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A mixed circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer (PST for short) and multiple state…

组合数学 · 数学 2022-10-18 Xing-Kun Song , Huiqiu Lin

We prove the existence of non-trivial phase transitions for the intersection of two independent random interlacements and the complement of the intersection. Some asymptotic results about the phase curves are also obtained. Moreover, we…

概率论 · 数学 2020-10-27 Zijie Zhuang

The existence of perfect state transfer (PST) on quantum spin networks is a fundamental problem in mathematics and physics. Various works in the literature have explored PST in graphs with arithmetic origins, such as gcd-graphs over…

组合数学 · 数学 2025-04-02 Tung T. Nguyen , Nguyen Duy Tân

We investigate the quantum-state transfer on spin-chian channels with random imperfections.Through combining the advantages of two known schemes, the dual-rail spin-chain channels[9] and the particular ihhomogenous spin-chain channel[10],…

量子物理 · 物理学 2015-05-13 De-Xin Kong , An Min Wang

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.

组合数学 · 数学 2021-12-08 Gabriel Coutinho , Chris Godsil

Quantum teleportation with additional a priori information about the input state achieves higher fidelity than teleportation of a completely unknown state. However, perfect teleportation of two non-orthogonal input states requires the same…

量子物理 · 物理学 2009-10-31 L. Henderson , L. Hardy , V. Vedral

We show how to perfectly transfer, without state initialization and remote collaboration, arbitrary functions in interacting boson lattices. We describe a possible implementation of state transfer through bosonic atoms trapped in optical…

量子物理 · 物理学 2009-08-03 Lian-Ao Wu , Adam Miranowicz , XiangBin Wang , Yu-xi Liu , Franco Nori

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…

量子物理 · 物理学 2009-11-13 E. I. Kuznetsova , A. I. Zenchuk

Effective state transfer is one of the most important problems in quantum information processing. Typically, a quantum information device is composed of many subsystems with multi-input ports. In this paper, we develop a general theory…

量子物理 · 物理学 2016-08-23 Naoki Yamamoto , Hendra I. Nurdin , Matthew R. James

Recently it has been argued that all presently performed continuous variable quantum teleportation experiments could be explained using a local hidden variable theory. In this paper we study a modification of the original protocol which…

量子物理 · 物理学 2007-08-04 Aurel Gabris , Girish S. Agarwal

We report an experimental realization of both optimal asymmetric cloning and telecloning of single photons by making use of partial teleportation of an unknown state. In the experiment, we demonstrate that, conditioned on the success of…

量子物理 · 物理学 2009-11-10 Zhi Zhao , An-Ning Zhang , Xiao-Qi Zhou , Yu-Ao Chen , Chao-Yang Lu , Anders Karlsson , Jian-Wei Pan

We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements than the class of measurements allowed in quantum theory. The…

量子物理 · 物理学 2020-10-08 Hayato Arai , Yuuya Yoshida , Masahito Hayashi

We study transport through a single-level system placed between two reservoirs with band-structure, taking strong level-reservoir coupling of the order of the energy-scales of these band-structures. An exact solution in the absence of…

介观与纳米尺度物理 · 物理学 2020-03-19 Étienne Jussiau , Robert S. Whitney

Perfect state transfer (PST) has great significance due to its applications in quantum information processing and quantum computation. In this paper we present a characterization on connected simple Cayley graph $\Gamma={\rm Cay}(G,S)$…

量子物理 · 物理学 2017-12-27 Yingying Tan , Keqin Feng , Xiwang Cao

The aim of this work is studying translating graphs by mean curvature flow in $\Real^3$. We prove non-existence of complete translating graphs over bounded domains in $\Real^2$. Furthermore, we show that there are only three types of…

微分几何 · 数学 2014-06-05 Leili Shahriyari

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

The chiral topological superconductor in two dimensions has a full pairing gap in the bulk and a single chiral Majorana state at the edge. The vortex of the chiral superconducting state carries a Majorana zero mode which is responsible for…

介观与纳米尺度物理 · 物理学 2015-03-13 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

In classical information theory one can, in principle, produce a perfect copy of any input state. In quantum information theory, the no cloning theorem prohibits exact copying of nonorthogonal states. Moreover, if we wish to copy…

量子物理 · 物理学 2009-11-10 Fabio Anselmi , Anthony Chefles , Martin B. Plenio

There are a few obstacles, which bring about imperfect quantum teleportation of a continuous variable state, such as unavailability of maximally entangled two-mode squeezed states, inefficient detection and imperfect unitary transformation…

量子物理 · 物理学 2009-11-06 M. S. Kim , Jinhyoung Lee

Catalytic coherence transformations allow the otherwise impossible state transformations using only incoherent operations with the aid of an auxiliary system with finite coherence which is not being consumed in anyway. Here we find the…

量子物理 · 物理学 2016-04-21 Kaifeng Bu , Uttam Singh , Junde Wu
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