Work

Gauge invariants of eigenspace and eigenvalue anholonomies: examples in hierarchical quantum circuits

Year: 2012

Type: article

Abstract: A set of gauge invariants are identified for the gauge theory of quantum anholonomies, which comprise both the Berry phase and an exotic anholonomy in eigenspaces. We examine these invariants for hierarchical families of quantum circuits whose qubit size can be arbitrarily large. It is also found that a hierarchical family of quantum circuits generally involves an NP-complete problem.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8113/45/33/335305

Authors: Atushi Tanaka, Taksu Cheon, Sang Wook Kim

Institutions: Tokyo Metropolitan University, Kochi University of Technology, Pusan National University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science

Awards: G4394890256, Exotic quantum holonomy in eigenvalues and eigenspaces, Mathematical physics of singular vertices in quantum graphs