Entanglement Fidelity in Standard Quantum Channels

• URL: http://arxiv.org/abs/2603.07761v1
• Date: Sun, 08 Mar 2026 18:50:15 GMT
• Title: Entanglement Fidelity in Standard Quantum Channels
• Abstract summary: Entanglement fidelity quantifies how well a quantum channel preserves the correlations between a transmitted system and an inaccessible reference system.<n>We derive closed-form expressions for the entanglement fidelity associated with several standard quantum noise models.
• Score: 7.792020418343022
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement fidelity quantifies how well a quantum channel preserves the correlations between a transmitted system and an inaccessible reference system. We derive closed-form expressions for the entanglement fidelity associated with several standard quantum noise models, including the random Pauli-X, dephasing, depolarizing, Werner-Holevo, generalized Pauli (Weyl), and amplitude-damping channels. For each model, we express the entanglement fidelity in terms of a general input density operator $ρ$, using Schumacher's Kraus-operator approach, which provides a channel-agnostic recipe applicable to any completely positive trace-preserving (CPTP) map with a finite Kraus representation. We then specialize to a communication scenario in which the source emits a two-letter parametric alphabet, thereby making explicit the dependence of entanglement preservation on both channel and source parameters. The resulting expressions enable direct comparisons of channel performance and rankings for representative families of input states, including common qubit states.

Related papers

• Quantum Key Distribution Without Shared Reference Frame Under Unital Noise [42.7789646649633]
  We consider a general and practical scenario of quantum key distribution (QKD) over an unknown, stationary, unital qubit channel.<n>We propose two methods to overcome the physical qubit noise and the lack of shared reference frame.
  arXiv  Detail & Related papers  (2026-06-22T12:24:11Z)
• Design and Optimization of Adaptive Diversity Schemes in Quantum MIMO Channels [45.812053169933705]
  We study an adaptive diversity strategy for discrete-variable QuMIMO systems based on universal asymmetric cloning at the transmitter and probabilistic purification at the receiver.<n>Results show that the proposed scheme yields significant fidelity gains in crosstalk-dominated settings and automatically adapts to channel symmetry and channel conditions.<n>This work provides design guidelines for future QuMIMO systems and establishes a robust baseline for more advanced transmission and decoding strategies.
  arXiv  Detail & Related papers  (2025-11-19T15:58:10Z)
• Improving quantum communication rates with permutation-invariant codes [6.107978190324034]
  We improve the quantum communication rates of various quantum channels of interest using permutation-invariant quantum codes.<n>For each channel family we obtain improved lower bounds on their quantum capacities.
  arXiv  Detail & Related papers  (2025-08-13T17:47:51Z)
• Data Transmission over a Bosonic Arbitrarily Varying Quantum Channel [1.534667887016089]
  We give an explicit capacity formula for the lossy bosonic channel subject to semi-classical attacks.<n>We show how a recently conjectured new quantum entropy power relates to our capacity formula.
  arXiv  Detail & Related papers  (2025-07-24T10:01:16Z)
• Optimizing entanglement distribution via noisy quantum channels [44.99833362998488]
  Entanglement distribution is a crucial problem in quantum information science.<n>We investigate strategies for distributing quantum entanglement between two distant parties through noisy quantum channels.
  arXiv  Detail & Related papers  (2025-06-06T13:48:20Z)
• Efficiently Computable Limits on EPR Pair Generation in Quantum Broadcast Channels [3.637365301757111]
  We investigate the generation of EPR pairs between three observers in a general causally structured setting.<n>The most general quantum codes for this setup take the form of tripartite quantum channels.
  arXiv  Detail & Related papers  (2025-05-12T04:15:21Z)
• Learning Orthogonal Random Unitary Channels with Contracted Quantum Approaches and Simplex Optimization [41.94295877935867]
  We present a procedure for learning a class of random unitary channels on a quantum computer.<n>Our approach involves a multi-objective, Pauli- and unitary-based minimization, and allows for learning locally equivalent channels.
  arXiv  Detail & Related papers  (2025-01-28T19:02:52Z)
• Resolvability of classical-quantum channels [54.825573549226924]
  We study the resolvability of classical-quantum channels in two settings, for the channel output generated from the worst input, and form the fixed independent and identically distributed (i.i.d.) input. For the fixed-input setting, while the direct part follows from the known quantum soft covering result, we exploit the recent alternative quantum Sanov theorem to solve the strong converse.
  arXiv  Detail & Related papers  (2024-10-22T05:18:43Z)
• Normal quantum channels and Markovian correlated two-qubit quantum errors [77.34726150561087]
  We study general normally'' distributed random unitary transformations. On the one hand, a normal distribution induces a unital quantum channel. On the other hand, the diffusive random walk defines a unital quantum process.
  arXiv  Detail & Related papers  (2023-07-25T15:33:28Z)
• Coherent control and distinguishability of quantum channels via PBS-diagrams [59.94347858883343]
  We introduce a graphical language for coherent control of general quantum channels inspired by practical quantum optical setups involving polarising beam splitters (PBS) We characterise the observational equivalence of purified channels in various coherent-control contexts, paving the way towards a faithful representation of quantum channels under coherent control.
  arXiv  Detail & Related papers  (2021-03-02T22:56:25Z)
• Explicit construction of optimal witnesses for input-output correlations attainable by quantum channels [3.441021278275805]
  We consider the problem of characterizing the set of classical noisy channels that can be obtained from a quantum channel. We consider various classes of linear witnesses and compute their optimum values in closed form for several classes of quantum channels. The witnesses that we consider here are formulated as communication games, in which Alice's aim is to exploit a single use of a given quantum channel to help Bob guess some information she has received from an external referee.
  arXiv  Detail & Related papers  (2020-09-02T07:34:23Z)

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.