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Photonics & Electromagnetics Research Symposium - Spring (PIERS-Spring)

Entanglement dynamics of two electrons in noisy quantum walks

Alexey A. Melnikov, Leonid Evgenevich Fedichkin

Published May 1, 2017• 5 citations
Publisher

Abstract

We study the entanglement dynamics of two electrons in a dissipative quantum walk on a cycle graph. The considered dissipation, which is inevitably induced by coupling to a measurement apparatus, can make the quantum system unreliable by breaking entanglement between two electrons. However for certain realistic parameters a distinct maximum of fermionic entanglement can be established and entanglement revival can be observed.

DOI
10.1109/piers.2017.8262249

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We study the entanglement dynamics of two electrons in a dissipative quantum walk on a cycle graph. The considered dissipation, which is inevitably induced by coupling to a measurement apparatus, can make the quantum system unreliable by breaking entanglement between two electrons. However for certain realistic parameters a distinct maximum of fermionic entanglement can be established and entanglement revival can be observed.
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Quantum walks have been employed widely to develop new tools for quantum information processing recently. A natural quantum walk dynamics of interacting particles can be used to implement efficiently the universal quantum computation. In this work quantum walks of electrons on a graph are studied. The graph is composed of semiconductor quantum dots arranged in a circle. Electrons can tunnel between adjacent dots and interact via Coulomb repulsion, which leads to entanglement. Fermionic entanglement dynamics is obtained and evaluated.
We study a continuous-time quantum walk of interacting fermions on a cycle graph. By finding analytical solutions and simulating the dynamics of two fermions we observe a diverse structure of entangled states of indistinguishable fermions. The relation between entanglement of distinguishable qutrits and indistinguishable electrons is observed. Restrictions imposed by the symmetry of a cycle graph are derived. Possible realization of a quantum walk in an array of semiconductor quantum dots is discussed.
Abstract We consider a system of two indistinguishable fermions (with four accessible states each) that suffers decoherence without dissipation due to its coupling with a global bosonic bath at a fixed temperature. Using an appropriate measure of fermionic entanglement, we identify families of two-fermion states whose entanglement persists throughout the evolution, either fully or partially, despite the noisy effects of the interaction with the bath, and independently of its temperature. The identified resilience to decoherence provides valuable insights into the entanglement dynamics of open systems of indistinguishable fermions, and into the conditions under which long-lived entanglement emerges under more general decoherence channels.
Quantum walks are fundamentally different from random walks due to the quantum superposition property of quantum objects. Quantum walk process was found to be very useful for quantum information and quantum computation applications. In this paper we demonstrate how to use quantum walks as a tool to generate high-dimensional two-particle fermionic entanglement. The generated entanglement can survive longer in the presence of depolorazing noise due to the periodicity of quantum walk dynamics. The possibility to create two distinguishable qudits in a system of tunnel-coupled semiconductor quantum dots is discussed.
We introduce a model of a quantum walk on a graph in which a particle jumps between neighboring nodes and interacts with independent spins sitting on the edges. Entanglement propagates with the walker. We apply this model to the case of a one-dimensional lattice to investigate its magnetic and entanglement properties. In the continuum limit, we recover a Landau-Lifshitz equation that describes the precession of spins. A rich dynamics is observed, with regimes of particle propagation and localization, together with spin oscillations and relaxation. Entanglement of the asymptotic states follows a volume law for most parameters (the coin rotation angle and the particle-spin coupling).