Continuous-Variable Fault-Tolerant Quantum Computation under General Noise

• URL: http://arxiv.org/abs/2410.12365v1
• Date: Wed, 16 Oct 2024 08:34:50 GMT
• Title: Continuous-Variable Fault-Tolerant Quantum Computation under General Noise
• Authors: Takaya Matsuura, Nicolas C. Menicucci, Hayata Yamasaki,
• Abstract summary: We show that the Markovian-type noise in CV systems is translated into the Markovian-type noise in the logical qubits through the Gottesman-Kitaev-Preskill code. We show that CV quantum computation has a fault-tolerant threshold against general Markovian-type noise, closing the existing crucial gap in CV quantum computation.
• Score: 1.433758865948252
• License:
• Abstract: The quantum error-correcting code in the continuous-variable (CV) system attracts much attention due to its flexibility and high resistance against specific noise. However, the theory of fault tolerance in CV systems is premature and lacks the general strategy to translate the noise in CV systems into the noise in logical qubits, leading to severe restrictions on the correctable noise models. In this paper, we show that the Markovian-type noise in CV systems is translated into the Markovian-type noise in the logical qubits through the Gottesman-Kitaev-Preskill code with an explicit bound on the noise strength. Combined with the established threshold theorem of the concatenated code against Markovian-type noise, we show that CV quantum computation has a fault-tolerant threshold against general Markovian-type noise, closing the existing crucial gap in CV quantum computation. We also give a new insight into the fact that careful management of the energy of the state is required to achieve fault tolerance in the CV system.

Related papers

• Near-optimal decoding algorithm for color codes using Population Annealing [44.99833362998488]
  We implement a decoder that finds the recovery operation with the highest success probability. We study the decoder performance on a 4.8.8 color code lattice under different noise models.
  arXiv  Detail & Related papers  (2024-05-06T18:17:42Z)
• 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)
• Deep Quantum Error Correction [73.54643419792453]
  Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. In this work, we efficiently train novel emphend-to-end deep quantum error decoders. The proposed method demonstrates the power of neural decoders for QECC by achieving state-of-the-art accuracy.
  arXiv  Detail & Related papers  (2023-01-27T08:16:26Z)
• Mitigating Memorization of Noisy Labels by Clipping the Model Prediction [43.11056374542014]
  Cross Entropy (CE) loss has been shown to be not robust to noisy labels due to its unboundedness. We propose LogitClip, which clamps the norm of the logit vector to ensure that it is upper bounded by a constant.
  arXiv  Detail & Related papers  (2022-12-08T03:35:42Z)
• Fault-tolerant Coding for Entanglement-Assisted Communication [46.0607942851373]
  This paper studies the study of fault-tolerant channel coding for quantum channels. We use techniques from fault-tolerant quantum computing to establish coding theorems for sending classical and quantum information in this scenario. We extend these methods to the case of entanglement-assisted communication, in particular proving that the fault-tolerant capacity approaches the usual capacity when the gate error approaches zero.
  arXiv  Detail & Related papers  (2022-10-06T14:09:16Z)
• Evaluating the Resilience of Variational Quantum Algorithms to Leakage Noise [6.467585493563487]
  Leakage noise is a damaging source of error that error correction approaches cannot handle. The impact of this noise on the performance of variational quantum algorithms (VQAs) is yet unknown.
  arXiv  Detail & Related papers  (2022-08-10T14:50:14Z)
• Achieving fault tolerance against amplitude-damping noise [1.7289359743609742]
  We develop a protocol for fault-tolerant encoded quantum computing components in the presence of amplitude-damping noise. We describe a universal set of fault-tolerant encoded gadgets and compute the pseudothreshold for the noise. Our work demonstrates the possibility of applying the ideas of quantum fault tolerance to targeted noise models.
  arXiv  Detail & Related papers  (2021-07-12T14:59:54Z)
• Universal noise-precision relations in variational quantum algorithms [0.6946929968559495]
  Variational quantum algorithms (VQAs) are expected to become a practical application of near-term noisy quantum computers. We propose analytic estimations of the error in the cost function of VQAs due to the noise. We show how the Hessian of the cost function, the spectrum of the target operator, and the geometry of the ansatz affect the sensitivity to the noise.
  arXiv  Detail & Related papers  (2021-06-07T07:37:54Z)
• Continuous-variable error correction for general Gaussian noises [5.372221197181905]
  We develop a theory framework to enable the efficient calculation of the noise standard deviation after the error correction. Our code provides the optimal scaling of the residue noise standard deviation with the number of modes.
  arXiv  Detail & Related papers  (2021-01-06T23:28:01Z)
• 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)
• Machine learning aided carrier recovery in continuous-variable quantum key distribution [0.6999740786886537]
  Experimental results over a 20 km fibre-optic link indicate that the unscented Kalman filter (UKF) can ensure very low excess noise even at low pilot powers. This may enable CV-QKD systems with low implementation complexity which can seamlessly work on diverse transmission lines.
  arXiv  Detail & Related papers  (2020-02-21T14:21:48Z)

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.