journal article·2023-08-02

Braiding fractional quantum Hall quasiholes on a superconducting quantum processor

Ammar Kirmani, Derek S. Wang, Pouyan Ghaemi, Armin Rahmani

Physical Review B· Volume 108· Issue 6
Publisher page

Abstract

Using a noisy quantum computer, the authors emulate direct braiding in a fractional quantum Hall system via a simplified model for a thin cylinder. The quantum algorithm prepares a ground state with two quasiholes, performs a unitary operation controlled by an ancilla to move one quasihole around the other, and measures the ancilla with error mitigation to extract the wave function's acquired phase. This approach offers a method for studying braiding statistics in fractional Hall states in digitized devices.
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Research context

OpenAlex topics: Quantum and electron transport phenomena · Topological Materials and Phenomena · Quantum many-body systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Physics Department, City College of the City University of New York, New York 10031, USA

IBM Quantum, IBM T.J. Watson Research Center, Yorktown Heights 10598, USA

Physics Program, Graduate Center of City University of New York, New York 10031, USA

Department of Physics and Astronomy and Advanced Materials Science and Engineering Center, Western Washington University, Bellingham, Washington 98225, USA

Funding

National Science Foundation

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