Notes on Bell states and quantum teleportation

• URL: http://arxiv.org/abs/2602.11218v1
• Date: Wed, 11 Feb 2026 09:47:34 GMT
• Title: Notes on Bell states and quantum teleportation
• Authors: Yong Zhang, Wei Zeng, Ming Lian,
• Abstract summary: Bell states and quantum teleportation play important roles in the study of quantum information and computation.<n>This work aims to investigate important algebraic properties of generalized Bell states as well as explore topological features of quantum teleportation.
• Score: 7.031150803377215
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Bell states and quantum teleportation play important roles in the study of quantum information and computation. But a comprehensive theoretical research on both of them remains to be performed. This work aims to investigate important algebraic properties of generalized Bell states as well as explore topological features of quantum teleportation. First, the basis theorem and basis group are introduced to explain that the extension of a generalized Bell basis by a unitary matrix is still an orthonormal basis. Then a twist operator is defined to make a connection between a generalized multiple qubit Bell state and a tensor product of two qubit Bell state. Besides them, the Temperley--Lieb algebra, the braid group relation and the Yang--Baxter equation are used to provide a topological diagrammatic description of generalized Bell states and quantum teleportation. It turns out that our approach is able to present a clear illustration of relevant quantum information protocols and exhibit a topological nature of quantum entanglement and quantum teleportation.

Related papers

• An explicit tensor notation for quantum computing [0.0]
  This paper introduces a formalism that aims to describe the intricacies of quantum computation. The focus is on providing a comprehensive representation of quantum states for multiple qubits and the quantum gates that manipulate them.
  arXiv  Detail & Related papers  (2024-09-16T17:21:17Z)
• Chiral Bell-state transfer via dissipative Liouvillian dynamics [10.66389042594859]
  Chiral state transfer along closed loops in the vicinity of an exceptional point is one of the many counter-intuitive observations in non-Hermitian physics. We demonstrate chiral state conversion between singlet and triplet Bell states through fully-quantum Liouvillian dynamics. We show that the removal of quantum jumps from the dynamics through postselection can result in near-perfect Bell states from initially separable states.
  arXiv  Detail & Related papers  (2023-10-17T16:24:41Z)
• (Almost-)Quantum Bell Inequalities and Device-Independent Applications [3.7482527016282963]
  We present families of (almost)quantum Bell inequalities and highlight three foundational and DI applications. We derive quantum Bell inequalities that show a separation of the quantum boundary from certain portions of the no-signaling boundary of dimension up to 4k-8. We provide the most precise characterization of the quantum boundary known so far.
  arXiv  Detail & Related papers  (2023-09-12T15:13:02Z)
• No-signalling constrains quantum computation with indefinite causal structure [45.279573215172285]
  We develop a formalism for quantum computation with indefinite causal structures. We characterize the computational structure of higher order quantum maps. We prove that these rules, which have a computational and information-theoretic nature, are determined by the more physical notion of the signalling relations between the quantum systems.
  arXiv  Detail & Related papers  (2022-02-21T13:43:50Z)
• Quantum teleportation using Ising anyons [11.59961756146332]
  We propose a general topologically protected protocol for quantum teleportation based on the Ising anyon model. Our protocol naturally generalizes quantum state teleportation from systems of locally distinguishable particles to systems of Ising anyons.
  arXiv  Detail & Related papers  (2022-01-28T04:06:20Z)
• A Mechanical Implementation and Diagrammatic Calculation of Entangled Basis States [0.0]
  We give for the first time a diagrammatic calculational tool of quantum entanglement. When two or more particles are correlated in a certain way, no matter how far apart they are in space, their states remain correlated. Our results seem to advocate the idea that quantum entanglement generates the extra dimensions of the gravitational theory.
  arXiv  Detail & Related papers  (2021-12-20T00:31:48Z)
• Quantum coherence with incomplete set of pointers and corresponding wave-particle duality [0.0]
  Quantum coherence quantifies the amount of superposition in a quantum system. We develop the corresponding resource theory, identifying the free states and operations. We obtain a complementarity relation between the so-defined quantum coherence and the which-path information in an interferometric set-up.
  arXiv  Detail & Related papers  (2021-08-12T16:55:40Z)
• A Theoretical Framework for Learning from Quantum Data [15.828697880068704]
  We propose a theoretical foundation for learning classical patterns from quantum data. We present a quantum counterpart of the well-known PAC framework. We establish upper bounds on the quantum sample complexity quantum concept classes.
  arXiv  Detail & Related papers  (2021-07-13T21:39:47Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• Quantum Bell Nonlocality is Entanglement [10.628932392896374]
  Bell nonlocality describes a manifestation of quantum mechanics that cannot be explained by any local hidden variable model. We develop a dynamical framework in which quantum Bell nonlocality emerges as special form of entanglement.
  arXiv  Detail & Related papers  (2020-12-12T23:02:06Z)
• The Quantum Wasserstein Distance of Order 1 [16.029406401970167]
  We propose a generalization of the Wasserstein distance of order 1 to the quantum states of $n$ qudits. The proposed distance is invariant with respect to permutations of the qudits and unitary operations acting on one qudit. We also propose a generalization of the Lipschitz constant to quantum observables.
  arXiv  Detail & Related papers  (2020-09-09T18:00:01Z)
• Cost of quantum entanglement simplified [13.683637401785505]
  We introduce an entanglement measure that has a precise information-theoretic meaning as the exact cost required to prepare an entangled state. Our results bring key insights into the fundamental entanglement structure of arbitrary quantum states, and they can be used directly to assess and quantify the entanglement produced in quantum-physical experiments.
  arXiv  Detail & Related papers  (2020-07-28T14:36:23Z)
• Fundamentals of Quantum Mechanics in Liouville Space [0.0]
  This paper articulates a coherent and easy-to-understand way of doing quantum mechanics in any finite-dimensional Liouville space. One of the greater strengths of the formalism expatiated on here is the striking similarities it bears with Dirac's bra-ket notation. For the purpose of illustrating how the formalism can be effectively employed, we use it to solve a quantum optical master equation for a two-level quantum system.
  arXiv  Detail & Related papers  (2020-03-25T16:08:46Z)

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.