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Entanglement generation in discrete time quantum walks is deemed to be another key property beyond the transport behaviors. The latter has been widely used in investigating the localization or topology in quantum walks. However, there are…

We explore a discrete-time, coined quantum walk on a quantum network where the coherent superposition of walker-moves originates from the unitary interaction of the walker-coin with the qubit degrees of freedom in the quantum network. The…

量子物理 · 物理学 2024-06-04 Jigyen Bhavsar , Shashank Shekhar , Siddhartha Santra

The discrete-time quantum walk is a quantum counterpart of the random walk. It is expected that the model plays important roles in the quantum field. In the quantum information theory, entanglement is a key resource. We use the von Neumann…

量子物理 · 物理学 2011-09-21 Yusuke Ide , Norio Konno , Takuya Machida

In most widely discussed discrete time quantum walk model, after every unitary shift operator, the particle evolves into the superposition of position space and settles down in one of its basis states, loosing entanglement in the coin space…

量子物理 · 物理学 2007-05-23 C. M. Chandrashekar

We study one-dimensional quantum walk with four internal degrees of freedom resulted from two entangled qubits. We will demonstrate that the entanglement between the qubits and its corresponding coin operator enable one to steer the…

量子物理 · 物理学 2020-07-01 S. Panahiyan , S. Fritzsche

We present a mathematical formalism for the description of unrestricted quantum walks with entangled coins and one walker. The numerical behaviour of such walks is examined when using a Bell state as the initial coin state, two different…

量子物理 · 物理学 2009-11-10 S. E. Venegas-Andraca , J. L. Ball , K. Burnett , S. Bose

We study maximal coin-position entanglement generation via a discrete-time quantum walk, in which the coin operation is randomly selected from one of two coin operators set at each step. We solve maximal entanglement generation as an…

量子物理 · 物理学 2023-02-08 Xiao-Xu Fang , Kui An , Bai-Tao Zhang , Barry C. Sanders , He Lu

Quantum walks can be used either as tools for quantum algorithm development or as entanglement generators, potentially useful to test quantum hardware. We present a novel algorithm based on a discrete Hadamard quantum walk on a line with…

量子物理 · 物理学 2009-01-27 Salvador E. Venegas-Andraca , Sougato Bose

Using the concept of von Neumann entropy, we quantify the information content of the various components of the quantum walk system, including the mutual information between its subsystems (coin and position) and use it to give a precise…

数学物理 · 物理学 2011-10-11 Clement Ampadu

We extend the idea of a discrete-time quantum walk on a graph by placing a qubit on each vertex, and allowing the walker to interact with the qubit at its current position. We show that allowing for a controlled-Z interaction at each time…

量子物理 · 物理学 2016-08-26 Joshua Lockhart , Mauro Paternostro

The conditional shift in the evolution operator of a quantum walk generates entanglement between the coin and position degrees of freedom. This entanglement can be quantified by the von Neumann entropy of the reduced density operator…

量子物理 · 物理学 2009-11-11 G. Abal , R. Siri , A. Romanelli , R. Donangelo

The coin-position entanglement generated by the evolution operator of a discrete--time quantum walk converges, in the long time limit, to a well defined value which depends on the initial state. We also discuss the asymptotic bi-partite…

量子物理 · 物理学 2007-09-21 G. Abal , R. Donangelo , H. Fort

Quantum walks, both discrete (coined) and continuous time, form the basis of several recent quantum algorithms. Here we use numerical simulations to study the properties of discrete, coined quantum walks. We investigate the variation in the…

量子物理 · 物理学 2008-04-21 Ivens Carneiro , Meng Loo , Xibai Xu , Mathieu Girerd , Viv Kendon , Peter L. Knight

The evolution operator of a discrete-time quantum walk involves a conditional shift in position space which entangles the coin and position degrees of freedom of the walker. After several steps, the coin-position entanglement (CPE)…

量子物理 · 物理学 2015-05-13 Mostafa Annabestani , Mohammad Reza Abolhasani , Gonzalo Abal

We find out a few ways to improve the realization of entanglement between the internal (spin) and external (position) degrees of freedom of a quantum particle, through the insertion of disordered time steps along a one-dimensional discrete…

量子物理 · 物理学 2019-11-13 Alexandre C. Orthey , Edgard P. M. Amorim

The generation and control of quantum correlations in high-dimensional systems is a major challenge in the present landscape of quantum technologies. Achieving such non-classical high-dimensional resources will potentially unlock enhanced…

Entanglement is a key resource in many quantum information applications and achieving high values independently of the initial conditions is an important task. Here we address the problem of generating highly entangled states in a discrete…

量子物理 · 物理学 2020-11-25 Aikaterini Gratsea , Friederike Metz , Thomas Busch

We investigate how arbitrary number of entangled qubits affects properties of quantum walk. We consider variance, positions with non-zero probability density and entropy as criteria to determine the optimal number of entangled qubits in…

量子物理 · 物理学 2019-05-28 S. Panahiyan , S. Fritzsche

Quantum walks constitute a rich area of quantum information science, where multipartite entanglement plays a central role in the dynamics and scalability of quantum advantage over classical simulators. In this work, we study the…

量子物理 · 物理学 2026-03-27 Emil K. F. Donkersloot , René Sondenheimer , Jan Sperling

We introduce the concept of a quantum walk with two particles and study it for the case of a discrete time walk on a line. A quantum walk with more than one particle may contain entanglement, thus offering a resource unavailable in the…

量子物理 · 物理学 2007-05-23 Y. Omar , N. Paunkovic , L. Sheridan , S. Bose
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