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Article

Topologically Protected Quantum Teleportation via Majorana Zero Modes: A Perspective on Scalability and Decoherence Immunity

1
Department of Physics, California State University, Dominguez Hills, Carson, CA 90747, USA
2
Department of Physics and Astronomy, Middle Tennessee State University, Murfreesboro, TN 37132, USA
*
Author to whom correspondence should be addressed.
Quantum Rep. 2025, 7(3), 42; https://doi.org/10.3390/quantum7030042
Submission received: 7 August 2025 / Revised: 4 September 2025 / Accepted: 9 September 2025 / Published: 11 September 2025

Abstract

We present a topologically protected teleportation protocol based on projective parity measurements between spatially separated Majorana zero modes (MZMs), eliminating the need for dynamic braiding. Unlike conventional teleportation schemes, our method preserves logical information through nonlocal encoding and suppresses decoherence exponentially with Majorana separation. We provide a rigorous mathematical framework that includes six theorems and a lemma, proving fidelity bounds, no entropy increase under ideal QND parity measurement under quantum non-demolition (QND) measurements, and compliance with the no-cloning theorem. We demonstrate that all correction operations lie within the Clifford group, enabling efficient, fault-tolerant implementation. Furthermore, we outline a scalable architecture for multi-qubit teleportation and relate our framework to recent experimental advances in quantum-dot-based Kitaev chains and superconducting nanowire platforms. These results position Majorana-based teleportation as a thermodynamically stable and experimentally viable approach to scalable quantum information transfer. All operations discussed are Clifford-only; achieving universality requires non-Clifford resources and lies outside our scope.
Keywords: Majorana zero modes; quantum teleportation; parity measurement; topological quantum computation; quantum coherence; quantum state fidelity Majorana zero modes; quantum teleportation; parity measurement; topological quantum computation; quantum coherence; quantum state fidelity

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MDPI and ACS Style

Crogman, H.T.; Dang, T.; Erenso, D. Topologically Protected Quantum Teleportation via Majorana Zero Modes: A Perspective on Scalability and Decoherence Immunity. Quantum Rep. 2025, 7, 42. https://doi.org/10.3390/quantum7030042

AMA Style

Crogman HT, Dang T, Erenso D. Topologically Protected Quantum Teleportation via Majorana Zero Modes: A Perspective on Scalability and Decoherence Immunity. Quantum Reports. 2025; 7(3):42. https://doi.org/10.3390/quantum7030042

Chicago/Turabian Style

Crogman, Horace T., To Dang, and Daniel Erenso. 2025. "Topologically Protected Quantum Teleportation via Majorana Zero Modes: A Perspective on Scalability and Decoherence Immunity" Quantum Reports 7, no. 3: 42. https://doi.org/10.3390/quantum7030042

APA Style

Crogman, H. T., Dang, T., & Erenso, D. (2025). Topologically Protected Quantum Teleportation via Majorana Zero Modes: A Perspective on Scalability and Decoherence Immunity. Quantum Reports, 7(3), 42. https://doi.org/10.3390/quantum7030042

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