Non-adaptive measurement-based quantum computation on IBM Q

• URL: http://arxiv.org/abs/2306.03939v1
• Date: Tue, 6 Jun 2023 18:03:06 GMT
• Title: Non-adaptive measurement-based quantum computation on IBM Q
• Authors: Jelena Mackeprang, Daniel Bhatti, Stefanie Barz
• Abstract summary: We generate generalised n-qubit GHZ states and measure Bell inequalities to investigate n-party entanglement of the GHZ states. The implemented Bell inequalities are derived from non-adaptive measurement-based quantum computation (NMQC) We find a violation for a maximum of seven qubits and compare our results to an existing implementation of NMQC using photons.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We test the quantumness of IBM's quantum computer IBM Quantum System One in Ehningen, Germany. We generate generalised n-qubit GHZ states and measure Bell inequalities to investigate the n-party entanglement of the GHZ states. The implemented Bell inequalities are derived from non-adaptive measurement-based quantum computation (NMQC), a type of quantum computing that links the successful computation of a non-linear function to the violation of a multipartite Bell-inequality. The goal is to compute a multivariate Boolean function that clearly differentiates non-local correlations from local hidden variables (LHVs). Since it has been shown that LHVs can only compute linear functions, whereas quantum correlations are capable of outputting every possible Boolean function it thus serves as an indicator of multipartite entanglement. Here, we compute various non-linear functions with NMQC on IBM's quantum computer IBM Quantum System One and thereby demonstrate that the presented method can be used to characterize quantum devices. We find a violation for a maximum of seven qubits and compare our results to an existing implementation of NMQC using photons.

Related papers

• 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)
• Parallel Quantum Computing Simulations via Quantum Accelerator Platform Virtualization [44.99833362998488]
  We present a model for parallelizing simulation of quantum circuit executions. The model can take advantage of its backend-agnostic features, enabling parallel quantum circuit execution over any target backend.
  arXiv  Detail & Related papers  (2024-06-05T17:16:07Z)
• 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)
• TeD-Q: a tensor network enhanced distributed hybrid quantum machine learning framework [59.07246314484875]
  TeD-Q is an open-source software framework for quantum machine learning. It seamlessly integrates classical machine learning libraries with quantum simulators. It provides a graphical mode in which the quantum circuit and the training progress can be visualized in real-time.
  arXiv  Detail & Related papers  (2023-01-13T09:35:05Z)
• Quantum advantage in temporally flat measurement-based quantum computation [0.0]
  We study the efficiency of measurement-based quantum computation with a completely flat temporal ordering of measurements. We identify a family of Boolean functions for which deterministic evaluation using non-adaptive MBQC is possible.
  arXiv  Detail & Related papers  (2022-12-07T14:34:56Z)
• Optimal Stochastic Resource Allocation for Distributed Quantum Computing [50.809738453571015]
  We propose a resource allocation scheme for distributed quantum computing (DQC) based on programming to minimize the total deployment cost for quantum resources. The evaluation demonstrates the effectiveness and ability of the proposed scheme to balance the utilization of quantum computers and on-demand quantum computers.
  arXiv  Detail & Related papers  (2022-09-16T02:37:32Z)
• The power of qutrits for non-adaptive measurement-based quantum computing [0.0]
  We prove that quantum correlations enable the computation of all ternary functions using the generalised qutrit Greenberger-Horne-Zeilinger (GHZ) state as a resource and at most $3n-1$ qutrits. This yields a corresponding generalised GHZ type paradox for any ternary function that LHVs cannot compute.
  arXiv  Detail & Related papers  (2022-03-23T13:41:22Z)
• Quantum Neuron with Separable-State Encoding [0.0]
  It is not yet possible to test advanced quantum neuron models on a large scale in currently available quantum processors. We propose a quantum perceptron (QP) model that uses a reduced number of multi-qubit gates. We demonstrate the performance of the proposed model by implementing a few qubits version of the QP in a simulated quantum computer.
  arXiv  Detail & Related papers  (2022-02-16T19:26:23Z)
• 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)
• Experimental violations of Leggett-Garg's inequalities on a quantum computer [77.34726150561087]
  We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems. Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
  arXiv  Detail & Related papers  (2021-09-06T14:35:15Z)
• Correlations for computation and computation for correlations [0.0]
  We connect quantum correlations with computation using 4-photon Greenberger-Horne-Zeilinger (GHZ) states. We show how the generated states can be used to specifically compute Boolean functions. The connection between quantum correlation and computability shown here has applications in quantum technologies.
  arXiv  Detail & Related papers  (2020-05-04T18:33:13Z)

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.