Hinsche, Thomas Feldker, Paul K. Faehrmann, Juani Bermejo-Vega, Claire Edmunds, Lukas Postler, Roman Stricker, Christian D. Marciniak, Michael Meth, Ivan Pogorelov, Rainer Blatt, Philipp Schindler, Jens Eisert, Thomas Monz, Dominik Hangleiter,
• Abstract summary: Quantum computers are now on the brink of outperforming their classical counterparts. One way to demonstrate the advantage is through quantum random sampling performed on quantum computing devices. Here, we experimentally demonstrate efficiently verifiable quantum random sampling in the measurement-based model of quantum computation.
• Score: 0.7978498178655667
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: Quantum computers are now on the brink of outperforming their classical counterparts. One way to demonstrate the advantage of quantum computation is through quantum random sampling performed on quantum computing devices. However, existing tools for verifying that a quantum device indeed performed the classically intractable sampling task are either impractical or not scalable to the quantum advantage regime. The verification problem thus remains an outstanding challenge. Here, we experimentally demonstrate efficiently verifiable quantum random sampling in the measurement-based model of quantum computation on a trapped-ion quantum processor. We create and sample from random cluster states, which are at the heart of measurement-based computing, up to a size of 4 x 4 qubits. By exploiting the structure of these states, we are able to recycle qubits during the computation to sample from entangled cluster states that are larger than the qubit register. We then efficiently estimate the fidelity to verify the prepared states -- in single instances and on average -- and compare our results to cross-entropy benchmarking. Finally, we study the effect of experimental noise on the certificates. Our results and techniques provide a feasible path toward a verified demonstration of a quantum advantage.

Related papers

• On-Chip Verified Quantum Computation with an Ion-Trap Quantum Processing Unit [0.5497663232622965]
  We present and experimentally demonstrate a novel approach to verification and benchmarking of quantum computing. Unlike previous information-theoretically secure verification protocols, our approach is implemented entirely on-chip. Our results pave the way for more accessible and efficient verification and benchmarking strategies in near-term quantum devices.
  arXiv  Detail & Related papers  (2024-10-31T16:54:41Z)
• The curse of random quantum data [62.24825255497622]
  We quantify the performances of quantum machine learning in the landscape of quantum data. We find that the training efficiency and generalization capabilities in quantum machine learning will be exponentially suppressed with the increase in qubits. Our findings apply to both the quantum kernel method and the large-width limit of quantum neural networks.
  arXiv  Detail & Related papers  (2024-08-19T12:18:07Z)
• Supervised binary classification of small-scale digits images with a trapped-ion quantum processor [56.089799129458875]
  We show that a quantum processor can correctly solve the basic classification task considered. With the increase of the capabilities quantum processors, they can become a useful tool for machine learning.
  arXiv  Detail & Related papers  (2024-06-17T18:20:51Z)
• Power Characterization of Noisy Quantum Kernels [52.47151453259434]
  We show that noise may make quantum kernel methods to only have poor prediction capability, even when the generalization error is small. We provide a crucial warning to employ noisy quantum kernel methods for quantum computation.
  arXiv  Detail & Related papers  (2024-01-31T01:02:16Z)
• Schrödinger as a Quantum Programmer: Estimating Entanglement via Steering [3.187381965457262]
  We develop a quantum algorithm that tests for and quantifies the separability of a general bipartite state by using the quantum steering effect. Our findings provide a meaningful connection between steering, entanglement, quantum algorithms, and quantum computational complexity theory.
  arXiv  Detail & Related papers  (2023-03-14T13:55:06Z)
• Simple Tests of Quantumness Also Certify Qubits [69.96668065491183]
  A test of quantumness is a protocol that allows a classical verifier to certify (only) that a prover is not classical. We show that tests of quantumness that follow a certain template, which captures recent proposals such as (Kalai et al., 2022) can in fact do much more. Namely, the same protocols can be used for certifying a qubit, a building-block that stands at the heart of applications such as certifiable randomness and classical delegation of quantum computation.
  arXiv  Detail & Related papers  (2023-03-02T14:18:17Z)
• 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)
• An Amplitude-Based Implementation of the Unit Step Function on a Quantum Computer [0.0]
  We introduce an amplitude-based implementation for approximating non-linearity in the form of the unit step function on a quantum computer. We describe two distinct circuit types which receive their input either directly from a classical computer, or as a quantum state when embedded in a more advanced quantum algorithm.
  arXiv  Detail & Related papers  (2022-06-07T07:14:12Z)
• Quantum Anomaly Detection with a Spin Processor in Diamond [10.0891240648429]
  We experimentally demonstrate the anomaly detection of quantum states encoding audio samples with a three-qubit quantum processor. By training the quantum machine with a few normal samples, the quantum machine can detect the anomaly samples with a minimum error rate of 15.4%.
  arXiv  Detail & Related papers  (2022-01-25T12:18:01Z)
• Efficient verification of Boson Sampling [0.0]
  We derive an efficient protocol for verifying with single-mode Gaussian measurements the output states of a class of continuous-variable quantum circuits. Our results also enable the efficient and reliable certification of a large class of intractable continuous-variable multimode quantum states.
  arXiv  Detail & Related papers  (2020-06-05T15:55:21Z)
• Boundaries of quantum supremacy via random circuit sampling [69.16452769334367]
  Google's recent quantum supremacy experiment heralded a transition point where quantum computing performed a computational task, random circuit sampling. We examine the constraints of the observed quantum runtime advantage in a larger number of qubits and gates.
  arXiv  Detail & Related papers  (2020-05-05T20:11:53Z)

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.