Probabilistic amplitude shaping for continuous-variable quantum key distribution with discrete modulation over a wiretap channel

• URL: http://arxiv.org/abs/2211.05688v2
• Date: Tue, 18 Jul 2023 19:22:02 GMT
• Title: Probabilistic amplitude shaping for continuous-variable quantum key distribution with discrete modulation over a wiretap channel
• Authors: Michele N. Notarnicola, Stefano Olivares, Enrico Forestieri, Emanuele Parente, Luca Pot\`i, Marco Secondini
• Abstract summary: We show that a suitable probabilistic amplitude shaping of a finite set of symbols allows to approximate at will the optimal channel capacity. We propose a protocol employing discrete quadrature amplitude modulation assisted with probabilistic amplitude shaping.
• Score: 0.7829352305480285
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: To achieve the maximum information transfer and face a possible eavesdropper, the samples transmitted in continuous-variable quantum key distribution (CV-QKD) protocols are to be drawn from a continuous Gaussian distribution. As a matter of fact, in practical implementations the transmitter has a finite (power) dynamics and the Gaussian sampling can be only approximated. This requires the quantum protocols to operate at small powers. In this paper, we show that a suitable probabilistic amplitude shaping of a finite set of symbols allows to approximate at will the optimal channel capacity also for increasing average powers. We investigate the feasibility of this approach in the framework of CV-QKD, propose a protocol employing discrete quadrature amplitude modulation assisted with probabilistic amplitude shaping, and we perform the key generation rate analysis assuming a wiretap channel and lossless homodyne detection.

Related papers

• Adaptive Annealed Importance Sampling with Constant Rate Progress [68.8204255655161]
  Annealed Importance Sampling (AIS) synthesizes weighted samples from an intractable distribution. We propose the Constant Rate AIS algorithm and its efficient implementation for $alpha$-divergences.
  arXiv  Detail & Related papers  (2023-06-27T08:15:28Z)
• Optimizing state-discrimination receivers for continuous-variable quantum key distribution over a wiretap channel [1.3108652488669736]
  We address a continuous-variable quantum key distribution protocol employing quaternary phase-shift-keying (QPSK) of coherent states. We consider a pure-loss quantum wiretap channel, in which a possible eavesdropper is limited to collect the sole channel losses.
  arXiv  Detail & Related papers  (2023-06-20T12:26:06Z)
• 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)
• 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)
• Long-distance distribution of qubit-qubit entanglement using Gaussian-correlated photonic beams [0.0]
  We investigate the deterministic generation and distribution of entanglement in large quantum networks by driving distant qubits with the output fields of a non-degenerate parametric amplifier. Our findings show that this passive conversion of Gaussian- into discrete- variable entanglement offers a robust and experimentally very attractive approach for operating large optical, microwave or hybrid quantum networks.
  arXiv  Detail & Related papers  (2022-04-06T18:00:01Z)
• Protocols for Trainable and Differentiable Quantum Generative Modelling [21.24186888129542]
  We propose an approach for learning probability distributions as differentiable quantum circuits (DQC) We perform training of a DQC-based model, where data is encoded in a latent space with a phase feature map, followed by a variational quantum circuit. This allows fast sampling from parametrized distributions using a single-shot readout.
  arXiv  Detail & Related papers  (2022-02-16T18:55:48Z)
• Bosonic field digitization for quantum computers [62.997667081978825]
  We address the representation of lattice bosonic fields in a discretized field amplitude basis. We develop methods to predict error scaling and present efficient qubit implementation strategies.
  arXiv  Detail & Related papers  (2021-08-24T15:30:04Z)
• Composably secure data processing for Gaussian-modulated continuous variable quantum key distribution [58.720142291102135]
  Continuous-variable quantum key distribution (QKD) employs the quadratures of a bosonic mode to establish a secret key between two remote parties. We consider a protocol with homodyne detection in the general setting of composable finite-size security. In particular, we analyze the high signal-to-noise regime which requires the use of high-rate (non-binary) low-density parity check codes.
  arXiv  Detail & Related papers  (2021-03-30T18:02:55Z)
• Sampling in Combinatorial Spaces with SurVAE Flow Augmented MCMC [83.48593305367523]
  Hybrid Monte Carlo is a powerful Markov Chain Monte Carlo method for sampling from complex continuous distributions. We introduce a new approach based on augmenting Monte Carlo methods with SurVAE Flows to sample from discrete distributions. We demonstrate the efficacy of our algorithm on a range of examples from statistics, computational physics and machine learning, and observe improvements compared to alternative algorithms.
  arXiv  Detail & Related papers  (2021-02-04T02:21:08Z)
• Trusted detector noise analysis for discrete modulation schemes of continuous-variable quantum key distribution [4.977851927269835]
  Discrete-modulated continuous-variable quantum key distribution protocols are promising candidates for large-scale deployment. We calculate key rates against collective attacks in the trusted detector noise scenario. Our results show that we can thus cut out most of the effect of detector noise and obtain key rates similar to those had we access to ideal detectors.
  arXiv  Detail & Related papers  (2020-06-11T03:11:36Z)

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.