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arXiv:quant-ph/0509043 · Physical Review A

Coulomb entangler and entanglement-testing network for waveguide qubits

L. E. Reichl, Michael G. Snyder

Published Sep 26, 2005• 13 citations
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Abstract

We present a small network for the testing of the entanglement of two ballistic electron waveguide qubits. The network produces different output conditional on the presence or absence of entanglement. The structure of the network allows for the determination of successful entanglement operations through the measurement of the output of a single qubit. We also present a simple model of a dynamic Coulomb-like interaction and use it to describe some characteristics of a proposed scheme for the entanglement of qubits in ballistic electron waveguides.

DOI
10.1103/physreva.72.032330

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We present a small network for the testing of the entanglement of two ballistic electron waveguide qubits. The network produces different output conditional on the presence or absence of entanglement. The structure of the network allows for the determination of successful entanglement operations through the measurement of the output of a single qubit. We also present a simple model of a dynamic Coulomb-like interaction and use it to describe some characteristics of a proposed scheme for the entanglement of qubits in ballistic electron waveguides.
We show that a network of ballistic electron waveguides can generate entangled Bell-like states from separable states when it is resonant. The network we study is grouped into individual qudits (d=4)(d=4)(d=4) made up of pairs of waveguides. Rotation gates in the network produce coherent superpositions of qudit states. A Coulomb gate entangles the qudits. We construct a unitary matrix which characterizes the network dynamics and allows a more systematic study of that dynamics.
We present a study of ballistic electron waveguides as used to construct simple quantum computational networks.We begin with an introduction to ballistic electron waveguides, some basic theory of quantum computers, and the possible role of electron waveguides in quantum computation.Following that, our study of various waveguide networks and the physics of the specific components of those networks.We continue with a discussion of shot noise in network elements and its possible role in helping to build good computational gates.Finally we conclude with a summary of research and possible future projects.
We propose a new approach to producing the qubits in electron ballistic transport in low-dimensional structures such as double quantum wells or double quantum wires.Next, we examine the possibility to produce quantum entanglement in the framework of the Jaynes-Cummings model and shown that at least in principle, the entanglement can be achieved due to series of "revivals" and "collapses" in the population inversion due to the interaction of a quantized single-mode EM-field with a two-level system.
Using the modified rate equation the local measurement of the entanglement between two quantum-dot qubits, with two isolated quantum-point-contact detectors, is investigated. It is shown that the measurement process will induce the decaying of the two-qubit entanglement, as well as the electron-occupation probabilities. Furthermore, we find an effective scheme to measure the two-qubit entanglement based on the local measurement. It is demonstrated that the entanglement between the two qubits coupled by the strong Coulomb interaction can be fully extracted according to the time-dependent variation rate of the detector current.
We propose an experiment to test Bell's inequality violation in condensed-matter physics. We show how to generate, manipulate, and detect entangled states using ballistic electrons in Coulomb-coupled semiconductor quantum wires. Due to its simplicity (only five gates are required to prepare entangled states and to test Bell's inequality), the proposed semiconductor-based scheme can be implemented with currently available technology. Moreover, its basic ingredients may play a role towards large-scale quantum-information processing in solid-state devices.