How Long Can a Quantum Memory Withstand Depolarizing Noise?

Fernando Pastawski, Alastair Kay, Norbert Schuch, J. I. Cirac · Physical Review Letters · 2009

We investigate the possibilities and limitations of passive Hamiltonian protection of a quantum memory against depolarizing noise. Without protection, the lifetime of a single qubit is independent of N, the number of qubits composing the memory. In the presence of a protecting Hamiltonian, the lifetime increases at most logarithmically with N. We construct an explicit time-independent Hamiltonian which saturates this bound, exploiting the noise itself to achieve the protection.

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