Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits

• URL: http://arxiv.org/abs/2010.02941v1
• Date: Tue, 6 Oct 2020 18:00:07 GMT
• Title: Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits
• Authors: Andrea Rodriguez-Blanco, Alejandro Bermudez, Markus M\"uller, Farid Shahandeh
• Abstract summary: 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.
• Score: 58.720142291102135
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Ensuring the correct functioning of quantum error correction (QEC) circuits is crucial to achieve fault tolerance in realistic quantum processors subjected to noise. The first checkpoint for a fully operational QEC circuit is to create genuine multipartite entanglement across all subsystems of physical qubits. We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) that is efficient in the number of subsystems and, importantly, robust against experimental noise and imperfections. Specifically, we prove that the detection of entanglement in a linear number of bipartitions by a number of measurements that also scales linearly, suffices to certify GME. Moreover, our method goes beyond the standard procedure of separating the state from the convex hull of biseparable states, yielding an improved finesse and robustness compared to previous techniques. 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. In particular, we subject the circuits to combinations of three types of noise, namely, uniform depolarizing noise, two-qubit gate depolarizing noise, and bit-flip measurement noise. We numerically compare our method with the standard, yet generally inefficient, fidelity test and to a pair of efficient witnesses, verifying the increased robustness of our method. Last but not least, we provide the full translation of our analysis to a trapped-ion native gate set that makes it suitable for experimental applications.

Related papers

• Benchmarking Single-Qubit Gates on a Noise-Biased Qubit Beyond the Fault-Tolerant Threshold [1.4812736095876513]
  Noise in quantum system hinders the advancement of quantum information processing. One of the most promising platforms to achieve fault-tolerance is qubits with structured noise.
  arXiv  Detail & Related papers  (2024-11-07T05:34:18Z)
• Error filtration from optimized quantum circuit interference [0.0]
  We develop an optimized hardware strategy to mitigate errors in a noisy qubit. Our scheme builds on the physical principle of error filtration and exploits auxiliary qubits.
  arXiv  Detail & Related papers  (2024-09-02T17:58:44Z)
• Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips [11.364693110852738]
  We report the experimental realization of robust quantum gates in superconducting quantum circuits. Our work provides a versatile toolbox for achieving noise-resilient complex quantum circuits.
  arXiv  Detail & Related papers  (2024-01-03T16:12:35Z)
• Fault-tolerant quantum architectures based on erasure qubits [49.227671756557946]
  We exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into erasures at known locations. We propose and optimize QEC schemes based on erasure qubits and the recently-introduced Floquet codes. Our results demonstrate that, despite being slightly more complex, QEC schemes based on erasure qubits can significantly outperform standard approaches.
  arXiv  Detail & Related papers  (2023-12-21T17:40:18Z)
• Readout error mitigated quantum state tomography tested on superconducting qubits [0.0]
  We test the ability of readout error mitigation to correct realistic noise found in systems composed of quantum two-level objects (qubits) By treating readout error mitigation in the context of state tomography the method becomes largely readout mode-, architecture-, noise source-, and quantum state-independent. We identify noise sources for which readout error mitigation worked well, and observed decreases in readout by a factor of up to 30.
  arXiv  Detail & Related papers  (2023-12-07T10:54:17Z)
• Detecting and Eliminating Quantum Noise of Quantum Measurements [3.871198861387443]
  We first detect and then eliminate quantum noise so that the classical noise assumption is satisfied. We demonstrate the feasibility of the two-stage procedure numerically on Baidu Quantum Platform. Remarkably, the results show that quantum noise in measurement devices is significantly suppressed, and the quantum accuracy is substantially improved.
  arXiv  Detail & Related papers  (2022-06-28T03:58:10Z)
• Measuring NISQ Gate-Based Qubit Stability Using a 1+1 Field Theory and Cycle Benchmarking [50.8020641352841]
  We study coherent errors on a quantum hardware platform using a transverse field Ising model Hamiltonian as a sample user application. We identify inter-day and intra-day qubit calibration drift and the impacts of quantum circuit placement on groups of qubits in different physical locations on the processor. This paper also discusses how these measurements can provide a better understanding of these types of errors and how they may improve efforts to validate the accuracy of quantum computations.
  arXiv  Detail & Related papers  (2022-01-08T23:12:55Z)
• 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)
• Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions [62.997667081978825]
  We present a study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-addressed laser beams. This type of errors affects spectator qubits that, ideally, should remain unaltered during the application of single- and two-qubit quantum gates addressed at a different set of active qubits. We microscopically model crosstalk errors from first principles and present a detailed study showing the importance of using a coherent vs incoherent error modelling and, moreover, discuss strategies to actively suppress this crosstalk at the gate level.
  arXiv  Detail & Related papers  (2020-12-21T14:20:40Z)
• Entanglement-assisted entanglement purification [62.997667081978825]
  We present a new class of entanglement-assisted entanglement purification protocols that can generate high-fidelity entanglement from noisy, finite-size ensembles. Our protocols can deal with arbitrary errors, but are best suited for few errors, and work particularly well for decay noise.
  arXiv  Detail & Related papers  (2020-11-13T19:00:05Z)

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.