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Related papers: State transfers in vertex complemented coronas

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Complementarity have been an intriguing feature of physical systems for a long time. In this work we establish a new kind of complimentary relations in the frame work of quantum information processing tasks. In broadcasting of entanglement…

Quantum Physics · Physics 2016-08-03 Jaya Chaubey , Sourav Chatterjee , Indranil Chakrabarty

We show that using a slightly modified XX model for a spin-1/2 chain, one can transmit almost perfectly a maximally entangled two-qubit state from one end of the chain to the other one. This is accomplished without external fields or…

Quantum Physics · Physics 2018-08-06 Rafael Vieira , Gustavo Rigolin

The natural notion of almost perfect state transfer (APST) is examined. It is applied to the modelling of efficient quantum wires with the help of $XX$ spin chains. It is shown that APST occurs in mirror-symmetric systems, when the…

Quantum Physics · Physics 2015-06-05 Luc Vinet , Alexei Zhedanov

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…

Quantum Physics · Physics 2022-03-09 R. A. M. Santos

We analyze the transition into the most favorable ordered state for a system of 2D fermions with spin and valley degrees of freedom. We show that for a range of rotationally invariant dispersions, the ordering transition is highly…

Strongly Correlated Electrons · Physics 2024-06-10 Zachary M. Raines , Leonid I. Glazman , Andrey V. Chubukov

We propose a class of qubit networks that admit perfect state transfer of any two-dimensional quantum state in a fixed period of time. We further show that such networks can distribute arbitrary entangled states between two distant parties,…

We describe new constructions of graphs which exhibit perfect state transfer on continuous-time quantum walks. Our constructions are based on variants of the double cones [BCMS09,ANOPRT10,ANOPRT09] and the Cartesian graph products (which…

Quantum Physics · Physics 2011-08-02 Yang Ge , Benjamin Greenberg , Oscar Perez , Christino Tamon

Complementary correlations can reveal the genuine quantum correlations present in a composite quantum system. Here we investigate the relation between complementary correlations and other aspects of genuine quantum correlations. We show…

Quantum Physics · Physics 2015-03-12 Prasenjit Deb

We study perfect state transfer in Grover walks on two important classes of graphs: strongly regular graphs and strongly walk-regular graphs. The latter class is a generalization of the former. We first give a complete classification of…

Combinatorics · Mathematics 2026-02-04 Sho Kubota , Hiroto Sekido , Harunobu Yata , Kiyoto Yoshino

We examine the perfect cloning of non-local, orthogonal states with only local operations and classical communication. We provide a complete characterisation of the states that can be cloned under these restrictions, and their relation to…

Quantum Physics · Physics 2009-11-11 Alastair Kay , Marie Ericsson

In recent years, significant progress has been made in the field of state transfer in spin chains, with the aim of achieving perfect state transfer for quantum information processing applications. Previous research has mainly focused on…

Quantum Physics · Physics 2025-04-25 Fateh Bezaz , Chad C. Nelmes , Marta P. Estarellas , Timothy P. Spiller , Irene D'Amico

It has been asked whether there are trees other than $P_2$ and $P_3$ which can admit perfect state transfers. In this note we show that the answer is negative.

Combinatorics · Mathematics 2017-06-16 Bahman Ahmadi , Ahmad Mokhtar

In this work, we study transfer of coherence matrices along spin-1/2 chains of various length. Unlike higher order coherence matrices, 0-order coherence matrix can be perfectly transferred if its elements are properly fixed. In certain…

Quantum Physics · Physics 2022-09-05 G. A. Bochkin , E. B. Fel'dman , I. D. Lazarev , A. N. Pechen , A. I. Zenchuk

This paper concerns the problem of non-ideal state transfer along the alternating open chain of spins $s=1/2$ with XY Hamiltonian. It is found that the state transfer along the chain with even number of spins $N$ ($N=4,6,8$) may be realized…

Quantum Physics · Physics 2009-11-13 E. I. Kuznetsova , A. I. Zenchuk

We characterize perfect state transfer on real-weighted graphs of the Johnson scheme $\mathcal{J}(n,k)$. Given $\mathcal{J}(n,k)=\{A_1, A_2, \cdots, A_k\}$ and $A(X) = w_0A_0 + \cdots + w_m A_m$, we show, using classical number theory…

Combinatorics · Mathematics 2020-07-15 Luc Vinet , Hanmeng Zhan

The transfer of data is a fundamental task in information systems. Microprocessors contain dedicated data buses that transmit bits across different locations and implement sophisticated routing protocols. Transferring quantum information…

We show that deciding whether a graph admits perfect state transfer can be done in polynomial time with respect to the size of the graph on a classical computer.

Combinatorics · Mathematics 2021-12-08 Gabriel Coutinho , Chris Godsil

We present a method that implement directional, perfect state transfers within a branched spin network by exploiting quantum interferences in the time-domain. That provides a tool to isolate subsystems from a large and complex one.…

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…

Quantum Physics · Physics 2014-07-23 Xiang Zhan , Hao Qin , Zhi-hao Bian , Jian Li , Peng Xue

We study transfer of a quantum state through XX spin chains with static imperfections. We combine the two standard approaches for state transfer based on (i) modulated couplings between neighboring spins throughout the spin chain and (ii)…

Quantum Physics · Physics 2012-02-15 M. Bruderer , K. Franke , S. Ragg , W. Belzig , D. Obreschkow