Bosonic (And Other) Codes With Interesting Logical Gate Sets

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United States Simons Institute for the Theory of Computing
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Anthony Leverrier (INRIA)
https://simons.berkeley.edu/talks/anthony-leverrier-inria-2024-02-16
Advances in Quantum Coding Theory

I will discuss a very general framework to design bosonic codes with easily implementable logical gates. This approach recovers most well-known families of bosonic codes (GKP, cat codes), and also yields new constructions of multimode cat codes where passive Gaussian unitaries can implement all single-qubit Clifford gates. The same strategy is also applicable to multi-qubit codes with transversal gates. (Based on arXiv:2306.11621)



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Tags:
Simons Institute
theoretical computer science
UC Berkeley
Computer Science
Theory of Computation
Theory of Computing
Advances in Quantum Coding Theory
Anthony Leverrier