Related papers: Pauli component erasing quantum channels

Pauli component erasing quantum channels

URL: http://arxiv.org/abs/2205.05808v2
Date: Fri, 14 Oct 2022 23:32:34 GMT
Title: Pauli component erasing quantum channels
Authors: Jose Alfredo de Leon, Alejandro Fonseca, Francois Leyvraz, David Davalos and Carlos Pineda
Abstract summary: We propose a family of quantum maps that preserve or completely erase the components of a multi-qubit system. For the corresponding channels, it is shown that the preserved components can be interpreted as a finite vector subspace. We show that the obtained family of channels forms a semigroup and derive its generators.
Score: 58.720142291102135
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Decoherence of quantum systems is described by quantum channels. However, a complete understanding of such channels, especially in the multi-particle setting, is still an ongoing difficult task. We propose the family of quantum maps that preserve or completely erase the components of a multi-qubit system in the basis of Pauli strings, which we call Pauli component erasing maps. For the corresponding channels, it is shown that the preserved components can be interpreted as a finite vector subspace, from which we derive several properties and complete the characterization. Moreover, we show that the obtained family of channels forms a semigroup and derive its generators. We use this simple structure to determine physical implementations and connect the obtained family of channels with Markovian processes.

Related papers

Quantum channels, complex Stiefel manifolds, and optimization [45.9982965995401]
We establish a continuity relation between the topological space of quantum channels and the quotient of the complex Stiefel manifold. The established relation can be applied to various quantum optimization problems.
arXiv Detail & Related papers (2024-08-19T09:15:54Z)
Guarantees on the structure of experimental quantum networks [105.13377158844727]
Quantum networks connect and supply a large number of nodes with multi-party quantum resources for secure communication, networked quantum computing and distributed sensing. As these networks grow in size, certification tools will be required to answer questions regarding their properties. We demonstrate a general method to guarantee that certain correlations cannot be generated in a given quantum network.
arXiv Detail & Related papers (2024-03-04T19:00:00Z)
Weyl channels for multipartite systems [42.37986459997699]
Quantum channels describe unitary and non-unitary evolution of quantum systems. We show that these channels are completely characterized by elements drawn of finite cyclic groups.
arXiv Detail & Related papers (2023-10-17T02:45:47Z)
Concrete Quantum Channels and Algebraic Structure of Abstract Quantum Channels [0.0]
An attempt is made to identify generalized invertible channels and also the idempotent channels. The motivation behind this study is its applicability to the reversibility of channel transformations. This is related to the coding-encoding problem in quantum information theory.
arXiv Detail & Related papers (2023-05-19T06:45:41Z)
Quantum Network Tomography with Multi-party State Distribution [10.52717496410392]
characterization of quantum channels in a quantum network is of paramount importance. We introduce the problem of Quantum Network Tomography. We study this problem in detail for the case of arbitrary star quantum networks with quantum channels described by a single Pauli operator.
arXiv Detail & Related papers (2022-06-06T21:47:09Z)
Genuinely Multipartite Entanglement vias Shallow Quantum Circuits [0.0]
We prove any genuinely multipartite entanglement on finite-dimensional spaces can be generated by using 2-layer shallow quantum circuit. We propose a semi-device-independent entanglement model depending on the local connection ability. Results show new insights for the multipartite entanglement, quantum network, and measurement-based quantum computation.
arXiv Detail & Related papers (2022-04-20T07:41:30Z)
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)
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)

This list is automatically generated from the titles and abstracts of the papers in this site.