Noise suppression via generalized-Markovian processes

Abstract

It is by now well established that noise itself can be useful for performing quantum information processing tasks. We present results which show how one can effectively reduce the error rate associated with a noisy quantum channel, by counteracting its detrimental effects with another form of noise. In particular, we consider the effect of adding on top of a purely Markovian (Lindblad) dynamics, a more general form of dissipation, which we refer to as generalized-Markovian noise. This noise has an associated memory kernel and the resulting dynamics is described by an integro-differential equation. The overall dynamics are characterized by decay rates which depend not only on the original dissipative time-scales, but also on the new integral kernel. We find that one can engineer this kernel such that the overall rate of decay is lowered by the addition of this noise term. We illustrate this technique for the case where the bare noise is described by a dephasing Pauli channel. We analytically solve this model, and show that one can effectively double (or even triple) the length of the channel, whilst achieving the same fidelity, entanglement, and error threshold. We numerically verify this scheme can also be used to protect against thermal Markovian noise (at non-zero temperature), which models spontaneous emission and excitation processes. A physical interpretation of this scheme is discussed, whereby the added generalized-Markovian noise causes the system to become periodically decoupled from the background Markovian noise.

7+3 pages, 5 figures. v2: Updated to published version, which includes a new example (thermal qubit)

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• Assessing and Advancing the Potential of Quantum Computing: A NASA Case Study
• Eternal Adiabaticity
• Phase estimation of time-bin qudits by time-resolved single-photon counting
• Approximating Invertible Maps by Recovery Channels: Optimality and an Application to Non-Markovian Dynamics
• Engineering fidelity of the generalized Pauli channels via legitimate memory kernels
• Master Equation Emulation and Coherence Preservation with Classical Control of a Superconducting Qubit
• Engineering classical capacity of generalized Pauli channels with admissible memory kernels
• Enhancing phase-covariant channel performance with non-unitality
• Kick and fix: the roots of quantum control
• Improving classical capacity of qubit dynamical maps through stationary state manipulation