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Transversal fault tolerant distributed quantum computing operations
John Stack1, Ming Wang2, Frank Mueller3
1Department of Computer Science, North Carolina State University, Raleigh, NC, USA. jstack@ncsu.edu.
Distributed quantum computing using transversal operations can outperform traditional methods. Non-local CNOT gates show significantly lower error rates, enabling scalable fault-tolerant quantum computation.
Area of Science:
- Quantum Computing
- Fault-Tolerant Architectures
- Quantum Information Science
Background:
- Scalable quantum computing relies on distributed architectures.
- Performance of fault-tolerant operations across noisy links is not well understood.
Purpose of the Study:
- To evaluate distributed quantum computing primitives.
- To compare transversal non-local CNOT and logical teleportation.
- To assess performance in quantum algorithm subroutines.
Main Methods:
- Circuit-level simulations using the Transversal Multiple Code Block Simulator library.
- Analysis of surface and bivariate-bicycle codes.
- Comparison with surface code lattice surgery.
Main Results:
- Distributed qLDPC transversal operations outperform surface code lattice surgery.
- Non-local CNOT gates achieve lower logical error rates than teleportation.
- Specific code distances and error rates identified for achieving low logical error rates (<10^-12).
Conclusions:
- Distributed quantum computing with qLDPC codes offers efficient parallel computation.
- Non-local CNOT is a promising primitive for reducing errors in distributed systems.
- Results guide architecture and code selection for large-scale quantum algorithms.
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