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Quantum Electronics

Nanophotonic quantum computer based on atomic quantum transistor

S N Andrianov, Sergey A. Moiseev

Published Oct 31, 2015• 2 citations
Publisher

Abstract

We propose a scheme of a quantum computer based on nanophotonic elements: two buses in the form of nanowaveguide resonators, two nanosized units of multiatom multiqubit quantum memory and a set of nanoprocessors in the form of photonic quantum transistors, each containing a pair of nanowaveguide ring resonators coupled via a quantum dot. The operation modes of nanoprocessor photonic quantum transistors are theoretically studied and the execution of main logical operations by means of them is demonstrated. We also discuss the prospects of the proposed nanophotonic quantum computer for operating in high-speed optical fibre networks.

DOI
10.1070/qe2015v045n10abeh015740

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In this work, we present an integrated waveguide-resonator scheme of an atomic quantum transistor with a multi-qubit memory. The quantum transistor is realized in an atomic-photon molecule formed of a linear chain of three interconnected resonators, each of which contains one resonant three-level atom. The resonators are connected through the waveguides to the quantum memory containing long-lived multi-atomic ensembles capable of storage of photonic qubits with an arbitrary temporal mode. We consider the protocols for implementation of one- and two-qubit operations in the proposed scheme over a system of qubits stored in quantum memory. The advantages and experimental implementation of the proposed scheme are also discussed.
A quantum transistor based quantum computer where the multiqubit quantum memory is a component of the quantum transistor and, correspondingly, takes part in the performance of quantum logical operations is considered. Proceeding from the generalized Jaynes–Cummings model, equations for coefficients of the wave function of the quantum system under consideration have been obtained for different stages of its evolution in processes of performing logical operations. The solution of the system of equations allows one to establish requirements that are imposed on the parameters of the initial Hamiltonian and must be satisfied for the effective operation of the computer; it also demonstrates the possibility of a universal set of quantum operations. Thus, based on the proposed approach, the possibility of constructing a compact multiatomic ensemble based on quantum computer using a quantum transistor for the implementation of two-qubit gates has been demonstrated.
In this paper we propose a model of a programmable quantum processing device realizable with existing nano-photonic technologies. It can be viewed as a basis for new high performance hardware architectures. Protocols for physical implementation of device on the controlled photon transfer and atomic transitions are presented. These protocols are designed for executing basic single-qubit and multi-qubit gates forming a universal set. We analyze the possible operation of this quantum computer scheme. Then we formalize the physical architecture by a mathematical model of a Quantum Processing Unit (QPU), which we use as a basis for the Quantum Programming Framework. This framework makes it possible to perform universal quantum computations in a multitasking environment.
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