Resource-Efficient Teleportation of High-Dimensional Quantum Coherence via Initial Phase Engineering

Abstract

High-dimensional quantum systems leverage an expanded Hilbert space to enhance resilience against decoherence and noise. However, standard quantum teleportation is fundamentally limited by the quadratic growth of measurement complexity and high classical communication overhead, requiring the resolution of $d^2$ Bell states and $2{\log }_{2}d$ classical bits. In this study, we propose a resource-efficient high-dimensional coherence teleportation (REHDCT) protocol. By designing $d$ sets of specialized positive operator-valued measure (POVM) bases, our protocol achieves a 50\% reduction in classical communication by utilizing one of the $d$ designed POVM sets, which effectively scales the measurement complexity from $O(d^2)$ to $O(d)$. Furthermore, we demonstrate that by utilizing initial phase engineering to align the target qudit with the measurement basis, theoretically perfect teleportation of quantum coherence can be achieved for arbitrary qudit states. A quantitative robustness analysis reveals that the protocol remains highly resilient to operational errors, maintaining an efficiency above 99.6\% even under a 0.1 rad phase deviation for $d=16$. Our analysis under various noise models (amplitude damping, phase flip, depolarizing, and dit-flip) confirms that high-dimensional systems exhibit an expanding quantum advantage window as dimensionality increases. Notably, under dit-flip noise, perfect coherence teleportation can be restored through the optimal selection of the POVM basis. These findings establish REHDCT as a practical, hardware-friendly framework for resource-efficient quantum communication in future high-dimensional networks.

18 pages, 4 figures, accepted by Phys. Rev. A

References in corpus (42)

• Experimental quantum teleportation
• Advances in Quantum Metrology
• Quantifying Coherence
• Quantum Teleportation is a Universal Computational Primitive
• Security of quantum key distribution using d-level systems
• Free-Space distribution of entanglement and single photons over 144 km
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Ground-to-satellite quantum teleportation
• Distributed Quantum Computation over Noisy Channels
• Twisted Photons: New Quantum Perspectives in High Dimensions
• Advances in High Dimensional Quantum Entanglement
• Multipartite entanglement for continuous variables: A quantum teleportation network
• High-dimensional quantum communication: benefits, progress, and future challenges
• Quantum teleportation in high dimensions
• Induced measures in the space of mixed quantum states
• A universal qudit quantum processor with trapped ions
• How to quantify coherence: Distinguishing speakable and unspeakable notions
• Chip-to-chip quantum teleportation and multi-photon entanglement in silicon
• Realization of Deterministic Quantum Teleportation with Solid State Qubits
• Experimental high-dimensional quantum teleportation
• Quantum teleportation on a photonic chip
• Quantum phase gate for photonic qubits using only beam splitters and post-selection
• Experimental Teleportation of a Quantum Controlled-NOT Gate
• High-dimensional optical quantum logic in large operational spaces
• Asymptotic teleportation scheme as a universal programmable quantum processor
• Quantum gate teleportation between separated qubits in a trapped-ion processor
• Quantum teleportation over 100 km of fiber using highly-efficient superconducting nanowire single photon detectors
• Fast and noise-resistant implementation of quantum phase gates and creation of quantum entangled states
• Fighting noise with noise in realistic quantum teleportation
• Quantifying Coherence in Infinite Dimensional Systems
• Native qudit entanglement in a trapped ion quantum processor
• High-dimensional quantum teleportation under noisy environments
• Quantum Energy Teleportation without Limit of Distance
• Geometry of Quantum Computation with Qutrits
• Port-based teleportation in arbitrary dimension
• Three-player quantum Kolkata restaurant problem under decoherence
• High-dimensional Frequency-Encoded Quantum Information Processing with Passive Photonics and Time-Resolving Detection
• Teleportation of quantum coherence
• Generalization of port-based teleportation and controlled teleportation capability
• Simple criteria for noise resistance of two qudit entanglement
• Maximally Entangled States of Four Nonbinary Particles
• Qudit States in Noisy Quantum Channels