Work

Encoding Majorana codes

Year: 2024

Type: article

Abstract: To implement a quantum error-correction protocol, we first need a scheme to prepare our state in the correct subspace of the code, and this can be done using a unitary encoding circuit. Majorana codes are special since any gates that transform such codes must preserve fermionic parity. In this paper, we present an algorithm that uses the stabilizer matrix to compute unitary encoding circuits for Majorana codes. We present two approaches, both of which use a version of Gaussian elimination with row operations replaced with elementary fermionic Clifford operations. One approach uses an additional ancilla mode and works for all Majorana stabilizer codes, while the second approach does not use an ancilla but does not work if the total parity is inside the stabilizer group.

Source: Physical Review A

DOI: 10.1103/physreva.110.032430

Authors: Maryam Mudassar, Riley W. Chien, Daniel Gottesman

Institutions: Dartmouth College, Joint Center for Quantum Information and Computer Science, University of Maryland, College Park

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Foundation for Agronomic Reasearch

Awards: QLCI-CI: NSF Quantum Leap Challenge Institute for Robust Quantum Simulation, G296062506, G6818706019, Topological Fermionic Quantum Simulation