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Multiple choice
The Eastin-Knill theorem (2009) places a fundamental restriction on transversal gates. What does it state for any quantum error-detecting code that detects at least one error?
The set of logical gates implementable transversally is a finite group, so no such code has a universal transversal gate set
Transversal gates can never include even the logical Pauli X and Z operators
Every logical gate, including the T gate, can be implemented transversally
The transversal gate set always forms a dense (continuous) subgroup of SU(2^k)
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