Resource estimation and routing of two qubit entanglement for distributed quantum computing
- Publication Type:
- Thesis
- Issue Date:
- 2024
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Two qubit entanglement is a precious commodity for quantum computing, as it enables lossless transmission of arbitrary quantum states. My first result is a framework for studying entanglement routing algorithms that I call the cost-vector formalism. Here, the edges of a multi-graph represent entanglement links that may exist between users. Entanglement routing is treated as a sequence of edge-contractions, which extend and refine entanglement throughout the network. My second work investigates lattice surgery rates between distant surface codes using entanglement mediated by quantum satellites. Our results suggest quantum satellites are unsuitable for continental-scale distributed quantum computation. My third work analyzes lattice surgery rates between trapped-ion surface codes in separate ion traps. Additionally, I estimate the number of ions that will be required to perform lattice surgery at various rates. Our prohibitive estimates indicate an urgent need for improved optical coupling for trapped-ion quantum computers to remain viable in the long term. In an unrelated final chapter, I present software that assembles quantum circuits to simulate arbitrary linear interferometers in the second quantization picture and I discuss various other simulation approaches.
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