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High-fidelity and Fault-tolerant Teleportation of a Logical Qubit using Transversal Gates and Lattice Surgery on a Trapped-ion Quantum Computer
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Quantum state teleportation is commonly used in designs for large-scale fault-tolerant quantum computers. Using Quantinuum's H2 trapped-ion quantum processor, we implement the first demonstration of a fault-tolerant state teleportation circuit for a quantum error correction code - in particular, the planar topological [[7,1,3]] color code, or Steane code. The circuits use up to 30 trapped ions at the physical layer qubits and employ real-time quantum error correction - decoding mid-circuit measurement of syndromes and implementing corrections during the protocol. We conduct experiments on several variations of logical teleportation circuits using both transversal gates and lattice surgery protocols. Among the many measurements we report on, we measure the logical process fidelity of the transversal teleportation circuit to be 0.975(2) and the logical process fidelity of the lattice surgery teleportation circuit to be 0.851(9). Additionally, we run a teleportation circuit that is equivalent to Knill-style quantum error correction and measure the process fidelity to be 0.989(2).
Forward citations
Cited by 7 Pith papers
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Moveless compiles stabilizer-code syndrome extraction for QCCD trapped ions with ancilla-only shuttling, dynamic stabilizer reordering, and ancilla reuse, achieving up to 5.24x lower latency and up to two orders of ma...
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Syndrome statistics alone can reconstruct the detector error models of repetition, surface, and color code memories, including hyperedge probabilities, assuming independent Pauli noise with known error-event structure.
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A teleportation protocol for cat-state encoded qubits using only beam splitters and binary-outcome parity/dispersive measurements achieves near-perfect fidelity with repeated measurements.
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Controller-decoder system requirements derived by implementing Shor's algorithm with surface code
Running a non-Clifford surface-code circuit requires controller-decoder latency of tens of microseconds and parallel decoding tasks; a 1000-qubit, 0.1%-error processor could factor 21 with over 90% logical fidelity.
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