Fault-Tolerant One-Shot Entanglement Generation with Constant-Sized Quantum Devices in the Plane

• URL: http://arxiv.org/abs/2604.05870v1
• Date: Tue, 07 Apr 2026 13:28:50 GMT
• Title: Fault-Tolerant One-Shot Entanglement Generation with Constant-Sized Quantum Devices in the Plane
• Abstract summary: Consider a rectangular grid of qubits in 2D with single-qubit and nearest-neighbor two-qubit operations subject to local Pauli noise.<n>We give a protocol which robustly generates entanglement between distant qubits in this setup.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Consider a rectangular grid of qubits in 2D with single-qubit and nearest-neighbor two-qubit operations subject to local stochastic Pauli noise. At different length scales, this setup describes both a single quantum computing device with geometrically limited connectivity between qubits arranged on a disc, and planar networks composed of quantum repeater stations of constant size. We give a protocol which robustly generates entanglement between distant qubits in this setup. For noise below a constant threshold error strength, it generates a constant-fidelity Bell pair between qubits separated by an arbitrarily large distance $R$. To generate distance-$R$ entanglement, a rectangular grid of qubits of dimensions $Θ(R)\times Θ(\mathsf{poly}(\log R))$ suffices. Our protocol applies quantum operations in one shot, establishing a Bell state in a constant time up to a known Pauli correction. In contrast, existing entanglement generation protocols either require local quantum devices controlling a number of qubits growing with the targeted distance, or are not single-shot, i.e., have a distance-dependent execution time. The protocol leverages many-body entanglement in networks and provides the first example of a short-range entangled state in 2D with long-range localizable entanglement robust to local stochastic Pauli noise. As an immediate corollary, we construct a 2D-local stabilizer Hamiltonian whose Gibbs states possess long-range localizable entanglement at constant positive temperature.

