Unextendible entanglement of quantum channels

• URL: http://arxiv.org/abs/2407.15944v1
• Date: Mon, 22 Jul 2024 18:00:17 GMT
• Title: Unextendible entanglement of quantum channels
• Authors: Vishal Singh, Mark M. Wilde,
• Abstract summary: We study the ability of quantum channels to perform quantum communication tasks. A quantum channel can distill a highly entangled state between two parties. We generalize the formalism of $k$-extendibility to bipartite superchannels.
• Score: 4.079147243688764
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum communication relies on the existence of high quality quantum channels to exchange information. In practice, however, all communication links are affected by noise from the environment. Here we investigate the ability of quantum channels to perform quantum communication tasks by restricting the participants to use only local operations and one-way classical communication (one-way LOCC) along with the available quantum channel. In particular, a channel can be used to distill a highly entangled state between two parties, which further enables quantum or private communication. In this work, we invoke the framework of superchannels to study the distillation of a resourceful quantum state, such as a maximally entangled state or a private state, using multiple instances of a point-to-point quantum channel. We use the idea of $k$-extendibility to obtain a semidefinite relaxation of the set of one-way LOCC superchannels and define a class of entanglement measures for quantum channels that decrease monotonically under such superchannels; therefore these measures, dubbed collectively the ``unextendible entanglement of a channel'', yield upper bounds on several communication-theoretic quantities of interest in the regimes of resource distillation and zero error. We then generalize the formalism of $k$-extendibility to bipartite superchannels, thus obtaining functions that are monotone under two-extendible superchannels. This allows us to analyze probabilistic distillation of ebits or secret key bits from a bipartite state when using a resourceful quantum channel. Moreover, we propose semidefinite programs to evaluate several of these quantities, providing a computationally feasible method of comparison between quantum channels for resource distillation.

Related papers

• Extendibility limits quantum-secured communication and key distillation [4.079147243688764]
  We study the task of secret-key distillation from bipartite states and point-to-point quantum channels. We extend our formalism to private communication over a quantum channel assisted by forward classical communication.
  arXiv  Detail & Related papers  (2024-10-28T18:00:11Z)
• The multimode conditional quantum Entropy Power Inequality and the squashed entanglement of the extreme multimode bosonic Gaussian channels [53.253900735220796]
  Inequality determines the minimum conditional von Neumann entropy of the output of the most general linear mixing of bosonic quantum modes. Bosonic quantum systems constitute the mathematical model for the electromagnetic radiation in the quantum regime.
  arXiv  Detail & Related papers  (2024-10-18T13:59:50Z)
• Distributed Quantum Computation via Entanglement Forging and Teleportation [13.135604356093193]
  Distributed quantum computation is a practical method for large-scale quantum computation on quantum processors with limited size. In this paper, we demonstrate the methods to implement a nonlocal quantum circuit on two quantum processors without any quantum correlations.
  arXiv  Detail & Related papers  (2024-09-04T08:10:40Z)
• Noise is resource-contextual in quantum communication [1.8749305679160366]
  Estimating the information transmission capability of a quantum channel remains one of the fundamental problems in quantum information processing. One of the most significant manifestations of this is the superadditivity of the channel capacity. Our constructions demonstrate that noise is context dependent in quantum communication.
  arXiv  Detail & Related papers  (2023-05-01T06:24:03Z)
• Correlation measures of a quantum state and information characteristics of a quantum channel [0.0]
  We discuss the interconnections between basic correlation measures of a bipartite quantum state and basic information characteristics of a quantum channel. We describe properties of the (unoptimized and optimized) quantum discord in infinite bipartite systems.
  arXiv  Detail & Related papers  (2023-04-11T17:58:13Z)
• Exact solution for the quantum and private capacities of bosonic dephasing channels [10.787390511207686]
  We provide the first exact calculation of the quantum, private, two-way assisted quantum, and secret-key capacities of bosonic dephasing channels.
  arXiv  Detail & Related papers  (2022-05-11T19:12:12Z)
• Quantum Semantic Communications for Resource-Efficient Quantum Networking [52.3355619190963]
  This letter proposes a novel quantum semantic communications (QSC) framework exploiting advancements in quantum machine learning and quantum semantic representations. The proposed framework achieves approximately 50-75% reduction in quantum communication resources needed, while achieving a higher quantum semantic fidelity.
  arXiv  Detail & Related papers  (2022-05-05T03:49:19Z)
• Entanglement catalysis for quantum states and noisy channels [41.94295877935867]
  We investigate properties of entanglement and its role for quantum communication. For transformations between bipartite pure states, we prove the existence of a universal catalyst. We further develop methods to estimate the number of singlets which can be established via a noisy quantum channel.
  arXiv  Detail & Related papers  (2022-02-10T18:36:25Z)
• Creating and destroying coherence with quantum channels [62.997667081978825]
  We study optimal ways to create a large amount of quantum coherence via quantum channels. correlations in multipartite systems do not enhance the ability of a quantum channel to create coherence. We show that a channel can destroy more coherence when acting on a subsystem of a bipartite state.
  arXiv  Detail & Related papers  (2021-05-25T16:44:13Z)
• Direct Quantum Communications in the Presence of Realistic Noisy Entanglement [69.25543534545538]
  We propose a novel quantum communication scheme relying on realistic noisy pre-shared entanglement. Our performance analysis shows that the proposed scheme offers competitive QBER, yield, and goodput.
  arXiv  Detail & Related papers  (2020-12-22T13:06:12Z)
• Fault-tolerant Coding for Quantum Communication [71.206200318454]
  encode and decode circuits to reliably send messages over many uses of a noisy channel. For every quantum channel $T$ and every $eps>0$ there exists a threshold $p(epsilon,T)$ for the gate error probability below which rates larger than $C-epsilon$ are fault-tolerantly achievable. Our results are relevant in communication over large distances, and also on-chip, where distant parts of a quantum computer might need to communicate under higher levels of noise.
  arXiv  Detail & Related papers  (2020-09-15T15:10:50Z)

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.