Perturbative tomography of small errors in quantum gates

• URL: http://arxiv.org/abs/2009.08189v1
• Date: Thu, 17 Sep 2020 10:10:08 GMT
• Title: Perturbative tomography of small errors in quantum gates
• Authors: Ruyu Yang and Ying Li
• Abstract summary: We propose an efficient protocol to reconstruct a set of high-fidelity quantum gates. The protocol is based on a perturbative approach and has two stages. We show that the number of measurements needed in our protocol scales logarithmically with the error rate of gates.
• Score: 5.625946422295428
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose an efficient protocol to fully reconstruct a set of high-fidelity quantum gates. Usually, the efficiency of reconstructing high-fidelity quantum gates is limited by the sampling noise. Our protocol is based on a perturbative approach and has two stages. In the first stage, the initial part of noisy quantum gates is reconstructed by measuring traces of maps, and the trace can be measured by amplifying the noise in a way similar to randomised benchmarking and quantum spectral tomography. In the second stage, by amplifying the non-unital part using the unital part, we can efficiently reconstruct the non-unital part. We show that the number of measurements needed in our protocol scales logarithmically with the error rate of gates.

Related papers

• Dual-GSE: Resource-efficient Generalized Quantum Subspace Expansion [2.3847436897240453]
  A generalized quantum subspace expansion (GSE) has been proposed that is significantly robust against coherent errors. We propose a resource-efficient implementation of GSE, which we name "Dual-GSE" Remarkably, Dual-GSE can further simulate larger quantum systems beyond the size of available quantum hardware.
  arXiv  Detail & Related papers  (2023-09-25T14:28:40Z)
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter [62.997667081978825]
  We introduce a low-overhead protocol to reverse this degradation. We present two trapped-ion schemes for the implementation of a non-unitary probabilistic filter against amplitude damping noise. This filter can be understood as a protocol for single-copy quasi-distillation.
  arXiv  Detail & Related papers  (2022-09-06T18:18:41Z)
• Data post-processing for the one-way heterodyne protocol under composable finite-size security [62.997667081978825]
  We study the performance of a practical continuous-variable (CV) quantum key distribution protocol. We focus on the Gaussian-modulated coherent-state protocol with heterodyne detection in a high signal-to-noise ratio regime. This allows us to study the performance for practical implementations of the protocol and optimize the parameters connected to the steps above.
  arXiv  Detail & Related papers  (2022-05-20T12:37:09Z)
• Measurement-based interleaved randomised benchmarking using IBM processors [0.0]
  Noise is often the dominant factor preventing the successful realisation of advanced quantum computations. We propose an interleaved benchmarking protocol for measurement-based quantum computers. We show that our protocol is able to detect large noise variations in different measurement-based implementations of a gate.
  arXiv  Detail & Related papers  (2022-03-28T18:04:24Z)
• Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage of Quantum Algorithms [76.15799379604898]
  Quantum phase estimation suffers from spectral leakage when the reciprocal of the record length is not an integer multiple of the unknown phase. We propose a dual-frequency estimator, which approaches the Cramer-Rao bound, when multiple samples are available.
  arXiv  Detail & Related papers  (2022-01-23T17:20:34Z)
• Quantum tomography for quantum systems optimization [0.0]
  We investigate the possibility of estimating errors from experiment. These estimates are subsequently used to build a robust quantum tomography model. We show that, having such imperfect single-qubit gates with pre-estimated errors, one can obtain transformations close to ideal ones.
  arXiv  Detail & Related papers  (2022-01-10T10:18:35Z)
• Analytical and experimental study of center line miscalibrations in M\o lmer-S\o rensen gates [51.93099889384597]
  We study a systematic perturbative expansion in miscalibrated parameters of the Molmer-Sorensen entangling gate. We compute the gate evolution operator which allows us to obtain relevant key properties. We verify the predictions from our model by benchmarking them against measurements in a trapped-ion quantum processor.
  arXiv  Detail & Related papers  (2021-12-10T10:56:16Z)
• Compressive gate set tomography [1.3406858660972554]
  Gate set tomography is a characterization approach that simultaneously and self-consistently extracts a tomographic description of the implementation of an entire set of quantum gates. We show that low-rank approximations of gate sets can be obtained from significantly fewer gate sequences. We also demonstrate how coherent errors in shadow estimation protocols can be mitigated using estimates from gate set tomography.
  arXiv  Detail & Related papers  (2021-12-09T19:03:47Z)
• Optimal qubit circuits for quantum-enhanced telescopes [0.0]
  By using distributed entanglement, it is possible to eliminate the loss of stellar photons during transmission over the baselines. The first protocol is a sequence of gates using nonlinear optical elements, optimized over all possible measurement schemes to saturate the Cram'er-Rao bound. The second approach builds on an existing protocol, which encodes the time of arrival of the stellar photon into a quantum memory.
  arXiv  Detail & Related papers  (2021-08-02T21:02:09Z)
• Entanglement purification by counting and locating errors with entangling measurements [62.997667081978825]
  We consider entanglement purification protocols for multiple copies of qubit states. We use high-dimensional auxiliary entangled systems to learn about number and positions of errors in the noisy ensemble.
  arXiv  Detail & Related papers  (2020-11-13T19:02:33Z)
• 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.