Speaker
Mark Wilde
Description
Mark Wilde
Information-theoretic aspects of the generalized amplitude damping channel
The generalized amplitude damping channel (GADC) is one of the sources of noise in superconducting-circuit-based quantum computing. It can be viewed as the qubit analogue of the bosonic thermal channel, and it thus can be used to model lossy processes in the presence of background noise for low-temperature systems. In this work, we provide an information-theoretic study of the GADC. We first determine the parameter range for which the GADC is entanglement breaking and the range for which it is anti-degradable. We then establish several upper bounds on its classical, quantum, and private capacities. These bounds are based on data-processing inequalities and the uniform continuity of information-theoretic quantities, as well as other techniques. We also establish upper bounds on the two-way assisted quantum and private capacities of the GADC ("two-way" meaning that public classical communication is available for free). These bounds are based on the squashed entanglement, and they are established by constructing particular squashing channels. We compare these bounds with the known max- Rains information bound, the known mutual information bound, and another based on approximate covariance. For all capacities considered, we find that a large variety of state-of-the-art techniques are useful in establishing bounds.
This is joint work with Sumeet Khatri (LSU) and Kunal Sharma (LSU). https://arxiv.org/abs/1903.07747
Information-theoretic aspects of the generalized amplitude damping channel
The generalized amplitude damping channel (GADC) is one of the sources of noise in superconducting-circuit-based quantum computing. It can be viewed as the qubit analogue of the bosonic thermal channel, and it thus can be used to model lossy processes in the presence of background noise for low-temperature systems. In this work, we provide an information-theoretic study of the GADC. We first determine the parameter range for which the GADC is entanglement breaking and the range for which it is anti-degradable. We then establish several upper bounds on its classical, quantum, and private capacities. These bounds are based on data-processing inequalities and the uniform continuity of information-theoretic quantities, as well as other techniques. We also establish upper bounds on the two-way assisted quantum and private capacities of the GADC ("two-way" meaning that public classical communication is available for free). These bounds are based on the squashed entanglement, and they are established by constructing particular squashing channels. We compare these bounds with the known max- Rains information bound, the known mutual information bound, and another based on approximate covariance. For all capacities considered, we find that a large variety of state-of-the-art techniques are useful in establishing bounds.
This is joint work with Sumeet Khatri (LSU) and Kunal Sharma (LSU). https://arxiv.org/abs/1903.07747
Primary author
Prof.
Mark Wilde
