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Decoherence Free Subspaces for Quantum Computation
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Decoherence in quantum computers is formulated within the Semigroup approach. The error generators are identified with the generators of a Lie algebra. This allows for a comprehensive description which includes as a special case the frequently assumed spin-boson model. A generic condition is presented for error-less quantum computation: decoherence-free subspaces are spanned by those states which are annihilated by all the generators. It is shown that these subspaces are stable to perturbations and moreover, that universal quantum computation is possible within them.
Forward citations
Cited by 2 Pith papers
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A Breakdown Case Study of the Lindblad Approach via Entanglement and Purity
A two-qubit system in a random many-body environment decoheres with two successive Gaussian decays, which a time-homogeneous Lindblad equation can never reproduce because its short-time decay is always linear.
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