Work

Analytical technique for simplification of the encoder–decoder circuit for a perfect five-qubit error correction

Year: 2006

Type: article

Abstract: Simpler encoding and decoding networks are necessary for more reliable quantum error-correcting codes (QECCs). The simplification of the encoder–decoder circuit for a perfect five-qubit QECC can be derived analytically if the QECC is converted from its equivalent one-way entanglement purification protocol. In this work, the analytical method to simplify the encoder–decoder circuit is introduced and a circuit that is as simple as the existing simplest circuits is presented as an example. The encoder–decoder circuit presented here involves nine single- and two-qubit unitary operations, only six of which are controlled-NOT gates.

Source: New Journal of Physics

DOI: 10.1088/1367-2630/8/5/080

Authors: Jin-Yuan Hsieh, Che-Ming Li, Der-San Chuu

Institutions: Minghsin University of Science and Technology, National Yang Ming Chiao Tung University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,610

Funder: National Science Council