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D-Wave Systems: Building a Quantum Computer

Alan MacCormack, Ajay K. Agrawal, Rebecca M. Henderson

Published Apr 26, 2004• 3 citations
OpenAlex

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We continue to investigate the use of quantum computers for building an optimal portfolio out of a universe of 60 U.S. listed, liquid equities. Starting from historical market data, we apply our unique problem formulation on the D-Wave Systems Inc. D-Wave 2000Q (TM) quantum annealing system (hereafter called D-Wave) to find the optimal risk vs return portfolio. We approach this first classically, then using the D-Wave, to select efficient buy and hold portfolios. Our results show that practitioners can use either classical or quantum annealing methods to select attractive portfolios. This builds upon our prior work on optimization of 40 stocks.
The goal of this paper is to introduce building blocks for adiabatic quantum algorithms. Adiabatic quantum computing uses the principle of quantum annealing, which implies that a carefully controlled energy solution is optimal and corresponds to minimizing a discrete function. The input function can be influenced by rewards and penalties to favor a solution that meets restrictions that are imposed by the problem. We show how to accomplish this influence for gates in adiabatic quantum computing, particularly the controlled-NOT gate (CNOT gate) which is fundamental to all quantum gates on two or more qubits. In addition, we adapt the Toffoli gate, the Fredkin gate, and the Hadamard gate to the Ising objective function which is a foundation for discrete optimization on D-Wave System machines. The quantum work in this paper encompasses Boolean operations, some of which are used to construct gates. We think the possible advantages of the building blocks in this paper will enhance quantum algorithms on D-Wave System computers.
Quantum computing shows optimized performance in storing, managing and analyzing huge volumes of data. It also plays a key role in many applications areas like health, finance, marketing and drug development. In this research paper, the overview of quantum D wave one and D wave two computers are analyzed based on mathematical computation, circuit building, physical properties and the type of execution. The study also shows the efficiency of D wave two computers in various applications. It also proves that the D wave two quantum computers shows remarkable performance.