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A hidden variable model for universal quantum computation with magic states on qubits

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arxiv 2004.01992 v2 pith:RD2BGCH4 submitted 2020-04-04 quant-ph

A hidden variable model for universal quantum computation with magic states on qubits

classification quant-ph
keywords computationquantummagicstatesmodelspacestateapplied
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that every quantum computation can be described by Bayesian update of a probability distribution on a finite state space. When applied to the model of quantum computation with magic states, the size of this state space only depends on the number of magic states used in the quantum computation, and not on the length of the gate and measurement sequence.

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    Contextuality witnesses detect translation symmetry breaking in 1D TI Hamiltonians, with maximal violation at p-periodic ground states, reducible to finite periodic rings with matching bounds.