Using IBM-Q to Study and Visualize the Ground State Properties of the Su-Schrieffer-Heeger Model

Conference · Mon Aug 06 04:00:00 EDT 2018

OSTI ID:1619262

Samaroo, Aditya; McGuigan, Michael

Quantum computing takes advantage of quantum mechanical properties such as superposition and entanglement in order to perform calculations that are too intensive for a classical computer. Richard Feynmann came up with the idea of quantum computers in 1982, where it was only theoretically motivated until the creation of Shor’s algorithm. This algorithm involves the factorization of large numbers, which in turn makes it possible to break encryption keys. Quantum computers would be capable of using Shor’s algorithm to crack encryptions at a significantly faster speed than a classical computer, which provided the motivation to start developing quantum computers to run Shor’s algorithm and discover other uses. In the present day, companies such as Google, Microsoft, D-Wave Systems, Rigetti Computing, and IBM are building quantum computers using different techniques and racing to achieve quantum supremacy. The purpose of quantum computing is to perform calculations that are too difficult to be executed on classical computers. But before we are able to use these computers, we must first prove that they are able to use quantum mechanics that will in turn be used to perform the calculations. As a proof of principle we use algorithms that can be done classically and compare those results to that of the quantum computer. In theory, if the quantum computer works for small qubit systems, larger qubit systems can be implemented and run on quantum computers.

• Research Organization: Brookhaven National Laboratory (BNL), Upton, NY (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21); Laboratory-Directed Research and Development (LDRD)
• DOE Contract Number: SC0012704
• OSTI ID: 1619262
• Report Number(s): BNL-209522-2018-PUCP
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
IBM-Q