Bures and Sjöqvist metrics over thermal state manifolds for spin qubits and superconducting flux qubits

The Bures and Sjöqvist metrics are used to quantify the distinguishability of quantum states in a quantum information context. The thermal state manifolds refer to the set of mixed quantum states that can be described by thermal equilibrium conditions at a certain temperature.

For spin qubits and superconducting flux qubits, these metrics are important for understanding the sensitivity of the quantum systems to changes in the environmental conditions, such as temperature. They provide valuable information about how robustly the qubits can maintain coherence and perform quantum operations in the presence of thermal fluctuations.

Researchers use these metrics to analyze the quantum fidelity and geometric properties of the state manifolds, which are crucial for studying quantum error correction, quantum information processing, and quantum control in these systems. By investigating the Bures and Sjöqvist metrics over the thermal state manifolds, scientists can gain insights into the performance and resilience of spin qubits and superconducting flux qubits in practical quantum technologies.