Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation

• URL: http://arxiv.org/abs/2507.07123v1
• Date: Tue, 08 Jul 2025 11:14:30 GMT
• Title: Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation
• Authors: Tomis Prajapati, Harsh Mehta, Shreya Banerjee, Prasanta K. Panigrahi, V. Narayanan,
• Abstract summary: Entanglement witnesses provide a widely used and experimentally accessible approach for detecting genuinely multipartite entangled states.<n>A negative expectation value of the witness operator serves as a sufficient condition for confirming genuine multipartite entanglement.<n>We show the behavior of the EW constructed under the assumption of Markovian and non-Markovian amplitude damping and depolarizing noises.
• Score: 5.361677484495031
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The experimental verification of multipartite entangled states is essential for advancing quantum information processing. Entanglement witnesses (EWs) provide a widely used and experimentally accessible approach for detecting genuinely multipartite entangled states. In this work, we theoretically derive the entanglement witness for the four-qubit Dicke state and experimentally evaluate it on two distinct IBM 127-qubit Quantum Processing Units (QPUs), namely ibm\_sherbrook and ibm\_brisbane. A negative expectation value of the witness operator serves as a sufficient condition for confirming genuine multipartite entanglement. We report the maximum (negative) values of the witness achieved on these QPUs as $-0.178 \pm 0.009$ and $-0.169 \pm 0.002$, corresponding to two different state preparation protocols. Additionally, we theoretically investigate the effect of various noise channels on the genuine entanglement of a four-qubit Dicke state using the Qiskit Aer simulator. We show the behavior of the EW constructed under the assumption of Markovian and non-Markovian amplitude damping and depolarizing noises, bit-phase flip noise, and readout errors. We also investigate the effect of varying thermal relaxation time on the EW, depicting a bound on the $T_1$ time required for successful generation of a Dicke State on a superconducting QPU.

Related papers

• Fidelity Relations in an Array of Neutral Atom Qubits -- Experimental Validation of Control Noise [0.0]
  Noise is a hindering factor for current-era quantum computers.<n>In this study, we experimentally validate the theoretical relationships between control noise and qubit state fidelity.
  arXiv  Detail & Related papers  (2025-06-20T13:04:08Z)
• Low-Fidelity Entanglement Distillation with FIMAX [0.016385815610837167]
  entanglement distillation is the transformation of multiple copies of weakly entangled states into a smaller number of maximally entangled states.<n>We present a comparative analysis of the stabilizer-based two-copy entanglement distillation protocol, FIMAX.<n>Our findings demonstrate that FIMAX exhibits superior performance for low-fidelity bipartite quantum states.
  arXiv  Detail & Related papers  (2025-02-13T12:20:07Z)
• Bayesian Quantum Amplitude Estimation [49.1574468325115]
  We present BAE, a problem-tailored and noise-aware Bayesian algorithm for quantum amplitude estimation.<n>In a fault tolerant scenario, BAE is capable of saturating the Heisenberg limit; if device noise is present, BAE can dynamically characterize it and self-adapt.<n>We propose a benchmark for amplitude estimation algorithms and use it to test BAE against other approaches.
  arXiv  Detail & Related papers  (2024-12-05T18:09:41Z)
• Experimental demonstration of the Bell-type inequalities for four qubit Dicke state using IBM Quantum Processing Units [5.361677484495031]
  We theoretically and experimentally investigate the violation of Bell-type inequalities using two- and four-qubit Dicke states on IBM Quantum Processing Units (QPUs)<n>For the two-qubit case, we demonstrate clear violations of the CHSH inequality, with the highest observed Bell parameter reaching $2.821 pm 0.0019$ using M3 error mitigation.<n>In the four-qubit case, we employ a Bell-type inequality tailored for Dicke states and achieve a maximum violation of $2.607 pm 0.029$ without the need for additional mitigation.
  arXiv  Detail & Related papers  (2024-10-26T18:04:06Z)
• Classical Bandit Algorithms for Entanglement Detection in Parameterized Qubit States [3.5502600490147196]
  Entanglement is a key resource for a wide range of tasks in quantum information and computing. This paper highlights the potential for employing classical machine learning techniques for quantum entanglement detection.
  arXiv  Detail & Related papers  (2024-06-28T08:26:47Z)
• An entanglement-based volumetric benchmark for near-term quantum hardware [45.80648481065638]
  We introduce a benchmark for near-term quantum platforms based on the generation and verification of genuine entanglement across n-qubits. Our benchmark evaluates the robustness of multipartite and bipartite n-qubit entanglement with respect to many sources of hardware noise.
  arXiv  Detail & Related papers  (2022-09-01T18:27:41Z)
• Real-time capable CCD-based individual trapped-ion qubit measurement [0.0]
  The capability of an EMCCD camera with a real-time processing capable output is demonstrated. Experiments on the individual detection of $9$Be$+$ qubit states undergoing coherent excitation are reported.
  arXiv  Detail & Related papers  (2022-04-19T19:54:02Z)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
  We first consider the quantum discrimination of two noiseless displaced number states. We then address the problem of discriminating between two noisy displaced number states.
  arXiv  Detail & Related papers  (2020-12-09T16:56:16Z)
• 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)
• Neural network quantum state tomography in a two-qubit experiment [52.77024349608834]
  Machine learning inspired variational methods provide a promising route towards scalable state characterization for quantum simulators. We benchmark and compare several such approaches by applying them to measured data from an experiment producing two-qubit entangled states. We find that in the presence of experimental imperfections and noise, confining the variational manifold to physical states greatly improves the quality of the reconstructed states.
  arXiv  Detail & Related papers  (2020-07-31T17:25:12Z)

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.