A complete continuous-variable quantum computation architecture based on the 2D spatiotemporal cluster state

• URL: http://arxiv.org/abs/2312.13877v5
• Date: Wed, 20 Nov 2024 00:25:59 GMT
• Title: A complete continuous-variable quantum computation architecture based on the 2D spatiotemporal cluster state
• Authors: Peilin Du, Jing Zhang, Tiancai Zhang, Rongguo Yang, Jiangrui Gao,
• Abstract summary: Continuous-variable measurement-based quantum computation is a promising candidate for practical, scalable, universal, and fault-tolerant quantum computation. In this work, a complete architecture including cluster state preparation, gate implementations, and error correction is demonstrated.
• Score: 5.00127829918438
• License:
• Abstract: Continuous-variable measurement-based quantum computation, which requires deterministically generated large-scale cluster state, is a promising candidate for practical, scalable, universal, and fault-tolerant quantum computation. In this work, based on our compact and scalable scheme of generating a two-dimensional spatiotemporal cluster state, a complete architecture including cluster state preparation, gate implementations, and error correction, is demonstrated. First, a scheme for generating two-dimensional large-scale continuous-variable cluster state by multiplexing both the temporal and spatial domains is proposed. Then, the corresponding gate implementations by gate teleportation are discussed and the actual gate noise from the generated cluster state is considered. After that, the quantum error correction can be further achieved by utilizing the square-lattice Gottesman-Kitaev-Preskill (GKP) code. Finally, a fault-tolerant quantum computation can be realized by introducing bias into the square-lattice GKP code (to protect against phase-flip errors) and concatenating a repetition code (to handle the residual bit-flip errors), with a squeezing threshold of 12.3 dB. Our work provides a possible option for a complete fault-tolerant quantum computation architecture in the future.

Related papers

• Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [63.733312560668274]
  Given a quantum circuit containing d tunable RZ gates and G-d Clifford gates, can a learner perform purely classical inference to efficiently predict its linear properties? We prove that the sample complexity scaling linearly in d is necessary and sufficient to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d. We devise a kernel-based learning model capable of trading off prediction error and computational complexity, transitioning from exponential to scaling in many practical settings.
  arXiv  Detail & Related papers  (2024-08-22T08:21:28Z)
• Dual-GSE: Resource-efficient Generalized Quantum Subspace Expansion [2.3847436897240453]
  A generalized quantum subspace expansion (GSE) has been proposed that is significantly robust against coherent errors. We propose a resource-efficient implementation of GSE, which we name "Dual-GSE" Remarkably, Dual-GSE can further simulate larger quantum systems beyond the size of available quantum hardware.
  arXiv  Detail & Related papers  (2023-09-25T14:28:40Z)
• 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)
• Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent and Incoherent Photons Found with Gradient Search [77.34726150561087]
  We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control. We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
  arXiv  Detail & Related papers  (2023-02-28T07:36:02Z)
• On optimization of coherent and incoherent controls for two-level quantum systems [77.34726150561087]
  This article considers some control problems for closed and open two-level quantum systems. The closed system's dynamics is governed by the Schr"odinger equation with coherent control. The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
  arXiv  Detail & Related papers  (2022-05-05T09:08:03Z)
• Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
  We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems. By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
  arXiv  Detail & Related papers  (2021-08-03T17:49:09Z)
• A fault-tolerant continuous-variable measurement-based quantum computation architecture [0.9786690381850356]
  Continuous variable measurement-based quantum computation on cluster states has great potential for scalable, universal, and fault-tolerant quantum computation. No complete fault-tolerant architecture exists that includes everything from cluster state generation with finite squeezing to gate implementations with realistic noise and error correction. We propose a simple architecture for the preparation of a cluster state in three dimensions in which gates by gate teleportation can be efficiently implemented.
  arXiv  Detail & Related papers  (2021-01-08T14:01:05Z)
• Deterministic multi-mode gates on a scalable photonic quantum computing platform [0.0]
  We show a small quantum circuit consisting of 10 single-mode gates and 2 two-mode gates on a three-mode input state. On this platform, fault-tolerant universal quantum computing is possible if the cluster state entanglement is improved.
  arXiv  Detail & Related papers  (2020-10-27T16:37:59Z)
• Architecture and noise analysis of continuous-variable quantum gates using two-dimensional cluster states [0.0]
  We propose a measurement-based quantum computing architecture for the implementation of a universal set of gates on two-dimensional cluster states. We compare the four different states and find that, although they all allow for universal computation, the quad-rail lattice cluster state performs better than the other three states.
  arXiv  Detail & Related papers  (2020-05-27T17:42:42Z)
• 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)
• Temporal-mode continuous-variable 3-dimensional cluster state for topologically-protected measurement-based quantum computation [0.0]
  We propose the method to generate the large-scale 3-dimensional cluster state which is a platform for measurement-based quantum computation. Our method combines a time-domain multiplexing approach with a divide-and-conquer approach, and has the two advantages for implementing large-scale quantum computation.
  arXiv  Detail & Related papers  (2020-04-13T03:04:33Z)

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.