Entanglement teleportation along a regenerating hamster-wheel graph state.

Area of Science:

• Quantum Information Science
• Quantum Computing
• Quantum Entanglement

Background:

• Quantum teleportation is crucial for quantum communication and computation.
• Scaling quantum processors is limited by qubit count and connectivity.
• Efficient state transfer and entanglement preservation are key challenges.

Purpose of the Study:

• To present an efficient and reusable method for cyclic quantum teleportation.
• To demonstrate teleportation depth exceeding the number of physical qubits.
• To benchmark entanglement preservation in quantum processors.

Main Methods:

• Utilized a 20-qubit ion-trap quantum processor configured as a 'quantum hamster wheel'.
• Implemented cyclic teleportation of a two-qubit graph state.
• Applied dynamic circuits with byproduct operator correction.
• Evaluated teleportation quality using entanglement negativity and fidelity.

Main Results:

• Achieved 58% entanglement preservation after three cycles (56 qubits) on real hardware.
• Sustained 45% entanglement after 100 hops on a noisy emulator.
• Demonstrated teleportation depth exceeding the physical qubit count.

Conclusions:

• The 'quantum hamster wheel' approach enables cyclic teleportation and extends effective qubit count.
• This method provides a strategy for benchmarking entanglement preservation in quantum computers.
• The work is a step towards realizing measurement-based quantum computation.