Emulating Quantum Teleportation of a Majorana Zero Mode Qubit

Area of Science:

• Quantum Computing
• Condensed Matter Physics
• Quantum Information Science

Background:

• Topological quantum computation offers a route to fault-tolerant quantum computing using anyons.
• Majorana zero modes in Kitaev chains are non-Abelian anyons suitable for braiding operations and quantum gates.

Purpose of the Study:

• To perform a quantum simulation of topological quantum computing by teleporting a qubit encoded in Majorana zero modes.
• To demonstrate the feasibility of quantum state teleportation between two Kitaev chains using braiding operations.

Main Methods:

• Mapping the Kitaev chain to an equivalent spin version.
• Realizing ground states in a superconducting quantum processor.
• Implementing a quantum teleportation circuit using only braiding operations.

Main Results:

• Successful quantum state teleportation of a qubit encoded in Majorana zero modes between two Kitaev chains.
• Achieved an improved average teleportation fidelity from 70.76±0.35% to 84.60±0.11% for six distinct states.
• Demonstrated fidelity exceeding the classical bound, leveraging Majorana encoding as a quantum error detection code.

Conclusions:

• Quantum simulation of topological quantum computing is achievable using superconducting processors.
• Braiding operations, even restricted to Clifford gates, can perform quantum teleportation.
• Majorana encoding enhances teleportation fidelity by providing quantum error detection capabilities.