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In quantum communication, quantum state transfer from one location to another in a quantum network plays a prominent role, where the impact of noise could be crucial. The idea of state transfer can be fruitfully associated with quantum walk…

量子物理 · 物理学 2025-12-04 Monika Rani , Supriyo Dutta , Subhashish Banerjee

Quantum state transfer is the act of transferring quantum information from one system in a quantum network to another without physically transporting carriers of quantum information, but instead engineering a Hamiltonian such that the state…

量子物理 · 物理学 2025-01-31 Markku Hahto , Jyrki Piilo , Johannes Nokkala

We consider a quantum walk with two marked vertices, sender and receiver, and analyze its application to perfect state transfer on complete bipartite graphs. First, the situation with both the sender and the receiver vertex in the same part…

量子物理 · 物理学 2018-07-26 Martin Stefanak , Stanislav Skoupy

We study the existence of quantum state transfer on non-integral circulant graphs. We find that continuous time quantum walks on quantum networks based on certain circulant graphs with $2^k$ $\left(k\in\mathbb{Z}\right)$ vertices exhibit…

组合数学 · 数学 2019-01-09 Hiranmoy Pal

This paper discusses continuous-time quantum walks and asymptotic state transfer in graphs with an involution. By providing quantitative bounds on the eigenvectors of the Hamiltonian, it provides an approach to achieving high-fidelity state…

量子物理 · 物理学 2023-10-16 Gabor Lippner , Yujia Shi

We show a perfect state transfer of an arbitrary unknown two-qubit state can be achieved via a discrete-time quantum walk with various settings of coin flippings, and extend this method to distribution of an arbitrary unknown multi-qubit…

量子物理 · 物理学 2014-07-23 Xiang Zhan , Hao Qin , Zhi-hao Bian , Jian Li , Peng Xue

Previously it was shown that (almost) perfect state transfer can be achieved on the complete bipartite graph by a discrete-time coined quantum walk based algorithm when both the sender and receiver vertices are in the same partition of the…

量子物理 · 物理学 2022-03-09 R. A. M. Santos

Quantum state transfer between different sites is a significant problem for quantum networks and quantum computers. By selecting quantum walks with two coins as the basic model and two coin spaces as the communication carriers, we…

量子物理 · 物理学 2019-12-13 Yun Shang , Meng Li

We study a transport phenomenon in certain coined quantum walks where a subspace of states localized at a vertex gets transferred to another vertex. We first develop characterizations for perfect and pretty good subspace state transfer…

组合数学 · 数学 2025-12-01 Yichi Xu , Hanmeng Zhan

Quantum walks are a well-established model for the study of coherent transport phenomena and provide a universal platform in quantum information theory. Dynamically influencing the walker's evolution gives a high degree of flexibility for…

Robust quantum routing is essential for scalable quantum technologies. This paper investigates the resilience of routing protocols in network architectures designed for perfect, high-fidelity transfer of both classical and quantum…

We introduce and study peak state transfer, a notion of high state transfer in qubit networks modeled by continuous-time quantum walks. Unlike perfect or pretty good state transfer, peak state transfer does not require fidelity arbitrarily…

量子物理 · 物理学 2025-10-02 Gabriel Coutinho , Krystal Guo , Vincent Schmeits

We model the transport of an unknown quantum state on one dimensional qubit lattices by means of a quantum cellular automata evolution. We do this by first introducing a class of discrete noisy dynamics, in the first excitation sector, in…

量子物理 · 物理学 2015-06-23 Michele Avalle , Marco G. Genoni , Alessio Serafini

A fundamental problem in Quantum Information Processing is the discrimination amongst a set of quantum states of a system. In this paper, we address this problem on an open quantum system described by a graph, whose evolution is defined by…

量子物理 · 物理学 2020-10-07 Nicola Dalla Pozza , Filippo Caruso

A continuous-time quantum random walk describes the motion of a quantum mechanical particle on an underlying graph. The graph itself is associated with a Hilbert space of dimension equal to the number of vertices. The dynamics of the walk…

量子物理 · 物理学 2021-09-28 Jaideep Mulherkar , Rishikant Rajdeepak , V. Sunitha

In a continuous-time quantum walk on a network of qubits, pretty good state transfer is the phenomenon of state transfer between two vertices with fidelity arbitrarily close to 1. We construct families of graphs to demonstrate that there is…

组合数学 · 数学 2023-05-24 Ada Chan , Peter Sin

The concept of quantum teleportation is fundamental in the theory of quantum communication. Developing models of quantum teleportation in different physical scenario is a modern trend of research in this direction. This work is at the…

量子物理 · 物理学 2024-09-10 Souvik Giri , Supriyo Dutta

Perfect state transfer between two marked vertices of a graph by means of discrete-time quantum walk is analyzed. We consider the quantum walk search algorithm with two marked vertices, sender and receiver. It is shown by explicit…

量子物理 · 物理学 2016-08-02 Martin Stefanak , Stanislav Skoupy

Quantum walks, an important tool in quantum computing, have been very successfully investigated using techniques in algebraic graph theory. We are motivated by the study of state transfer in continuous-time quantum walks, which is…

组合数学 · 数学 2017-10-09 Chris Godsil , Krystal Guo , Mark Kempton , Gabor Lippner

High-dimensional quantum systems can offer extended possibilities and multiple advantages while developing advanced quantum technologies. In this paper, we propose a class of quantum-walk architecture networks that admit the efficient…

量子物理 · 物理学 2021-08-12 Hengji Li , Jian Li , Xiubo Chen
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