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Showing 1 to 6 of 6 for “"quantum code"”.
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An accurate analytical framework for computing fault-tolerance thresholds using the [[7,1,3]] quantum code
In studies of the threshold for fault-tolerant quantum error-correction, it is generally assumed that the noise channel at all levels of error-correction is the depolarizing channel. The effects of this assumption on the threshold result are unknown. We address this problem by calculating the …
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Quantum codes on Hurwitz surfaces
Ever since the birth of the first quantum error correcting code, many error correcting techniques and formalism has been constructed so far. Among those, generating a quantum code on a locally planar geometry have lead to some interesting classes of codes. Main idea of this thesis stems from …
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Quantum Algebraic Geometry Codes
Quantum error correction is an essential aspect of quantum information theory, providing protection for quantum states against noise and decoherence. This thesis investigates the construction of quantum error correction codes derived from classical algebraic geometry (AG) codes. We present two …
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Quantum Codes, Transversal Gates, and Representation Theory
… out the algorithm fault tolerantly requires a code that implements 2I transversally. We fill this void by constructing a family of distance d = 3 codes that all implement 2I transversally [39, 42]. To do this, we introduce twisted unitary t-groups, a generalization of unitary t-groups under a …
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Fault-tolerant quantum computer architectures using hierarchies of quantum error-correcting codes
Quantum computers have been shown to efficiently solve a class of problems for which no efficient solution is otherwise known. Physical systems can implement quantum computation, but devising realistic schemes is an extremely challenging problem largely due to the effect of noise. A quantum …