How long can a quantum memory withstand depolarizing noise?

Abstract

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.

4 pages, 2 figures. Accepted version, Journal-Ref added

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• Quantum Subdivision Capacities and Continuous-time Quantum Coding
• Arboreal Bound Entanglement
• Lifetime of topological quantum memories in thermal environment
• Superclassical non-Markovian open quantum dynamics