Semi-device independent nonlocality certification for near-term quantum networks

• URL: http://arxiv.org/abs/2305.14116v1
• Date: Tue, 23 May 2023 14:39:08 GMT
• Title: Semi-device independent nonlocality certification for near-term quantum networks
• Authors: Sophie Engineer, Ana C. S. Costa, Alexandre C. Orthey Jr., Xiaogang Qiang, Jianwei Wang, Jeremy L. O'Brien, Jonathan C.F. Matthews, Will McCutcheon, Roope Uola, and Sabine Wollmann
• Abstract summary: Bell tests are the most rigorous method for verifying entanglement in quantum networks. If there is any signaling between the parties, then the violation of Bell inequalities can no longer be used. We propose a semi-device independent protocol that allows us to numerically correct for effects of correlations in experimental probability distributions.
• Score: 46.37108901286964
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Verifying entanglement between parties is essential for creating a secure quantum network, and Bell tests are the most rigorous method for doing so. However, if there is any signaling between the parties, then the violation of these inequalities can no longer be used to draw conclusions about the presence of entanglement. This is because signaling between the parties allows them to coordinate their measurement settings and outcomes, which can give rise to a violation of Bell inequalities even if the parties are not genuinely entangled. There is a pressing need to examine the role of signaling in quantum communication protocols from multiple perspectives, including communication security, physics foundations, and resource utilization while also promoting innovative technological applications. Here, we propose a semi-device independent protocol that allows us to numerically correct for effects of correlations in experimental probability distributions, caused by statistical fluctuations and experimental imperfections. Our noise robust protocol presents a relaxation of a tomography-based optimisation method called the steering robustness, that uses semidefinite programming to numerically identify the optimal quantum steering inequality without the need for resource-intensive tomography. The proposed protocol is numerically and experimentally analyzed in the context of random, misaligned measurements, correcting for signalling where necessary, resulting in a higher probability of violation compared to existing state-of-the-art inequalities. Our work demonstrates the power of semidefinite programming for entanglement verification and brings quantum networks closer to practical applications.

Related papers

• Noise robustness of a multiparty quantum summation protocol [0.0]
  Near-term quantum networks are noisy, and hence correctness and security of protocols are not guaranteed. We study the impact of both depolarising and dephasing noise on a multiparty summation protocol with imperfect shared entangled states. We conclude by eliminating the need for a trusted third party in the protocol using Shamir's secret sharing.
  arXiv  Detail & Related papers  (2023-11-26T14:29:49Z)
• Geometry of sequential quantum correlations and robust randomness certification [0.0]
  We study the geometry of quantum correlations and their implications for robust device-independent randomness generation. We identify a boundary for the set of these correlations expressed as a trade-off between the amount of nonlocality between different observers. We propose a practical protocol based on non-projective measurements that can produce the boundary correlations under ideal conditions.
  arXiv  Detail & Related papers  (2023-09-21T17:50:29Z)
• Monte Carlo approach to the evaluation of the security of device-independent quantum key distribution [0.16317061277456998]
  We present a generic study on the information-theoretic security of multi-setting device-independent quantum key distribution protocols. The approach we develop yields nontrivial upper bounds on the secure key rates, along with the detection efficiencies required upon the measuring devices.
  arXiv  Detail & Related papers  (2023-08-06T06:07:06Z)
• Entropy Accumulation under Post-Quantum Cryptographic Assumptions [4.416484585765028]
  In device-independent (DI) quantum protocols, the security statements are oblivious to the characterization of the quantum apparatus. We present a flexible framework for proving the security of such protocols by utilizing a combination of tools from quantum information theory.
  arXiv  Detail & Related papers  (2023-07-02T12:52:54Z)
• Robust and efficient verification of graph states in blind measurement-based quantum computation [52.70359447203418]
  Blind quantum computation (BQC) is a secure quantum computation method that protects the privacy of clients. It is crucial to verify whether the resource graph states are accurately prepared in the adversarial scenario. Here, we propose a robust and efficient protocol for verifying arbitrary graph states with any prime local dimension.
  arXiv  Detail & Related papers  (2023-05-18T06:24:45Z)
• Importance sampling for stochastic quantum simulations [68.8204255655161]
  We introduce the qDrift protocol, which builds random product formulas by sampling from the Hamiltonian according to the coefficients. We show that the simulation cost can be reduced while achieving the same accuracy, by considering the individual simulation cost during the sampling stage. Results are confirmed by numerical simulations performed on a lattice nuclear effective field theory.
  arXiv  Detail & Related papers  (2022-12-12T15:06:32Z)
• 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)
• Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer [64.47265213752996]
  We experimentally demonstrate a fault-tolerant weight-4 parity check measurement scheme. We achieve a flag-conditioned parity measurement single-shot fidelity of 93.2(2)%. The scheme is an essential building block in a broad class of stabilizer quantum error correction protocols.
  arXiv  Detail & Related papers  (2021-07-13T20:08:04Z)
• Bell nonlocality is not sufficient for the security of standard device-independent quantum key distribution protocols [1.9573380763700712]
  Device-independent quantum key distribution is a secure quantum cryptographic paradigm that allows two honest users to establish a secret key. We show that no protocol of this form allows for establishing a secret key when implemented on any correlation obtained by measuring local projective measurements.
  arXiv  Detail & Related papers  (2021-03-03T19:10:06Z)
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits [58.720142291102135]
  We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) We prove that the detection of entanglement in a linear number of bipartitions by a number of measurements scales linearly, suffices to certify GME. We apply our method to the noisy readout of stabilizer operators of the distance-three topological color code and its flag-based fault-tolerant version.
  arXiv  Detail & Related papers  (2020-10-06T18:00:07Z)

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.