Scalable quantum circuit knitting using a weak-coupling approximation
- URL: http://arxiv.org/abs/2606.19035v2
- Date: Thu, 18 Jun 2026 16:35:21 GMT
- Title: Scalable quantum circuit knitting using a weak-coupling approximation
- Abstract summary: Exact distributed quantum computing requires exponential classical information.<n>We show how the classical cost is reduced if the quantum procedure can be partitioned between a qubit that is weakly coupled the other qubits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present a method for performing distributed quantum computing with controlled approximations. Exact distributed quantum computing requires exponential classical information to reconstruct the quantum process. However, we show how the classical cost is reduced to polynomial if the quantum procedure can be partitioned between a qubit that is weakly coupled the other qubits. We demonstrate our method for a layered circuit based on the circuits used for the quantum approximate optimization algorithm.
Related papers
- Distributed Quantum Computing via Adaptive Circuit Knitting [1.8412409895691513]
We introduce an Adaptive Circuit Knitting (ACK) method that finds efficient partitions of quantum circuits by discovering regions of minimal entanglement between subsystems.<n>We simulate 1D and 2D disordered mixed-field Ising models up to 60 qubits and show that the ACK approach can reduce circuit knitting sampling overheads by up to four orders of magnitude for observables of interest.
arXiv Detail & Related papers (2026-03-12T19:51:32Z) - Non-perturbative switching rates in bistable open quantum systems: from driven Kerr oscillators to dissipative cat qubits [72.41778531863143]
We use path integral techniques to predict the switching rate in a single-mode bistable open quantum system.<n>Our results open new avenues for exploring switching phenomena in multistable single- and many-body open quantum systems.
arXiv Detail & Related papers (2025-07-24T18:01:36Z) - Classical post-processing approach for quantum amplitude estimation [0.0]
We propose an approach for quantum amplitude estimation (QAE) designed to enhance computational efficiency while minimizing the reliance on quantum resources.<n>Our method leverages quantum computers to generate a sequence of signals, from which the quantum amplitude is inferred through classical post-processing techniques.
arXiv Detail & Related papers (2025-02-08T15:51:31Z) - Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [62.46800898243033]
Recent progress in quantum learning theory prompts a question: can linear properties of a large-qubit circuit be efficiently learned from measurement data generated by varying classical inputs?<n>We prove that the sample complexity scaling linearly in $d$ is required to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d.<n>We propose a kernel-based method leveraging classical shadows and truncated trigonometric expansions, enabling a controllable trade-off between prediction accuracy and computational overhead.
arXiv Detail & Related papers (2024-08-22T08:21:28Z) - 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) - FragQC: An Efficient Quantum Error Reduction Technique using Quantum
Circuit Fragmentation [4.2754140179767415]
We present it FragQC, a software tool that cuts a quantum circuit into sub-circuits when its error probability exceeds a certain threshold.
We achieve an increase of fidelity by 14.83% compared to direct execution without cutting the circuit, and 8.45% over the state-of-the-art ILP-based method.
arXiv Detail & Related papers (2023-09-30T17:38:31Z) - Near-Term Distributed Quantum Computation using Mean-Field Corrections
and Auxiliary Qubits [77.04894470683776]
We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production.
We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
arXiv Detail & Related papers (2023-09-11T18:00:00Z) - Forward and Backward Constrained Bisimulations for Quantum Circuits using Decision Diagrams [3.788308836856851]
We develop efficient methods for the simulation of quantum circuits on classic computers.
In particular, we show that constrained bisimulation can boost decision-diagram-based quantum circuit simulation by several orders of magnitude.
arXiv Detail & Related papers (2023-08-18T12:40:47Z) - Numerical Simulations of Noisy Quantum Circuits for Computational
Chemistry [51.827942608832025]
Near-term quantum computers can calculate the ground-state properties of small molecules.
We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
arXiv Detail & Related papers (2021-12-31T16:33:10Z) - Circuit Symmetry Verification Mitigates Quantum-Domain Impairments [69.33243249411113]
We propose circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state.
In particular, we propose the Fourier-temporal stabilizer (STS) technique, which generalizes the conventional quantum-domain formalism to circuit-oriented stabilizers.
arXiv Detail & Related papers (2021-12-27T21:15:35Z) - Reducing the amount of single-qubit rotations in VQE and related
algorithms [0.0]
We show that the number of single-qubit rotations in parameterized quantum circuits can be decreased without compromising the relative expressibility or entangling capability of the circuit.
We also show that the performance of a variational quantum eigensolver is unaffected by a similar decrease in single-qubit rotations.
arXiv Detail & Related papers (2020-05-27T18:00:01Z) - 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) - Synthesizing quantum circuits via numerical optimization [0.0]
We provide a framework for the synthesis of quantum circuits based on a numerical optimization algorithm.
We derive theoretical lower bounds for the number of quantum gates required to implement any quantum algorithm.
arXiv Detail & Related papers (2020-04-16T15:46:26Z)
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.