Peaked quantum advantage using error correction

• URL: http://arxiv.org/abs/2510.05262v1
• Date: Mon, 06 Oct 2025 18:31:10 GMT
• Title: Peaked quantum advantage using error correction
• Authors: Abhinav Deshpande, Bill Fefferman, Soumik Ghosh, Michael Gullans, Dominik Hangleiter,
• Abstract summary: A key issue of current quantum advantage experiments is that their verification requires a full simulation of the ideal computation.<n>This limits the regime in which the experiments can be verified to precisely the regime in which they are also simulatable.<n>We make progress on this question by proposing a new quantum advantage proposal--Hidden Code Sampling--whose output is conditionally peaked.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: A key issue of current quantum advantage experiments is that their verification requires a full classical simulation of the ideal computation. This limits the regime in which the experiments can be verified to precisely the regime in which they are also simulatable. An important outstanding question is therefore to find quantum advantage schemes that are also classically verifiable. We make progress on this question by designing a new quantum advantage proposal--Hidden Code Sampling--whose output distribution is conditionally peaked. These peaks enable verification in far less time than it takes for full simulation. At the same time, we show that exactly sampling from the output distribution is classically hard unless the polynomial hierarchy collapses, and we propose a plausible conjecture regarding average-case hardness. Our scheme is based on ideas from quantum error correction. The required quantum computations are closely related to quantum fault-tolerant circuits and can potentially be implemented transversally. Our proposal may thus give rise to a next generation of quantum advantage experiments en route to full quantum fault tolerance.

Related papers

• Demonstrating an unconditional separation between quantum and classical information resources [1.4850289280359021]
  We demonstrate an unconditional quantum advantage in information resources required for a computational task.<n>We construct a task for which the most space-efficient classical algorithm provably requires between 62 and 382 bits of memory, and solve it using only 12 qubits.<n>This form of quantum advantage represents a new benchmark in quantum computing.
  arXiv  Detail & Related papers  (2025-09-08T22:18:27Z)
• Quantum Computer Does Not Need Coherent Quantum Access for Advantage [0.0]
  A majority of quantum speedups rely on a subroutine in which classical information can be accessed in a coherent quantum manner.<n>We develop a quantum gradient descent algorithm for optimization, which is a fundamental technique that enjoys a wide range of applications.
  arXiv  Detail & Related papers  (2025-03-04T11:24:28Z)
• Optimization via Quantum Preconditioning [0.0]
  We introduce a quantum preconditioning approach based on the quantum approximate optimization.<n>It transforms the input problem into a more suitable form for a solver with the level of preconditioning determined by the depth of the quantum circuit.<n>We demonstrate that best-in-class classical algorithms can converge more rapidly when given quantum preconditioned input for various problems.
  arXiv  Detail & Related papers  (2025-02-25T19:00:41Z)
• On verifiable quantum advantage with peaked circuit sampling [9.551919087634522]
  We show that getting $1/textpoly(n)$ peakedness from such circuits requires $tau_p = Omega(tau_r/n)0.19)$ with overwhelming probability. We also give numerical evidence that nontrivial peakedness is possible in this model.
  arXiv  Detail & Related papers  (2024-04-22T18:00:06Z)
• Practical limitations of quantum data propagation on noisy quantum processors [0.9362259192191963]
  We show that owing to the noisy nature of current quantum processors, such a quantum algorithm will require single- and two-qubit gates with very low error probability to produce reliable results. Specifically, we provide the upper bounds on how the relative error in variational parameters' propagation scales with the probability of noise in quantum hardware.
  arXiv  Detail & Related papers  (2023-06-22T17:12:52Z)
• Quantum process tomography of continuous-variable gates using coherent states [49.299443295581064]
  We demonstrate the use of coherent-state quantum process tomography (csQPT) for a bosonic-mode superconducting circuit. We show results for this method by characterizing a logical quantum gate constructed using displacement and SNAP operations on an encoded qubit.
  arXiv  Detail & Related papers  (2023-03-02T18:08:08Z)
• 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)
• Escaping from the Barren Plateau via Gaussian Initializations in Deep Variational Quantum Circuits [63.83649593474856]
  Variational quantum circuits have been widely employed in quantum simulation and quantum machine learning in recent years.<n>However, quantum circuits with random structures have poor trainability due to the exponentially vanishing gradient with respect to the circuit depth and the qubit number.<n>This result leads to a general standpoint that deep quantum circuits would not be feasible for practical tasks.
  arXiv  Detail & Related papers  (2022-03-17T15:06:40Z)
• Interactive Protocols for Classically-Verifiable Quantum Advantage [46.093185827838035]
  "Interactions" between a prover and a verifier can bridge the gap between verifiability and implementation. We demonstrate the first implementation of an interactive quantum advantage protocol, using an ion trap quantum computer.
  arXiv  Detail & Related papers  (2021-12-09T19:00:00Z)
• Depth-efficient proofs of quantumness [77.34726150561087]
  A proof of quantumness is a type of challenge-response protocol in which a classical verifier can efficiently certify quantum advantage of an untrusted prover. In this paper, we give two proof of quantumness constructions in which the prover need only perform constant-depth quantum circuits.
  arXiv  Detail & Related papers  (2021-07-05T17:45:41Z)
• Sampling and the complexity of nature [0.0]
  I investigate the complexity-theoretic and physical foundations of quantum sampling algorithms. I shed light on how and under which conditions quantum sampling devices can be tested or verified. An overarching theme of the thesis is the quantum sign problem which arises due to destructive interference between paths.
  arXiv  Detail & Related papers  (2020-12-14T19:35:27Z)
• Simpler Proofs of Quantumness [16.12500804569801]
  A proof of quantumness is a method for provably demonstrating that a quantum device can perform computational tasks that a classical device cannot. There are currently three approaches for exhibiting proofs of quantumness. We give a two-message (challenge-response) proof of quantumness based on any trapdoor claw-free function.
  arXiv  Detail & Related papers  (2020-05-11T01:31:18Z)
• 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.