Related papers

• Quantum Dynamic Time Warping for Multivariate Time Series Classification [41.99844472131922]
  We propose a hybrid Quantum Dynamic Time Warping architecture, replacing the classical distance metric with the parameterized geometry of a quantum Hilbert space.<n>We demonstrate this architecture allows untrained quantum kernels to act as highly expressive baselines, while parameterized training effectively untangles deeply overlapping hyper-dimensional data.
  arXiv  Detail & Related papers  (2026-06-26T07:58:37Z)
• Pseudoentanglement in constant depth: How trivial states can have non-trivial entanglement structure [52.51019642214249]
  We construct a family of 2D-local constant-depth quantum circuits whose entanglement entropy across a cut cannot be estimated in quantum time.<n>As constant-depth quantum circuits can be learned from specifiedly many quantum samples, our resulting pseudoentangled states are implicitly public-key and not pseudorandom.
  arXiv  Detail & Related papers  (2026-05-29T15:43:00Z)
• Approaching the Limit in Multiparameter AC Magnetometry with Quantum Control [22.22957615478987]
  We introduce a quantum control protocol that resolves the problem of estimating the amplitude and frequency of an AC magnetic field.<n>It not only removes the singularity but also restores the optimal scaling of precision with interrogation time for both parameters simultaneously.<n>We experimentally validate this protocol using a nitrogen-vacancy center in diamond at room temperature, demonstrating the concurrent achievement of the optimal scaling for both parameters.
  arXiv  Detail & Related papers  (2026-02-19T18:55:17Z)
• Autonomous stabilization of remote entanglement in a cascaded quantum network [0.44970015278813036]
  We show that remote entanglement can be stabilized indefinitely, instead of only periodically regenerated and redistributed after decay.<n>Our results enable on-demand delivery of high-fidelity entanglement in modular quantum processors and networks.
  arXiv  Detail & Related papers  (2025-09-15T12:50:35Z)
• Equally entangled multiqubit states [0.0]
  We present a protocol for generating multiqubit quantum states with translationally invariant pairwise entanglement.<n>Our approach is tailored for digital quantum computers with restricted qubit connectivity.
  arXiv  Detail & Related papers  (2025-08-28T13:26:13Z)
• Qubit encodings for lattices of dipolar planar rotors [39.58317527488534]
  We investigate two qubit representations of the planar rotor lattice Hamiltonian.<n>The first representation is realized by decomposing the rotor Hamiltonian projectors in binary and mapping them to spin-1/2 projectors.<n>The second approach relies on embedding the planar rotor lattice Hilbert space in a larger space and recovering the relevant qubit encoded system as a quotient space projecting down to the physical degrees of freedom.
  arXiv  Detail & Related papers  (2025-07-23T21:48:20Z)
• Extending Quantum Perceptrons: Rydberg Devices, Multi-Class Classification, and Error Tolerance [67.77677387243135]
  Quantum Neuromorphic Computing (QNC) merges quantum computation with neural computation to create scalable, noise-resilient algorithms for quantum machine learning (QML) At the core of QNC is the quantum perceptron (QP), which leverages the analog dynamics of interacting qubits to enable universal quantum computation.
  arXiv  Detail & Related papers  (2024-11-13T23:56:20Z)
• Quantum repeater protocol for deterministic distribution of macroscopic entanglement [0.0]
  We present a method to distribute a macroscopic amount of entanglement across long-distances using a number of operations that scales only linearly with the chain length. We show that there are particular magic'' interaction times that allow for distribution of entanglement with perfect fidelity, with no degradation with chain length.
  arXiv  Detail & Related papers  (2024-07-31T20:01:13Z)
• Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays [45.19832622389592]
  Storing quantum information requires battling quantum decoherence, which results in a loss of information over time. To achieve error-resistant quantum memory, one would like to store the information in a quantum superposition of degenerate states engineered in such a way that local sources of noise cannot change one state into another. We show that this platform also allows to detect and correct certain types of errors en route to the goal of true error-resistant quantum memory.
  arXiv  Detail & Related papers  (2024-07-08T12:46:08Z)
• Non-Local Multi-Qubit Quantum Gates via a Driven Cavity [0.0]
  We present two protocols for implementing deterministic non-local multi-qubit quantum gates on qubits coupled to a common cavity mode. The protocols rely only on a classical drive of the cavity modes, while no external drive of the qubits is required. We provide estimates of gate fidelities and durations for atomic and molecular qubits coupled to optical or microwave cavities, and suggest applications for quantum error correction.
  arXiv  Detail & Related papers  (2023-03-23T09:30:42Z)
• Long-range data transmission in a fault-tolerant quantum bus architecture [0.0]
  Scheme generates a maximally entangled state of two qubits using a depth-$6$ circuit consisting of nearest-neighbor Clifford gates and local measurements only. We prove a converse bound $Omega(log R)$ on the number of qubits per repeater among all low-latency schemes for fault-tolerant quantum communication over distance.
  arXiv  Detail & Related papers  (2022-09-20T14:57:27Z)
• A quantum processor based on coherent transport of entangled atom arrays [44.62475518267084]
  We show a quantum processor with dynamic, nonlocal connectivity, in which entangled qubits are coherently transported in a highly parallel manner. We use this architecture to realize programmable generation of entangled graph states such as cluster states and a 7-qubit Steane code state.
  arXiv  Detail & Related papers  (2021-12-07T19:00:00Z)
• Telecom-heralded entanglement between remote multimode solid-state quantum memories [55.41644538483948]
  Future quantum networks will enable the distribution of entanglement between distant locations and allow applications in quantum communication, quantum sensing and distributed quantum computation. Here we report the demonstration of heralded entanglement between two spatially separated quantum nodes, where the entanglement is stored in multimode solid-state quantum memories. We also show that the generated entanglement is robust against loss in the heralding path, and demonstrate temporally multiplexed operation, with 62 temporal modes.
  arXiv  Detail & Related papers  (2021-01-13T14:31:54Z)

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.